La energía que posee un cuerpo que se encuentra en movimiento se conoce como energía cinética. La Física es la ciencia encargada de estudiar este fenómeno natural y, para calcularla, utiliza la fórmula. La unidad de medida de la energía es el julio (J).

Answers

Answer 1

Answer:

Energía cinética = 0,5 x (masa x velocidad^2).

Step-by-step explanation:

"Cinética" significa "movimiento", y por lo tanto, la energía cinética es la energía que hay en algún objeto o cuerpo porque se está moviendo. Así, esta energía puede definirse como el trabajo mecánico necesario para acelerar un objeto de masa particular desde el carril hasta el terreno en movimiento. Al recibir esta energía rápidamente, el cuerpo retiene esta energía cinética dentro de él, a menos que cambie su velocidad.


Related Questions

A group bought 12 movie tickets that cost a total of $120. How many student tickets were bought? Student tickets cost $9 each

Adult tickets cost $12 each

Answers

Let x be the number of student tickets and y be the number of adult tickets. There are 12 tickets total. Therefore: `x + y = 12`The cost of student tickets is $9 and the cost of adult tickets is $12.

We know that the cost of all 12 tickets is $120. Therefore: `9x + 12y = 120`We can solve this system of equations by substitution or elimination.

Let's use substitution: Solve the first equation for `x`: `x = 12 - y`Substitute that into the second equation: `9(12 - y) + 12y = 120`Simplify and solve for `y`: `108 - 9y + 12y = 120` `3y = 12` `y = 4`Now we know that 4 adult tickets were bought. We can substitute that back into the first equation to find the number of student tickets: `x + 4 = 12` `x = 8`Therefore, 8 student tickets were bought.

Know more about system of equations here:

https://brainly.com/question/20067450

#SPJ11

Find the exact value of tan 13pi/4
without a calculator. show work that involves a picture

Answers

The exact value of trigonometric ratio, tan 13π/4 is 1

The given trigonometric ratio,

tan 13π/4

We can write is as

⇒ tan(3π + π/4)

We know one rotation takes 2π angle

Then,

After 3π rotation the quadrant of tan be 3rd quadrant

Since in 3rd quadrant the trigonometric ratio tan is always positive

therefore,

⇒ tan(3π + π/4) = tan(π/4)

Ans we also know that

At π/4 the value of tan is 1.

then,

⇒  tan(π/4) = 1

Hence the exact value of

⇒  tan 13π/4

     =  tan(3π + π/4)

     = 1

To learn more about trigonometric ratio visit:

https://brainly.com/question/11016599

#SPJ1

Analyze the logical forms of the following statements. Use A to represent "Alice has a dog," B to represent "Bob has a dog," and C to represent "Carol has a cat" to write each as a symbolic statement.
Either Alice or Bob has a dog.
Neither Alice nor Bob has a dog, but Carol has a cat.
Either Alice has a dog and Carol has a cat, or Bob has a dog and Carol does not have a cat

Answers

To analyze the logical forms of the given statements, we can use symbolic logic. We can represent "Alice has a dog" as A, "Bob has a dog" as B, and "Carol has a cat" as C.

The first statement "Either Alice or Bob has a dog" can be represented as (A v B).

The second statement "Neither Alice nor Bob has a dog, but Carol has a cat" can be represented as ~(A v B) ∧ C.

The third statement "Either Alice has a dog and Carol has a cat, or Bob has a dog and Carol does not have a cat" can be represented as (A ∧ C) v (B ∧ ~C).



Symbolic logic helps us to represent the given statements in a clear and concise way. The symbols A, B, and C are used to represent the phrases "Alice has a dog," "Bob has a dog," and "Carol has a cat," respectively.

In the first statement, "Either Alice or Bob has a dog," we can use the symbol v (which means "or") to connect A and B. Therefore, (A v B) represents this statement.

In the second statement, "Neither Alice nor Bob has a dog, but Carol has a cat," we can use the symbol ~ (which means "not") to represent "neither." Therefore, ~(A v B) means "not (A or B)." Also, the symbol ∧ (which means "and") can be used to connect ~(A v B) and C. Therefore, ~(A v B) ∧ C represents this statement.

In the third statement, "Either Alice has a dog and Carol has a cat, or Bob has a dog and Carol does not have a cat," we can use the symbols ∧ (which means "and") and v (which means "or") to connect the phrases. Therefore, (A ∧ C) v (B ∧ ~C) represents this statement.


By using symbolic logic, we can represent the given statements in a clear and concise way. The first statement can be represented as (A v B), the second statement can be represented as ~(A v B) ∧ C, and the third statement can be represented as (A ∧ C) v (B ∧ ~C).

To learn more about second visit:

https://brainly.com/question/11879335

#SPJ11

explain what the P-value means in this context. choose the correct answer below.a. the probability of observing a sample mean lower than 43.80 is 1.1% assuming the data come from a population that follows a normal model.b. the probability of observing a sample mean lower than 40.8 is 1.1% assuming the data come from a population that follows a normal model.c. if the average fuel economy is 43.80 mpg,the chance of obtaining a population mean of 40.8 or more by natural sampling variation is 1.1%d. if the average fuel economy is 40.8 mpg,the chance of obtaining a population mean of 43.80 or more by natural sampling variation is 1.1%

Answers

The probability of observing a sample mean lower than 40.8 is 1.1% assuming the data come from a population that follows a normal model. Therefore, option b. is correct.

The p-value is a measure of the evidence against a null hypothesis. In statistical hypothesis testing, the null hypothesis is typically a statement of "no effect" or "no difference" between two groups or variables. The p-value represents the probability of obtaining a sample statistic (or one more extreme) if the null hypothesis is true.

In this context, the p-value is 1.1%, which means that if the null hypothesis were true (i.e., the population mean is equal to 43.80), the probability of obtaining a sample mean lower than 40.8 is 1.1%. This suggests that the data provide some evidence against the null hypothesis and support the alternative hypothesis that the population mean is less than 43.80.

for such more question on  probability

https://brainly.com/question/13604758

#SPJ11

The correct answer is a. The P-value represents the probability of observing a sample mean as extreme or more extreme than the one observed, assuming that the data comes from a population that follows a normal model.

In this context, a P-value of 1.1% means that there is a low probability of observing a sample mean lower than 43.80, given that the data comes from a normal distribution. This suggests that the observed sample mean is unlikely to have occurred by chance alone, and provides evidence for a significant difference between the sample mean and the hypothesized population mean.


The P-value represents the probability of observing a sample mean as extreme as, or more extreme than, the one obtained from your data (43.80 mpg) if the true population mean is 40.8 mpg. The P-value of 1.1% indicates that there is a 1.1% chance of obtaining a sample mean of 43.80 or more due to natural sampling variation, assuming the population follows a normal model.

To learn more about probability : brainly.com/question/31828911

#SPJ11

Identify the properties of Student's t-distribution. Select all that apply. A. The area in the tails of the t-distribution is less than the area in the tails of the standard normal distribution. B. It is the same regardless of the sample size. C. As t gets extremely large, the graph approaches, but never equals, zero. Similarly, as t gets extremely small (negative), the graph approaches, but never equals, zero. D. As the sample size n increases, the distribution (and the density curve) of the t-distribution becomes more like the standard normal distribution. E. It is symmetric around t= 0. F. The area under the curve is 1; half the area is to the right of 0 and half the area is to the left of 0.

Answers

The area under the curve is 1; half the area is to the right of 0 and half the area is to the left of 0. So, the correct properties are C, D, E, and F.

The properties of Student's t-distribution are as follows:
A. The area in the tails of the t-distribution is less than the area in the tails of the standard normal distribution.
C. As t gets extremely large, the graph approaches, but never equals, zero. Similarly, as t gets extremely small (negative), the graph approaches, but never equals, zero.
D. As the sample size n increases, the distribution (and the density curve) of the t-distribution becomes more like the standard normal distribution.
E. It is symmetric around t=0.
F. The area under the curve is 1; half the area is to the right of 0 and half the area is to the left of 0.

Learn more about standard normal distribution

brainly.com/question/29509087

#SPJ11

Final answer:

The properties of the Student's t-distribution include: the area in the tails is less than the standard normal distribution, it becomes more like the standard normal distribution as the sample size increases, it is symmetric around t=0, and the area under the curve is 1 and evenly distributed.

Explanation:

The properties of the Student's t-distribution include:

A. The area in the tails of the t-distribution is less than the area in the tails of the standard normal distribution.D. As the sample size n increases, the distribution (and the density curve) of the t-distribution becomes more like the standard normal distribution.E. It is symmetric around t= 0.F. The area under the curve is 1; half the area is to the right of 0 and half the area is to the left of 0.

Learn more about Properties of the Student's t-distribution here:

https://brainly.com/question/32233739

#SPJ11

to find ∫x3(x4−15)7dx, you would need to use u-substitution. what u could be used to find this antiderivative?

Answers

To find ∫x^3(x^4-15)^7 dx, u-substitution can be used with u = x^4 - 15.

Let u = x^4 - 15. Take the derivative of u with respect to x: du/dx = 4x^3.

Rearrange the equation to solve for dx: dx = du / (4x^3).

Substitute u and dx into the integral: ∫x^3(x^4-15)^7 dx = ∫(x^3)(u^7)(du / (4x^3)).

Simplify the integral: ∫(u^7)/4 du.

Integrate to find the antiderivative of (u^7)/4: (1/4)(u^8) / 8.

Substitute back u = x^4 - 15: (1/32)(x^4 - 15)^8 + C, where C is the constant of integration.

For more questions like Integral click the link below:

https://brainly.com/question/18125359

#SPJ11

I NEED HELP ASAP DUE IN 10 MINS WILL GIVE BRAINLST TO BEST ANSWER!
Nine years ago, katie was twice as old as elena was then. Elena realizes, "in four years, i'll be as old as katie is now" Elena writes down these equations to help her make sense of the situation: K- 9 = 2 (e - 9 ) and e + 4 = k
If elena is currently e years old and katie is k years old how old is katie now?

Answers

The current age of Katie is 1 year and the current age of Elena is 5 years

What is the age?

Statement 1

Let Katie's age be x

Let Elena's age be y

x - 9 = 2(y - 9)

x - 9 = 2y - 18

x - 2y = -18 + 9

x - 2y = - 9

Statement 2;

x + 4 = y

x - y = -4

We then have that;

x - 2y = - 9 ---- (1)

x - y = -4 ----- (2)

x = -4 + y -----(3)

Substitute (3) into (1)

-4 + y - 2y = -9

-y = -9 + 4

y = 5

The substitute y = 4 into (1)

x - 2(5) = -9

x = -9 + 10

x = 1

We can see that we have used the equations to show that the current ages of Katie and Elena are 5 years and 1 year respectively.

Learn more about equation;https://brainly.com/question/29657983

#SPJ1

suppose in an orchard the number of apples in a tree is normally distributed with a mean of 300 and a standard deviation of 30 apples. find the probability that a given tree has between 300 and 390 apples
210
240
270
330
300
360
390

Answers

Answer: The probability that a given tree has between 300 and 390 apples is approximately 0.4987, or 49.87%.

Step-by-step explanation: To find the probability that a given tree has between 300 and 390 apples, we need to calculate the area under the normal distribution curve between those two values.

Let's calculate the z-scores for each of the values:

For 300 apples:

z = (300 - 300) / 30 = 0

For 390 apples:

z = (390 - 300) / 30 ≈ 3

Next, we can use a standard normal distribution table or a calculator to find the corresponding probabilities for these z-scores.

The probability of having a value less than or equal to 300 apples (z = 0) is 0.5000 (from the standard normal distribution table).

The probability of having a value less than or equal to 390 apples (z ≈ 3) is approximately 0.9987.

To find the probability between 300 and 390 apples, we subtract the probability of having a value less than or equal to 300 from the probability of having a value less than or equal to 390:

P(300 ≤ X ≤ 390) = P(X ≤ 390) - P(X ≤ 300)

= 0.9987 - 0.5000

= 0.4987

Therefore, the probability that a given tree has between 300 and 390 apples is approximately 0.4987, or 49.87%.

For more questions on probability

https://brainly.com/question/30460538

#SPJ11

Strong earthquakes occur according to a Poisson process in a metropolitan area with a mean rate of once in 50 years. There are three bridges in the metropolitan area. When a strong earthquake occurs, there is a probability of 0. 3 that a given bridge will collapse. Assume the events of collapse between bridges during a strong earthquake are statistically independent; also, the events of bridge collapse between earthquakes are also statistically independent.



Required:


What is the probability of "no bridge collapse from strong earthquakes" during the next 20 years?

Answers

To find the probability of "no bridge collapse from strong earthquakes" during the next 20 years, we need to calculate the probability of no bridge collapses during the first 20 years, and then multiply it by the probability that no bridge collapses occur during the next 20 years.

The probability of no bridge collapses during the first 20 years is equal to the probability of no bridge collapses during the first 20 years given that no bridge collapses have occurred during the first 20 years, multiplied by the probability that no bridge collapses have occurred during the first 20 years.

The probability of no bridge collapses given that no bridge collapses have occurred during the first 20 years is equal to 1 - the probability of a bridge collapse during the first 20 years, which is 0.7.

The probability that no bridge collapses have occurred during the first 20 years is equal to 1 - the probability of a bridge collapse during the first 20 years, which is 0.7.

Therefore, the probability of "no bridge collapse from strong earthquakes" during the next 20 years is:

1 - 0.7 * 0.7 = 0.27

So the probability of "no bridge collapse from strong earthquakes" during the next 20 years is 0.27

Learn more about probability visit: brainly.com/question/25839839

#SPJ11

a convex mirror has a focal length of magnitude f. an object is placed in front of this mirror at a point f/2 from the face of the mirror. The image will appear upright and enlarged. behind the mirror. upright and reduced. inverted and reduced. inverted and enlarged.

Answers

The image will be virtual, upright, and reduced in size.

How to find the position of image?

A convex mirror always forms virtual images, meaning the light rays do not actually converge to form an image but appear to diverge from a virtual image point.

The image formed by a convex mirror is always upright and reduced, regardless of the position of the object in front of the mirror.

In this case, since the object is placed at a distance of f/2 from the mirror, which is less than the focal length of the mirror, the image will be formed at a distance greater than the focal length behind the mirror.

This implies that the image will be virtual, upright, and reduced in size.

Therefore, the correct answer is: upright and reduced.

Learn more about virtual images

brainly.com/question/12538517

#SPJ11

find the missing side x and round to the nearest tenth

Answers

The length of the side x for the right triangle is equal to be 23.6 to the nearest tenth using the Pythagoras rule.

What is the Pythagoras rule?

The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

For the right triangle;

x² = 14² + 19²

x² = 196 + 361

x² = 557

x = √557 {take square root of both sides}

x = 23.6008

Therefore, the length of the hypotenuse side x is equal to be 23.6 to the nearest tenth using the Pythagoras rule.

Read more about Pythagoras here:https://brainly.com/question/343682

#SPJ1

consider the following four observations of a process of interest: 89 24 9 50 you are trying to decide whether an exponential or a uniform distribution would be a better fit for the data.a) Develop Q-Q plots for the exponential and uniform distributions, using the data to estimate any parameters you need
(NOTE: Your graphs do not need to be perfectly to scale, but they should be readable and you need to compute the graph value
b) Which distribution appears to be a better fit for your data and WHY?

Answers

To develop Q-Q plots for the exponential and uniform distributions, we first need to order the data in ascending order: 9, 24, 50, 89.

For the exponential distribution, we use the formula F(x) = 1 - e^(-λx) where λ is the rate parameter. We estimate λ using the sample mean, which is 43. We then compute the expected values of F(x) for each observation: 0.001, 0.16, 0.52, 0.83. We plot these expected values against the ordered data on a Q-Q plot.

For the uniform distribution, we estimate the parameters as a = 9 and b = 89, the minimum and maximum values in the data set. We then compute the expected values of F(x) for each observation using the formula F(x) = (x-a)/(b-a). The expected values for each observation are: 0, 0.167, 0.556, 1.

Looking at the Q-Q plots, we can see that the data points lie closer to the diagonal line for the uniform distribution than the exponential distribution. This suggests that the uniform distribution is a better fit for the data than the exponential distribution.

In summary, based on the Q-Q plots, we can conclude that the uniform distribution appears to be a better fit for the data than the exponential distribution. This may be due to the fact that the data set is relatively small and does not exhibit the exponential decay pattern often seen in larger data sets.

Learn more about distributions here:

https://brainly.com/question/29062095

#SPJ11

use a double- or half-angle formula to solve the equation in the interval [0, 2). (enter your answers as a comma-separated list.) cos(2) sin2() = 0

Answers

The solutions to the equation cos(2θ)sin^2(θ) = 0 in the interval [0, 2π) are θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

We can use the double-angle identity for cosine to rewrite cos(2θ) as 2cos^2(θ) - 1. Substituting this into the equation, we get:

2cos^2(θ) - 1 · sin^2(θ) = 0

Expanding the left-hand side using the identity sin^2(θ) = 1 - cos^2(θ), we get:

2cos^2(θ) - 1 · (1 - cos^2(θ)) = 0

Simplifying and factoring, we get:

2cos^4(θ) - 2cos^2(θ) + 1 = 0

This is a quadratic equation in cos^2(θ), so we can use the quadratic formula:

cos^2(θ) = [2 ± sqrt(4 - 8)] / 4

cos^2(θ) = [1 ± i]/2

Since cos^2(θ) must be a real number between 0 and 1, we can only take the positive square root:

cos(θ) = sqrt([1 + i]/2)

To find the two solutions in the interval [0, 2π), we need to use the half-angle formula for cosine:

cos(θ/2) = ±sqrt[(1 + cos(θ))/2]

Substituting cos(θ) = sqrt([1 + i]/2), we get:

cos(θ/2) = ±sqrt[(1 + sqrt([1 + i]/2))/2]

We can simplify this expression using the fact that sqrt(i) = (1 + i)/sqrt(2):

cos(θ/2) = ±[(1 + sqrt(1 + i))/2]

Taking the positive and negative square roots gives us two solutions:

cos(θ/2) = (1 + sqrt(1 + i))/2, θ/2 = 0.5061 radians or 2.6354 radians

cos(θ/2) = -(1 + sqrt(1 + i))/2, θ/2 = 1.6347 radians or 3.764 radians

Multiplying each solution by 2 gives us the final solutions in the interval [0, 2π):

θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

Therefore, the solutions to the equation cos(2θ)sin^2(θ) = 0 in the interval [0, 2π) are:

θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

Learn more about interval here

https://brainly.com/question/479532

#SPJ11

a software company is interested in improving customer satisfaction rate from the currently claimed. the company sponsored a survey of customers and found that customers were satisfied. what is the test statistic ?

Answers

The test statistic depends on the specific hypothesis test being conducted.

In general, a test statistic is a value calculated from the sample data that is used to assess the likelihood of observing the data under the null hypothesis. It is used to make a decision about whether to reject or fail to reject the null hypothesis. The choice of test statistic depends on the specific hypothesis being tested and the nature of the data.

To determine the test statistic in a given hypothesis test, it is necessary to specify the null hypothesis, the alternative hypothesis, and the appropriate statistical test being used. This information is crucial in calculating the test statistic and interpreting its significance. Without these details, it is not possible to provide a specific test statistic in this context.

Learn more about test statistic here:

https://brainly.com/question/31746962

#SPJ11

The complete question is:

A software company is interested in improving customer satisfaction rate from the 75% currently claimed. The company sponsored a survey of 152 customers and found that 120 customers were satisfied. What is the test statistic z?

find the first partial derivatives of the function. f(x,y)=intyx cos(e^t)dt

Answers

Therefore, the first partial derivatives of the function f(x, y) are:

∂/∂x [f(x,y)] = cos(e^x) - y*sin(y)

∂/∂y [f(x,y)] = xcos(x) - ysin(e^y)

To find the partial derivatives of the function f(x, y) = ∫yx cos(e^t) dt with respect to x and y, we can use the Leibniz rule for differentiating under the integral sign.

First, we'll find the partial derivative with respect to x:

∂/∂x [f(x,y)]

= ∂/∂x [∫yx cos(e^t) dt]

= d/dx [∫yx cos(e^t) dt] evaluated at the limits of integration

Using the chain rule of differentiation, we have:

d/dx [∫yx cos(e^t) dt] = d/dx [cos(e^x)*x - cos(y)*y]

Evaluating this derivative gives:

∂/∂x [f(x,y)] = cos(e^x) - y*sin(y)

Now, we'll find the partial derivative with respect to y:

∂/∂y [f(x,y)]

= ∂/∂y [∫yx cos(e^t) dt]

= d/dy [∫yx cos(e^t) dt] evaluated at the limits of integration

Using the Leibniz rule again, we have:

d/dy [∫yx cos(e^t) dt] = d/dy [sin(e^y)*y - sin(x)*x]

Evaluating this derivative gives:

∂/∂y [f(x,y)] = xcos(x) - ysin(e^y)

To learn more about function visit:

brainly.com/question/12431044

#SPJ11

Consider the following hypotheses:
H0: μ ≥ 189
HA: μ < 189
A sample of 74 observations results in a sample mean of 187. The population standard deviation is known to be 15. (You may find it useful to reference the appropriate table: z table or t table)
a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
a-2. Find the p-value.
b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.10?
c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?
d. Interpret the results at α = 0.05.

Answers

a) The test statistic is -2.32. The p-value is 0.0104.

b) Yes, the above sample evidence enable us to reject the null hypothesis at α = 0.10.

c) Yes, the above sample evidence enable us to reject the null hypothesis at α = 0.05.

d) Population mean is less than 189 at a significance level of 0.05.

a-1) The test statistic can be calculated as:

z = (X - μ) / (σ/√n) = (187 - 189) / (15/√74) = -2.32

where X is the sample mean, μ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

a-2. The p-value can be found by looking up the area to the left of the test statistic in the standard normal distribution table. The area to the left of -2.32 is 0.0104. Therefore, the p-value is 0.0104.

b. At α = 0.10, the critical value for a one-tailed test with 73 degrees of freedom is -1.28. Since the test statistic (-2.32) is less than the critical value, we can reject the null hypothesis at α = 0.10.

c. At α = 0.05, the critical value for a one-tailed test with 73 degrees of freedom is -1.66. Since the test statistic (-2.32) is less than the critical value, we can reject the null hypothesis at α = 0.05.

d. At α = 0.05, we have sufficient evidence to reject the null hypothesis that the population mean is greater than or equal to 189 in favor of the alternative hypothesis that the population mean is less than 189. Therefore, we can conclude that the sample provides evidence that the population mean is less than 189 at a significance level of 0.05.

To learn more about test statistic here:

https://brainly.com/question/31746962

#SPJ4

a null hypothesis makes a claim about a ___________. multiple choice population parameter sample statistic sample mean type ii error

Answers

A null hypothesis makes a claim about a population parameter.

So, the correct is A

In statistical hypothesis testing, the null hypothesis is a statement that there is no significant difference between two or more variables or groups. It assumes that any observed difference is due to chance or sampling error.

The alternative hypothesis, on the other hand, is the opposite of the null hypothesis and states that there is a significant difference between the variables or groups being compared.

It is important to test the null hypothesis because it helps to determine whether the observed results are due to chance or a real effect.

Failing to reject a null hypothesis when it is false is known as a type II error, which can have serious consequences in some fields.

Hence the answer of the question is A.

Learn more about null hypothesis at

https://brainly.com/question/30836926

#SPJ11

find two sets a and b such that a∈b and a ⊆b.

Answers

One example of two sets a and b such that a∈b and a ⊆b is a = {1} and b = {{1},2}.

Here, a is an element of b because a = {1} is one of the elements of b, and a is also a subset of b because all the elements of a are also in b. Another example could be a = {2,3} and b = {{1},2,3,4}. In this case, a is an element of b because a = {2,3} is one of the elements of b, and a is also a subset of b because all the elements of a are also in b.

In set theory, an element is a member of a set, while a subset is a set that contains all the elements of another set. The notation a∈b means that a is an element of b, while a⊆b means that a is a subset of b.

These concepts are important in understanding the relationship between different sets and how they relate to each other. By finding examples of sets that satisfy both conditions, we can see how these concepts work in practice.

To know more about subset click on below link:

https://brainly.com/question/31739353#

#SPJ11

I spent 3/4 of this weeks allowance on candy. Of the money she spent on candy, 56 was spent on gummy bears. What fraction of this weeks allowance does ice spend on gummy bears

Answers

The fraction of this week's allowance spent on gummy bears is 56/x. The money spent on candy will be 3/4x. Now, out of the total amount spent on candy, 56 were spent on gummy bears.

Given that,

56 was spent on gummy bears.
I spent 3/4 of this week's allowance on candy.
Let the week's allowance be x
Therefore, money spent on candy = 3/4 of x = (3/4)x
To find:

A fraction of this week's allowance is spent on gummy bears.
Now, we know that 56 was spent on gummy bears.

Therefore, the fraction of this week's allowance spent on gummy bears is 56/x.

To know more about the fraction, visit :

brainly.com/question/10354322

#SPJ11

Under the assumptions of Exercise 11. 20, find the MLE of σ 2

Answers

The maximum likelihood estimate (MLE) of θ is approximately 0.35, based on the given observations. The MLE of σ² is approximately 2.28, assuming X follows a binomial distribution.

To find the maximum likelihood estimate (MLE) of θ, we need to determine the value of θ that maximizes the likelihood function. The likelihood function is the product of the probabilities corresponding to the observed values.

Given the observed values X = (3, 0, 2, 1, 3, 2, 1, 0, 2, 1), we can calculate the likelihood function as follows

L(θ) = P(X = 3) * P(X = 0) * P(X = 2) * P(X = 1) * P(X = 3) * P(X = 2) * P(X = 1) * P(X = 0) * P(X = 2) * P(X = 1)

Substituting the probabilities from the probability mass function, we have

L(θ) = (2θ/3) * (θ/3) * (2(1 − θ)/3) * ((1 − θ)/3) * (2θ/3) * (2(1 − θ)/3) * ((1 − θ)/3) * (θ/3) * (2(1 − θ)/3) * ((1 − θ)/3)

Simplifying the expression, we get

L(θ) = 8θ⁴(1 − θ)⁶

To find the maximum likelihood estimate, we differentiate the likelihood function with respect to θ and set it equal to zero

d/dθ [L(θ)] = 32θ³(1 − θ)⁶ - 48θ⁴(1 − θ)⁵ = 0

Solving this equation is challenging analytically, but we can use numerical methods or software to find the MLE of θ, which turns out to be approximately 0.35.

To find the MLE of σ² (variance), we need to consider the distribution of X. The given probability mass function does not directly provide information about the variance. If we assume that X follows a binomial distribution, we can use the MLE of the binomial variance:

MLE of σ² = nθ(1 − θ)

where n is the number of observations. In this case, n = 10. Substituting the MLE of θ (0.35), we can calculate the MLE of σ² as

MLE of σ² = 10 * 0.35 * (1 − 0.35)

MLE of σ² = 3.5 * 0.65

MLE of σ² ≈ 2.28

Therefore, the MLE of θ is approximately 0.35, and the MLE of σ² is approximately 2.28.

To know more about maximum likelihood estimate:

https://brainly.com/question/31962065

#SPJ4

--The given question is incomplete, the complete question is given below " Suppose that X is a discrete random variable with the following probability

mass function: where 0 ≤ θ ≤ 1 is a parameter. The following 10 independent observations

X 0 1 2 3

P(X) 2θ/3 θ/3 2(1 − θ)/3 (1 − θ)/3

were taken from such a distribution: (3,0,2,1,3,2,1,0,2,1). What is the maximum likelihood

estimate of θ.  find the MLE of σ 2"--

Express the limit as a definite integral. [Hint: Consider
f(x) = x8.]
lim n→[infinity]
n 3i8
n9
sum.gif
i = 1

Answers

The given limit can be expressed as the definite integral:

∫[0 to 1] 3x^8 dx

To express the limit as a definite integral, we can use the definition of a Riemann sum. Let's consider the function f(x) = x^8.

The given limit can be rewritten as:

lim(n→∞) Σ[i=1 to n] (3i^8 / n^9)

Now, let's express this limit as a definite integral. We can approximate the sum using equal subintervals of width Δx = 1/n. The value of i can be replaced with x = iΔx = i/n. The summation then becomes:

lim(n→∞) Σ[i=1 to n] (3(i/n)^8 / n^9)

This can be further simplified as:

lim(n→∞) (1/n) Σ[i=1 to n] (3(i/n)^8 / n)

Taking the limit as n approaches infinity, the sum can be written as:

lim(n→∞) (1/n) ∑[i=1 to n] (3(i/n)^8 / n) ≈ ∫[0 to 1] 3x^8 dx

Know more about integral here;

https://brainly.com/question/18125359

#SPJ11

the basketball concession stand sold 327 drinks in two games. which proportion could be used to make the best estimate for the number of drinks that will be sold for 10 games?

Answers

The number of drinks that will be sold for 10 games is 1635 drinks.

The basketball concession stand sold 327 drinks in two games

2 games = 327 drinks

using unitary method

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

1 game = 327/2

1 game = 163.5 drinks

Number of drinks that will be sold for 10 games

10 games = 10 × 1 game

10 games = 10 ×  163.5

10 games = 1635 drinks

To know more about number click here :

https://brainly.com/question/23423168

#SPJ4

Please help this is 400 points of my grade.

Answers

The graph of g = h(x + 1) + 3 is: A. graph A.

What is a translation?

In Mathematics, the translation a geometric figure or graph to the left means subtracting a digit to the value on the x-coordinate of the pre-image;

g(x) = f(x + N)

In Mathematics and Geometry, the translation a geometric figure upward means adding a digit to the value on the positive y-coordinate (y-axis) of the pre-image;

g(x) = f(x) + N

Since the parent function f(x) was translated 3 units upward and 1 unit left, we have the following transformed function;

h(x) = |x - 4| - 4

g = h(x + 1) + 3

g = |x - 4 + 1| - 4 + 3

g = |x - 3| - 1

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

he function f has a continuous derivative. if f(0)=1, f(2)=5, and ∫20f(x)ⅆx=7, what is ∫20x⋅f′(x)ⅆx ? 3

Answers

Therefore, ∫2^0 x·f'(x) dx = 0.

Using the integration by parts formula ∫u dv = uv - ∫v du, we have

∫2^0 x·f'(x) dx = [-x·f(x)]_0^2 + ∫0^2 f(x) dx

Since f(0) = 1 and f(2) = 5, we can apply the mean value theorem for integrals to get a value c in (0,2) such that

∫0^2 f(x) dx = f(c)·(2-0) = 2f(c)

Also, we know that ∫2^0 f(x) dx = -∫0^2 f(x) dx = -2f(c).

Thus, we have

∫2^0 x·f'(x) dx = [-x·f(x)]_0^2 + ∫0^2 f(x) dx

= -2f(c) + 2f(c)

= 0

Therefore, ∫2^0 x·f'(x) dx = 0.

Learn more about  integration here:

https://brainly.com/question/31744185

#SPJ11

A biologist has been observing a tree's height 10 months into the observation, the tree


was 19. 3 feet tall. 19 months into the observation, the tree was 21. 28 feet tall.


Let x be the number of months passed since the observations started, and let y be the


tree's height at that time. Use a linear equation to model the tree's height as the number of


of months pass.


a. This line's slope-intercept equation is____


b. 26 months after the observations started, the tree would be____feet in


height


C.


____months after the observation started the tree would be 29. 42 feet tall.

Answers

a. Line's slope-intercept equation is y = 0.22x + 17.1.

b. 26 months after the observations started, the tree would be approximately 22.82 feet in height.

c. Approximately 56 months after the observation started, the tree would be 29.42 feet tall.

To find the equation of a linear line, we can use the slope-intercept form, which is given by:

y = mx + b

where "m" is the slope of the line, and "b" is the y-intercept.

Let's calculate the slope first using the given data points:

Given data point 1: (x1, y1) = (10, 19.3)

Given data point 2: (x2, y2) = (19, 21.28)

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

m = (21.28 - 19.3) / (19 - 10)

m = 1.98 / 9

m = 0.22

Now that we have the slope (m), we can substitute it back into the slope-intercept form to find the y-intercept (b). Let's use one of the given data points:

Using point (x1, y1) = (10, 19.3):

19.3 = 0.22 × 10 + b

19.3 = 2.2 + b

b = 19.3 - 2.2

b = 17.1

Therefore, the equation of the line representing the tree's height as the number of months pass is:

y = 0.22x + 17.1

a. The line's slope-intercept equation is y = 0.22x + 17.1.

b. To find the height of the tree 26 months after the observations started, we substitute x = 26 into the equation:

y = 0.22 ×26 + 17.1

y = 5.72 + 17.1

y = 22.82

Therefore, 26 months after the observations started, the tree would be approximately 22.82 feet in height.

c. To find the number of months after the observation started when the tree would be 29.42 feet tall, we substitute y = 29.42 into the equation:

29.42 = 0.22x + 17.1

0.22x = 29.42 - 17.1

0.22x = 12.32

x = 12.32 / 0.22

x ≈ 56

Therefore, approximately 56 months after the observation started, the tree would be 29.42 feet tall.

Learn more about slope-intercept here:

https://brainly.com/question/30216543

#SPJ11

find an equation for the plane passing through the points (0, 2, 1), (1, 1, 5), and (2, 0, 11).

Answers

The equation of the plane passing through the points (0, 2, 1), (1, 1, 5), and (2, 0, 11) is 12x - 6y - 10z = 0.

To find the equation of the plane passing through three given points,  the point-normal form of the equation. This form uses a point on the plane and the normal vector perpendicular to the plane.

Step 1: Find two vectors on the plane by subtracting the coordinates of one point from the other two points.

Vector 1 = (1, 1, 5) - (0, 2, 1) = (1, -1, 4)

Vector 2 = (2, 0, 11) - (0, 2, 1) = (2, -2, 10)

Step 2: Calculate the cross product of the two vectors to obtain the normal vector to the plane.

Normal vector = Vector 1 × Vector 2

Using the determinant method:

i j k

1 -1 4

2 -2 10

= (1 × 10 - (-1) × (-2))i - (1 × 10 - 4 × (-2))j + (-1 × (-2) - 4 × 2)k

= 12i - 6j - 10k

Therefore, the normal vector is (12, -6, -10).

Step 3: Choose one of the given points as the reference point on the plane. Let's choose (0, 2, 1) as the reference point.

Step 4: Substitute the values into the point-normal form of the equation:

(x - x₁)(A) + (y - y₁)(B) + (z - z₁)(C) = 0

Where (x₁, y₁, z₁) is the reference point, and (A, B, C) are the components of the normal vector.

Substituting the values,

(x - 0)(12) + (y - 2)(-6) + (z - 1)(-10) = 0

Simplifying the equation:

12x - 6y - 10z + 12 - 12 = 0

12x - 6y - 10z = 0.

To know more about  equation here

https://brainly.com/question/30336283

#SPJ4

A Martian standing on top of a boulder has tossed a rock vertically upward. The quadratic function below models the height of the rock, h(t), in feet, t seconds after it was thrown. h(t)=-6t² + 18t+48 How long will it take for the rock to hit the surface of Mars? (Round your answer to the nearest tenth.)

Answers

It will take approximately 3.6 seconds for the rock to hit the surface of Mars.

The quadratic function h(t) = -6t² + 18t + 48 models the height of the rock in feet, t seconds after it was thrown.

The rock hits the surface of Mars, we need to find the value of t for which h(t) = 0.

-6t² + 18t + 48 = 0

Dividing both sides by -6, we get:

t² - 3t - 8 = 0

We can solve this quadratic equation using the quadratic formula:

t = [-(-3) ± √((-3)² - 4(1)(-8))] / 2(1)

Simplifying:

t = [3 ± √(9 + 32)] / 2

t = [3 ± √41] / 2

The negative solution because time cannot be negative.

The time it takes for the rock to hit the surface of Mars is:

t = [3 + √41] / 2 ≈ 3.6 seconds

For similar questions on surface of Mars

https://brainly.com/question/29754073

#SPJ11

The rock will hit the surface of Mars approximately 1.8 seconds after being thrown.

To find the time it takes for the rock to hit the surface of Mars, we need to determine when the height of the rock, h(t), equals zero. By setting h(t) = 0 in the quadratic function -6t² + 18t + 48, we can solve for t.

Using the quadratic formula, t = (-b ± √(b² - 4ac)) / (2a), where a = -6, b = 18, and c = 48, we substitute these values into the formula:

t = (-18 ± √(18² - 4(-6)(48))) / (2(-6))

Simplifying the equation further:

t = (-18 ± √(324 + 1152)) / (-12)

t = (-18 ± √(1476)) / (-12)

t = (-18 ± 38.39) / (-12)

Evaluating both options:

t1 = (-18 + 38.39) / (-12) ≈ 1.8

t2 = (-18 - 38.39) / (-12) ≈ -3.9

Since time cannot be negative in this context, we discard t2 = -3.9.

To learn more about quadratic function click here

brainly.com/question/29775037

#SPJ11

Restaurants often slip takeout menus under Britney's apartment door. Britney counted how many menus there were from each type of restaurant.
Chinese 2
Japanese 9
Mediterranean 1
Thai 2
Italian 6
What is the experimental probability that the next menu slipped under Britney's door will be from a Chinese restaurant?
Write your answer as a fraction or whole number.
P(Chinese)=

Answers

The experimental probability of the next menu being from a Chinese restaurant is 1/10.

To find the experimental probability, we need to calculate the ratio of the number of menus from Chinese restaurants to the total number of menus.

In this case, the number of menus from Chinese restaurants is 2, and the total number of menus is the sum of all the types of menus:

Total number of menus = 2 + 9 + 1 + 2 + 6 = 20

Therefore, the experimental probability of the next menu being from a Chinese restaurant is:

P(Chinese) = Number of menus from Chinese restaurants / Total number of menus

= 2 / 20

= 1/10

So, the experimental probability is 1/10.

For more such questions on probability , Visit:

https://brainly.com/question/24756209

#SPJ11

Answer:

1/10

Step-by-step explanation:

i have no explanation

what is the one sided p value for zstat 1.72

Answers

The one-sided p value for a z-statistic of 1.72 is approximately 0.0427.

To calculate the one-sided p value for a z-statistic of 1.72:

Step 1: Identify the z-statistic (zstat) given in the question, which is 1.72.

Step 2: Look up the z-statistic in a standard normal (z) table or use an online calculator to find the area to the left of the z-statistic. For a z-statistic of 1.72, the area to the left is approximately 0.9573.

Step 3: Since we want the one-sided p-value, and our z-statistic is positive, we'll calculate the area to the right of the z-statistic. To do this, subtract the area to the left from 1:

P-value (one-sided) = 1 - 0.9573 = 0.0427

The one-sided p-value for a z-statistic of 1.72 is approximately 0.0427.


Learn more about p value here:

https://brainly.com/question/28108646


#SPJ11

Vicky had to find 75% of 64. Vicky added 12 + 12 +12 and 6 because 75% is between 60% and 80%. And wrote that her final answer was 42. Is she correct?

Answers

To find 75% of 64, she needs to multiply 64 by 0.75. Vicky added 12+12+12 and 6, which is incorrect. This answer is not equal to the correct answer.

The term "75 percent" means 75 out of 100, which is equal to 0.75 as a decimal.

Multiply the number by the decimal to obtain 75% of the number.

As a result, to find 75 percent of 64, we must multiply 64 by 0.75.64 * 0.75 = 48

Therefore, 75 percent of 64 is 48.

Therefore, Vicky's answer of 42 is incorrect.

To know more about percentage visit :-

https://brainly.com/question/24877689

#SPJ11

Other Questions
LATE WORK DUESo, I need to find if these statements are true or false. thanks!1. Blacks enjoyed a more unsegregated life in the 1870s and 1880s.2. One leading factor to Jim Crow Laws came when the Populist Party attempted to seek help for the poor white and black farmers, but the Republican Party turned the attempts into a political agenda suggesting concern for blacks becoming too powerful.3. Atlanta did not experience Jim Crow Laws because both blacks and whites could profit from the industrialized city.4. Booker T. Washingtons speech & the Plessy vs Ferguson decision condemned Jim Crow Laws.5. In an attempt to maintain white supremacy, Georgia resorted to lynching (killing 458 victims).6. Blacks would experience separate schools, churches, transportation, parks, and more that were rarely, if ever, equal. What is the Texas incident about rtn? HELP this is probably easy but I dont wanna get it wrong (show work please) question:camouflaged army vehicle goes missingWhat time of figurative language is this and why? Which excerpt from the passage "Equal Justice Under Law" most effectively illustrates Thurgood Marshall's natural tendency to resist authority?(A) "If he wasnt throwing chalk or teasing girls, he was arguing with teachers."(B) "So, one day, the principal sent him to the basement with a copy of the United States Constitution and stern orders not to come back up till he had memorized a passage."(C) "'Before I left that school, Marshall said many years later, 'I knew the whole thing by heart.'"(D) "Parts of the Constitution, however, confused the young Marshall." Fill in the blank in the following sentence with the appropriate verb below: Los estudiantes no ____ las instrucciones A. construyeron B. influyeron C. omos D. oyeron HELP!!! ILL GIVE BRAINLEST!! The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost? Is this the correct formula for magnesium acetate? Mg(C2H3O)2 (a) Explain the quantity theory and(b) how does the theory explains the cause of inflation A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate Elaborar un resumen de lo que acostumbramoas a comer en las fiestas familiares y celebraiones comunitarias del pas Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).Slope, m =-y-intercept, b =77 What year was this quote made. the measure of one angle of a triangle is 105 what do you know about the measure of the other two angles? Here is the problem specification: An Internet service provider has three different subscription packages for its customers: Package A: For $9.95 per month 10 hours of access are provided. Additional hours are $2.00 per hour. Package B: For $14.95 per month 20 hours of access are provided. Additional hours are $1.00 per hour. Package C: For $19.95 per month unlimited access is provided. Write a program that calculates a customer's monthly bill. It should ask which package the customer has purchased and how many hours were used. It should then display the total amount due. Input Validation: Be sure the user only selects package A, B or C. Also, the number of hours used in a month cannot exceed 744. Use switch. Stupendous Productions, Inc. again this year want to put on its Rock-and-Roll Revival, a two-week fesitval with some of the greatest acts in the music industry, on your land. You are not sure you want to allow Stupendous Productions, Inc. to put on the festival. Stupendous is threatening legal action. What should Stupendous ask the Court to find?A. A prescriptive easementB. An implied license base upon prior useC. Breach of contractD. None of the above Even after the Civil War ended, fighting raged on in Texas because -- Find the length of the third side.if necessary, round to the nearest tenth 24 18 A- B-C-