An instructor is administering a final examination. She tells her class that she with give an A grade to the 10% of the students who earns the highest marks. Past experience with the same examination has yielded grades that are normally distributed with a mean of 70 and a standard deviation of 10. If present class runs true to form, what numerical score would a student need to earn an A grade?

Answers

Answer 1

To earn an A grade, a student needs to score at least 82.8 , calculated using the inverse normal cumulative distribution function with a mean of 70, a standard deviation of 10, and a 10th percentile of 0.10.

Given that the grades are normally distributed with a mean of 70 and a standard deviation of 10.

We need to find the score which is at the 10th percentile of the distribution.

Using the standard normal distribution table, we can find the z-score that corresponds to the 10th percentile.

From the table, we can see that the z-score is approximately -1.28.

Using the formula for standardizing a normal distribution:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values, we have:

-1.28 = (x - 70) / 10

Solving for x, we get:

x = (-1.28 * 10) + 70

x = 82.8

Therefore, a student would need to earn a score of approximately 82.8 to receive an A grade.

To know more about standard deviation:

https://brainly.com/question/23907081

#SPJ4


Related Questions

A bucket contains three slips of paper. One of the following colors is written on each slip of paper: Red, Blue, and Yellow.


List 1 List 2 List 3 List 4
Red Red, Blue Red, Red Red, Red, Red
Blue Red, Yellow Red, Blue Red, Blue, Yellow
Yellow Blue, Red Red, Yellow Red, Yellow, Blue
Red Blue, Yellow Blue, Blue Blue, Blue, Blue
Blue Yellow, Red Blue, Red Blue, Red, Yellow
Yellow Yellow, Blue Blue, Yellow Blue, Yellow, Red
Red Red Yellow, Yellow Yellow, Yellow, Yellow
Blue Blue Yellow, Red Yellow, Red, Blue
Yellow Yellow Yellow, Blue Yellow, Blue, Red


Which list gives the sample space for pulling two slips of paper out of the bucket with replacement?
List 1
List 2
List 3
List 4

Answers

The list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

According to the given information:

The sample space for pulling two slips of paper out of the bucket with replacement means that after drawing the first slip of paper, it is returned to the bucket before drawing the second slip. This means that each draw is independent of the previous draw, and the possible outcomes of each draw remain the same for all subsequent draws.

The possible outcomes for each draw are {Red, Blue, Yellow}, and there are three possible outcomes for each draw.

Since we are drawing with replacement, each draw has the same possible outcomes and the same number of outcomes. So, the total number of possible outcomes for two draws is simply the number of outcomes for a single draw raised to the power of 2:

[tex]3^2 = 9[/tex]

Therefore, the list that gives the sample space for pulling two slips of paper out of the bucket with replacement is List 4.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ1

Prove that the diagonals of rectangle are equal vectorically in easy way​

Answers

Answer: Imagine a rectangle with its centre (point of intersection of diagonals) situated at the origin of the XY plane and it's each of the sides being aligned with the co-ordinate axis.

2(x-6)²

could you please explain this to me, thanks!

Answers

Answer:

expand the square

2(x-6) (x-6)

2(x(x-6)-6(x-6)

2(x²-6x-6(x-6)

2(x²-6x-6x+36)

2(x²-12x+36)

2x²-24x+72

Step-by-step explanation:

hope this helps

x P(x)
0 0.1
1 0.05
2 0.1
3 0.75


Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

Answers

Answer: To find the standard deviation of a probability distribution, we need to first calculate the mean or expected value of the distribution, which is given by:

E(X) = Σ [xi * P(xi)]

where xi is the ith outcome and P(xi) is its probability.

So, for the given distribution:

E(X) = (0 * 0.1) + (1 * 0.05) + (2 * 0.1) + (3 * 0.75) = 2.4

Next, we need to calculate the variance of the distribution, which is given by:

Var(X) = Σ [(xi - E(X))^2 * P(xi)]

So, for the given distribution:

Var(X) = (0 - 2.4)^2 * 0.1 + (1 - 2.4)^2 * 0.05 + (2 - 2.4)^2 * 0.1 + (3 - 2.4)^2 * 0.75 = 0.69

Finally, the standard deviation of the distribution is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(0.69) ≈ 0.83

Therefore, the standard deviation of this probability distribution is approximately 0.83, rounded to 2 decimal places.

Step-by-step explanation:

Se depositan $ 8.000 en un banco que reconoce una tasa de interés del 36% anual, capitalizable mensualmente. ¿Cuál será el monto acumulado en cuatro años?

Answers

Answer:

Se depositan $ 8.000 en un banco que reconoce una tasa de interés del 36% anual, capitalizable mensualmente. ¿Cuál será el monto acumulado en cuatro años?

Step-by-step explanation:

Para resolver este problema, podemos utilizar la fórmula del interés compuesto:

A = P*(1 + r/n)^(n*t)

Donde:

A: el monto acumulado después de t años

P: el capital inicial

r: la tasa de interés anual

n: el número de veces que se capitaliza el interés por año

t: el tiempo en años

En este caso, tenemos:

P = $8.000

r = 36% = 0.36

n = 12 (ya que la tasa de interés se capitaliza mensualmente)

t = 4 años

Sustituyendo estos valores en la fórmula, obtenemos:

A = $8.000*(1 + 0.36/12)^(124)

A = $8.000(1 + 0.03)^48

A = $8.000*(1.03)^48

A = $16.751,83

Por lo tanto, el monto acumulado en cuatro años será de $16.751,83.

Find the value of X using the picture below.

Answers

Answer:

x = 7

Step-by-step explanation:

The two angles are equal so the opposite sides are equal.

5x-2 =33

Add two to each side.

5x-2+2 = 33+2

5x=35

Divide by 5

5x/5 =35/5

x = 7

The Millers have hired an interior designer to decorate their family room. They want to have a 29" by 29" oil painting framed and incorporated in the design plan. If the designer chooses molding that is 4" wide and is priced at $3.65 per inch, how much will the molding cost (before tax)?

Answers

Answer: I really don't know i'm just trying to get a quest done sorry

Students at a virtual school are allowed to sign up for one math class each year. The numbers of students signing up for various math classes for the next school year are given in the following table:
Grade Geometry Algebra I Pre-Calculus AP Statistics Total
A student calculated the joint relative trequency of 10th grade students in geometry as being 71.4%. What did the student actually calculate and what is the correct answer?
A) The student calculated the conditional relative frequency for students who are in 10th grade, given that they are enrolled in Geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 20.7%.
B) The student calculated the conditional relative frequenc for students who are in 10th grade, given that they are enrolled in Geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 29%.
C) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative trequency of 10th grade students in geometry is 20.7%.
D) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 29%

Answers

Option C) The student calculated the marginal relative frequency for 10th grade students in geometry. The correct value of the joint relative frequency of 10th grade students in geometry is 20.7%.

How to calculate a relative frequency?

Relative frequency is a measure of the proportion or percentage of times an event occurs in a given sample. It is calculated by dividing the frequency of an event by the total number of events in the sample. The formula for relative frequency is given as follows:

Relative frequency = Frequency of an event / Total number of events in the sample

For the joint relative frequency of 10th grade students in geometry, the parameters are given as follows:

Frequency of 10th grade students in geometry: 20.7%.Total number of events in the sample: 100% of students.

Hence the joint relative frequency is obtained as follows:

20.7/100 x 100%= 20.7%.

Hence option C is correct.

More can be learned about relative frequency at https://brainly.com/question/1809498

#SPJ1

Increase £16470.45 by 3.5%
Give your answer rounded to 2 DP

Answers

Step-by-step explanation:

"increase" means to take the original 100% and put an additional 3.5% of these 100% on top of it.

so, we have to calculate

100% + 3.5% of £16470.45

100% of £16470.45 = £16470.45 × 100/100

3.5% of £16470.45 = £16470.45 × 3.5/100

the sum is therefore

£16470.45 × (100/100 + 3.5/100) =

= £16470.45 × (1 + 0.035) = £16470.45 × 1.035 =

= £17,046.91575 ≈ £17,046.92

Zaheer had a set of marbles, he used 2/3 to make a design and he had 14 left. How many did he used to make the design?

Answers

Answer: 42

Step-by-step explanation:

1. 1/3=14

2. 14x3=42

Conduct a survey with a minimum of 20 people. Complete the designed questionnaire in 1.2. Remind participants why you are doing survey and that their information will be kept confidential. Submit 20 original completed questionnaires.

Answers

Some of the tips which is used to conduct a survey are:

Determine the purpose of the survey and define the population of interest.Design the questionnaire and ensure that the questions are clear and concise.Select a sample from the population and distribute the questionnaire to the participants.Remind participants why you are conducting the survey and assure them that their responses will be kept confidential.

What is the need to conduct a survey (questionnaire)?

Conducting a survey is an important tool for gathering information from a large and diverse group of people. Its allows allow researchers to obtain data from a representative sample of the population, which can then be used to make informed decisions, identify trends, and measure changes over time.

Also important, its can provide insight into people's attitudes, beliefs, and behaviors, which can be valuable in developing marketing strategies, designing programs and policies, and making important decisions.

Read more about survey

brainly.com/question/14610641

#SPJ1

Colin buys gas for her car at $4 a gallon. Write an equation using two variables to show the relationship between the number of gallons of gas, g, and the total amount of amount she spends, s.

Answers

Answer:

s = 4g    ..........................................................                      

Answer: s = 4g

$4 is spent per gallon, so 4 must be multiplied with g and s does not change as it’s the amount she’s going to spend

So the answer is s = 4g

A parent donated 36 fruit cups and 24 bananas to fifth grade. The teacher wanted to make field trip snack bags with the donated food and wondered about the ways snacks could be packed. To be fair the teacher wants to make sure that all bags are exactly the same.

A) What is the greatest number of snack bags that the teacher can make, if each bag is identical? How do you know ?

B) What other numbers of snack bags could she make? How do you know?

2) Another parent also donated 24 bananas, so there are 48 bananas total. Now what is the greatest number of snack bags can that can be made?

3) The teacher realized that she miscounted and had only 30 fruit cups. How many snack bags can she make with 48 bananas and fruit cups?

4) What do the different numbers of snack bags that can be made have to do with the number of fruit cups and number of bananas?

Answers

A) To find the greatest number of snack bags the teacher can make, we need to determine the greatest common factor of 36 and 24. The prime factorization of 36 is 2^2 x 3^2, and the prime factorization of 24 is 2^3 x 3. The greatest common factor is 2^2 x 3, which is 12. Therefore, the teacher can make 12 identical snack bags.

B) Other numbers of snack bags that could be made would be factors of 12, such as 1, 2, 3, 4, or 6. This is because the teacher can only make an integer number of identical bags using the given number of fruit cups and bananas.

With 48 bananas and 36 fruit cups, the greatest common factor is 12, as shown in part A. Therefore, the teacher can make 12 identical snack bags with 48 bananas and 36 fruit cups.
With only 30 fruit cups, the greatest common factor between 30 and 48 is 6. Therefore, the teacher can make 6 identical snack bags with 30 fruit cups and 48 bananas.
The different numbers of snack bags that can be made are related to the greatest common factor between the number of fruit cups and bananas. The greatest common factor determines how many identical bags the teacher can make, as each bag must have the same number of fruit cups and bananas. If the greatest common factor is 1, then the teacher can only make one bag with all the fruit cups and bananas. If the greatest common factor is larger, then the teacher can make multiple bags with an equal number of fruit cups and bananas.

Find dz/dt in two ways: by using the Chain Rule, and by first substituting the expressions for x and y to write z as a function of t. Do your answers agree?z= x^2y+xy^2, x = 3t y = t^2

Answers

The derivative of the function z= x^2y+xy^2, x = 3t y = t^2 using the chain rule is given by dz/dt = 36t^3 + 15t^4.

Expressions are equals to,

z= x^2y+xy^2

x = 3t

y = t^2

Using the chain rule calculate dz/dt,

which states that if z is a function of x and y,

And x and y are both functions of t, then,

dz/dt = (dz/dx)(dx/dt) + (dz/dy)(dy/dt)

Using these expressions, calculate the value of dz/dt using the chain rule,

z= x^2y+xy^2

This implies,

dz/dx = 2xy + y^2

dz/dy = x^2 + 2xy

x = 3t

⇒ dx/dt = 3

y = t^2

⇒ dy/dt = 2t

Substituting these values into the chain rule formula, we get,

dz/dt = (2xy + y^2)(3) + (x^2 + 2xy)(2t)

        = [2(3t)(t^2 ) + (t^2)^2 ]3 + [(3t)^2 + 2(3t)(t^2)](2t )

        = [ 6t^3 + t^4 ]3 + [ 9t^2 + 6t^3 ]2t

        = 18t^3 + 3t^4 + 18t^3 + 12t^4

        = 36t^3 + 15t^4

Substituting the given expressions for x and y into z, we get,

z = (3t)^2(t^2) + (3t)(t^2)^2

   = 9t^4 + 3t^5

here also,

dz/dt = 36t^3 + 15t^4

Therefore, the value of the function using the chain rule dz/dt is equals to  36t^3 + 15t^4.

learn more about chain rule here

brainly.com/question/24391730

#SPJ4

Change the following equation of a line into slope-intercept form.
y + 4 = 2x

Answers

Answer:

Step-by-step explanation:

[tex]y=2x-4[/tex]    (slope-intercept form is [tex]y=mx+b[/tex] where m=gradient

                     and b is where line intercepts y-axis)

What was your recommended intake of carbohydrates (grams), and how far were you from it? Show the mathActual Intake Recommended Intake Percentage159.00 115-166 100%

Answers

The actual intake of carbohydrates is 138% as compare to recommended intake.

Recommended intake of carbohydrates or any other nutrient are,

Based on the information provided,

Consumed 159 grams of carbohydrates,

Recommended intake is between 115 and 166 grams.

Calculate the percentage of actual intake compared to the recommended intake, use the following formula,

Percentage = (Actual Intake / Recommended Intake) x 100%

Substituting the values in the formula we have,

⇒Percentage = (159 / 115) x 100%

⇒Percentage ≈ 138.3%

Therefore,  the actual intake of carbohydrates is about 138% of the recommended intake, indicating that consumption of more carbohydrates than recommended.

learn more about carbohydrates here

brainly.com/question/10052351

#SPJ4

Evaluate the logarithmic expression without using a calculator. Answer exactly. log 2 ( 1/16 ) + 4 =

Answers

[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4[/tex]

Suppose Set A contains 98 elements and Set B contains 93 elements. If Sets A and B have 35 elements in common, what is the total number of elements in either Set A or Set B.

Answers

The total number of elements in either Set A or Set B is 156.

How are sets and subsets different from one another?

A set is a collection of unique items, but a subset is a set that contains only components that belong to another set, termed the superset. In other words, set A is a subset of set B if all of its items are also found in set B.

Given that, Set A contains 98 elements and Set B contains 93 elements.

Total number of elements in either Set A or Set B = number of elements in Set A + number of elements in Set B - number of common elements

Total number of elements in either Set A or Set B = 98 + 93 - 35

Total number of elements in either Set A or Set B = 156

Hence, the total number of elements in either Set A or Set B is 156.

Learn more about subset here:

https://brainly.com/question/23454979

#SPJ1

A cube of sugar is 2cm wide. Calculate the number of cube in a box 720cm³​

Answers

Answer:

V=lwh

=2×2×2=8

720÷8=90

90 cubes

I will mark you brainiest!

A concave polygon can never be classified as a regular polygon.

A) True
B) False

Answers

Answer:

False.

Step-by-step explanation:

A concave polygon can never be a regular polygon as it can never be equiangular. Each side of a regular polygon must be the same length, and all interior angles must also be equal.

Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help

Answers

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

Define PEMDAS?

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

To know more about PEMDAS, visit:

https://brainly.com/question/345677

#SPJ1

Parts A-D. What is the value of the sample mean as a percent? What is its interpretation? Compute the sample variance and sample standard deviation as a percent as measures of rotelle for the quarterly return for this stock.

Answers

The sample mean is 2.1, the sample variance is 212.5% and the standard deviation is 14.57%

What is the sample mean?

a. The sample mean can be computed as the average of the quarterly percent total returns:

[tex](11.2 - 20.5 + 13.2 + 12.6 + 9.5 - 5.8 - 17.7 + 14.3) / 8 = 2.1[/tex]

So the sample mean is 2.1%, which can be interpreted as the average quarterly percent total return for the stock over the sample period.

b. The sample variance can be computed using the formula:

[tex]s^2 = sum((x - mean)^2) / (n - 1)[/tex]

where x is each quarterly percent total return, mean is the sample mean, and n is the sample size. Plugging in the values, we get:

[tex]s^2 = (11.2 - 2.1)^2 + (-20.5 - 2.1)^2 + (13.2 - 2.1)^2 + (12.6 - 2.1)^2 + (9.5 - 2.1)^2 + (-5.8 - 2.1)^2 + (-17.7 - 2.1)^2 + (14.3 - 2.1)^2 / (8 - 1) = 212.15[/tex]

So the sample variance is 212.15%. The sample standard deviation can be computed as the square root of the sample variance:

[tex]s = \sqrt(s^2) = \sqrt(212.15) = 14.57[/tex]

So the sample standard deviation is 14.57%.

c. To construct a 95% confidence interval for the population variance, we can use the chi-square distribution with degrees of freedom n - 1 = 7. The upper and lower bounds of the confidence interval can be found using the chi-square distribution table or calculator, as follows:

upper bound = (n - 1) * s^2 / chi-square(0.025, n - 1) = 306.05

lower bound = (n - 1) * s^2 / chi-square(0.975, n - 1) = 91.91

So the 95% confidence interval for the population variance is (91.91, 306.05).

d. To construct a 95% confidence interval for the standard deviation (as percent), we can use the formula:

lower bound = s * √((n - 1) / chi-square(0.975, n - 1))

upper bound = s * √((n - 1) / chi-square(0.025, n - 1))

Plugging in the values, we get:

lower bound = 6.4685%

upper bound = 20.1422%

So the 95% confidence interval for the standard deviation (as percent) is (6.4685%, 20.1422%).

Learn more on sample mean here;

https://brainly.com/question/26941429

#SPJ1

true/false. when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests.

Answers

The given statement " when the population variance is not known (i.e., must be estimated from data), we use a z-statistic instead of a t-statistic for our hypothesis tests. " is false. Because in distribution of sample means, population variance is unknown.

When the population variance is not known and must be estimated from the data, we use a t-statistic instead of a z-statistic for our hypothesis tests.

This is because the distribution of the sample means follows a t-distribution when the population variance is unknown, whereas it follows a standard normal distribution (z-distribution) when the population variance is known.

The t-distribution has fatter tails than the z-distribution to account for the extra uncertainty introduced by estimating the population variance from the sample.

To know more about hypothesis tests:

https://brainly.com/question/30588452

#SPJ4

PLEASE HELP ME YOU WILL BE MARKED BRAINLIEST!!!1

Answers

The experimental probability of winning the contest based on the data of all 3 games is 0.432.

What is experimental probability ?

Experimental probability is a measure of the likelihood of an event occurring based on the results of an experiment or observation. It is determined by dividing the number of times the event occurred by the total number of trials or observations. The more trials or observations conducted, the more accurate the experimental probability will be. Experimental probability is often used in situations where the probability of an event cannot be determined theoretically or where the theoretical probability is difficult to calculate. It is also commonly used in scientific experiments, market research, and other fields where the results of an experiment or observation can be used to make predictions or inform decisions.

Finding the experimental probability of winning the contest :

In this case, the event is winning the contest by choosing a marble from a bag, and the trials are the three games played by Hal.

Total number of players in all three games = 123 + 155 + 172 = 450

Total number of winners in all three games = 52 + 63 + 65 = 180

Experimental probability of winning the contest = Number of winners / Total number of players = 180/450 = 0.432

Therefore, the experimental probability of winning the contest based on the data of all 3 games is 0.432.

To know more about experimental probability visit :

brainly.com/question/30694293

#SPJ1

Bhujangrao invested Rs. 2,50,590 in shares of F.V. Rs. 10 when M.V. is Rs. 250. [Nov 2020]
Rate of brokerage is 0.2% and GST is 18%, then find:
a. the number of shares purchased,
b. the amount of brokerage paid, and
c. GST paid for the trading

Answers

a. The number of shares purchased can be calculated as:

Number of Shares = (Investment Amount / Face Value)

= 25,059/ 10 = 2,505.9 = 2,506 (to the nearest whole number)

b. The amount of brokerage paid can be calculated as:

Brokerage = (Investment Amount x Brokerage Rate)

= 2,50,590 x 0.002 = Rs. 501.18

c. The GST paid for the trading can be calculated as:

GST = (Brokerage Amount x GST Rate)

= 501.18 x 0.18 = Rs. 90.22

Use implicit differentiation to find an equation of the tangent line to the curve sin(x+y)=8x−8y at the point (π,π)

Answers

The equation of the tangent line to the curve sin( x y) = 8x- 8y on the factor( π, π) is y = (7/9) x-( 2π/ 9).

To discover the equation of the tangent line to the curve sin( x y) = 8x- 8y on the point( π, π), we want to apply implicit differentiation to discover the pitch of the tangent line at that point.

We begin through differencing both sides of the equation with reference to xcos( x y)( 1 dy/ dx) = eight- 8dy/ dx

After, we can simplify the expression by isolating the terms beholding dy/ dx on one aspect

cos( x y) cos( x y) dy/ dx = 8- 8dy/ dx

8 cos( x y)) dy/ dx = 8- cos( x y)

dy/ dx = ( 8- cos( x y))( 8 cos( x y))

Now we're suitable to discover the pitch of the tangent line at the factor( π, π) by plugging in x = π and y = π into the expression we simply derived

dy/ dx = ( 8- cos( 2π))( 8 cos( 2π))

dy/ dx = ( 8- 1)/( 8 1)

dy/ dx = 7/ nine

Thus, the pitch of the tangent line to the curve sin( x y) = 8x- 8y at the factor( π, π) is7/9.

To find the equation of the tangent line, we can use the point- slope form of the equation

y- y1 = m( x- x1)

In which m is the pitch we simply set up, and( x1, y1) is the point( π, π). Plugging in the values, we get

y- π = ( 7/ nine)( x- π)

Simplifying, we get

y = ( 7/ nine) x-( 2π/ nine)

Thus, the equation of the tangent line to the curve sin( x y) = 8x- 8y on the factor( π, π) is y = (7/9) x-( 2π/ 9).

Learn more about  implicit differentiation:-

https://brainly.com/question/30073882

#SPJ4

when comparing the distribution of the population of individual scores to the distribution of means, the distribution of means will always have

Answers

The population distribution of scores has a similar average as the distribution of means.

In a sample distribution of means, the distribution will roughly resemble a normal distribution, the sampling distribution's mean will be equal to the population's mean, and the sampling distribution's standard deviation is based on the Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that the distribution of a sample variable tends towards a normal distribution (i.e., a "bell curve") as the sample size increases, under the premise that all samples are of equal size and regardless of the population's actual distribution shape.

In other terms, the central limit theorem (CLT) is a statistical presumption that the mean of all sampled variables from the same population will be substantially equal to the mean of the entire population, given a large enough sample size from a population with little volatility. These samples likewise resemble a normal distribution in accordance with the law of large numbers, with their variances nearly matching the variance of the population as the sample size rises.

To know more about central limit theorem, click the below link

https://brainly.com/question/18403552

#SPJ4

the actual question is :

When comparing the size of the standard error of the mean with the size of the standard deviation of the underlying distribution of individual scores:

a. the standard error of the mean is always larger

b. the standard error of the mean is always smaller

c. the standard error of the mean is sometimes larger and sometimes smaller, depending on the sample size

d. none of these

In the New York State Numbers Lottery, you pay $1 and pick a number from 000 to 999. If your number comes up, you win $750, which is a profit of $749. If you lose, you lose $1. Your probability of winning is 0.001.

Answers

The expected value of playing this game is -$0.251. This means that, on average, you can expect to lose 25.1 cents every time you play this game.

What is outcome?

The term "outcome" generally refers to the result or effect of an action, process, or event. It refers to what happens as a consequence of a particular decision, activity, or circumstance.

According to question:

To calculate the expected value, we multiply the possible outcomes by their probabilities and then sum them up.

Let's start with the possible outcomes:

If you win, you make a profit of $749, so the outcome is $749.

If you lose, you lose $1, so the outcome is -$1.

The probabilities are:

Probability of winning is 0.001.

Now we can calculate the expected value:

Expected value = (0.001 * $749) + (0.999 * -$1)

Expected value = $0.748 - $0.999

Expected value = -$0.251

Therefore, the expected value of playing this game is -$0.251. This means that, on average, you can expect to lose 25.1 cents every time you play this game.

To know more about outcome visit:

https://brainly.com/question/14351525

#SPJ1

A weight is attached to a spring that is oscillating up and down. It takes 2 seconds for the spring to complete one cycle, and the distance from the highest to the lowest point is 5 in. What equation models the position of the weight at time t seconds?

Answers

The equation that models the position of the weight at time t seconds is y(t) = 2.5 sin (πt) + 2.5

The equation that models the position of the weight at time t seconds is

y(t) = 2.5 sin (πt) + 2.5

The position of the weight at time t seconds can be modeled by a sinusoidal function of the form

y(t) = A sin (ωt + φ) + C

where

A is the amplitude of the oscillation (half the distance between the highest and lowest points), which is 2.5 in.

ω is the angular frequency of the oscillation, which is 2π divided by the period (the time for one complete cycle), which is 2 seconds. So, ω = 2π/2 = π radians/second.

φ is the phase angle, which depends on the initial position of the weight. We can assume that the weight starts at the highest point (the crest), so φ = 0.

C is the vertical shift, which is the midpoint of the oscillation (half the distance between the highest and lowest points added to the starting point). So, C = 2.5 + 0 = 2.5 in.

Putting it all together, we get

y(t) = 2.5 sin (πt) + 2.5

Learn more about oscillation here

brainly.com/question/29161543

#SPJ4

I don’t understand please help me with this

Answers

Answer:

Greg bought a pack of X jumbo stickers during the back - to - school sale at Crafty's craft store. He ( uses 4  ( -4 ), ( you didn't give options ). There were 8 stickers left in the pack.

Hope this helps!

Step-by-step explanation:

Other Questions
The Art Forger Who Tricked the NazisWhere did the trial take place? What was the defendant accused of?What was strange about his defense?How did Han van Meegeren manage to forge the works of art so well? What did he do to make them look authentic?How could forensic testing have changed this case?What ultimately happened to van Meegeren?Money to Run, But No Skills to HideHow did Schrenker try to fake his own death? How did he get caught?Why is creating a new state ID harder to do these days?Why is it so difficult to fake a passport? What is the easiest way for criminals to obtain a passport?Why does Mr. Abagnale claim it is easy to get a fraudulent passport? What steps does someone have to take to make this happen?Why was Mr. Abagnale arrested? What happened to him after his arrest? how much can a single person make a year before owing taxes Ava Is Unable To Pull Up Her Company's Website, Theoretical.Com, In Her Web Browser. She Wants To Check That The Server Is Online And Responding To Requests. Which Of The Following Could She Try? A. Use The Command: Dig Theoretical.Com B. Ping The IP Address Of The Web Server C. Use The Man Command To Look Up The Online Status Of The Web Server D. Use The command nslookup theoretical . com you need 4 tb of fast storage for a server but your budget is limited. the storage will be accessed continually 365 days/year. which of the following options should you select that is not the least expensive nor the most expensive option but still provides good performance? group of answer choices a. 4 tb sas ssd b. 2 tb sata hdds c. 4 tb hybrid drive d. 4 tb sata hdd ven though the United States is one of the richest countries in the world, poverty is significant and persistent. Identify whether or not the following are characteristics of poverty in the United States.Characteristic of Poverty in the United States:~The largest group of the nation's poor are white.~Over 40 million people live in poverty in the United States. Mother Earth . .. is no more than the commonality of organisms and the physical environment theymaintain with each passing moment, an environment that will destabilize and turn lethal if the organismsare disturbed too much. ... To disregard the diversity of life is to risk catapulting ourselves into an alienenvironment. We will have become like the pilot whales that inexplicably beach themselves on New Englandshores.Which of the following choices best expresses the type of appeal Wilson uses in this passage? The author uses logos to develop his argument by providing factual information about pilot whales in NewEngland. The author uses logos to develop his argument by gaining sympathy for the pilot whales in New England.O The author uses pathos to develop his argument by including emotionally charged language to evoke aresponse. The author uses pathos to develop his argument by chastising the reader for the destruction of theenvironment. 1. In 3-5 sentences, identify the different points of view of the characters in the story (not the narrator points of view) and describe the suspense created by the two points of view. 2.Write a paragraph identifying and explaining the theme present in this passage and how it relates to any universal themes. 59.briefly review some of the reasons for the emergence of the protestant reformation in the 16th and 17th centuries. Identify the other way an amendment can be approved before going to the states for approval?ResponsesA Two-thirds of both houses of Congress need to approve the amendment.Two-thirds of both houses of Congress need to approve the amendment.B Thirty-five of the fifty state governors need to approve the amendment.Thirty-five of the fifty state governors need to approve the amendment.C The President of the United States needs to approve the amendment.The President of the United States needs to approve the amendment.D The Supreme Court needs to declare that the amendment is constitutional.The Supreme Court needs to declare that the amendment is constitutional.Question 2When the U.S. Constitution was created, why did the creators include an amendment process?ResponsesA They identified the legislative branch as the most important to our nation's success.They identified the legislative branch as the most important to our nation's success.B They wanted to give the President more veto power.They wanted to give the President more veto power.C They knew that the Constitution would have to be changed over time.They knew that the Constitution would have to be changed over time.D They understood that the Constitution would only last for a short period of time. A bank statement is shown. Fill in the gaps to complete the sentence below. This bank statement shows a profit/ loss of Description Sales - Monday Staff wages Sales - Tuesday Supplies - office equipment Sales - Wednesday Rent for office space Customer refund Money in 360.00 295.00 415.00 Money out 520.00 70.00 400.00 150.00 Please help Please help me answer! Provide ONE example of how using figurative language can improve communication when talking to a friend or family member and ONE way it can hinder communication. Explain your reasoning.(THIS IS CRITICAL THINKING!!!) This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = 0.04088x2 + 0.4485x + 1.862. In what month did Phoenix receive the lowest amount of precipitation? Month (x) Precipitation January 2.27 inches February ? March ? April ? May ? June ? July ? August ? September 2.59 inches October ? November ? December ? Sketch a graph or fill in the table to answer the question. January February November December the cstp are organized around six interrelated domains of teaching practice. the following are the six standards there is what is the log2(100)? it or use a calculator. (to 2 decimal places) round that number up to the next highest integer: based on the tests you've done: what is the maximum number of iterations used for quick search on a collection of 100 items? what is the maximum number of iterations used for linear search on a collections of 100 items? what is the bigo of quick search? hint: n For each of these words or phrases, think of ways to explain the concept to families in everyday language. Remember to take cultural and socio-economic factors into consideration.Words and PhrasesPhonological awarenessSelf-regulationGross motor skillsCardinalityApproaches to LearningSelect three of the words and phrases (or use three of your own) and document how you would explain each assessment term using everyday language. A retail company has developed a REST API which is deployed in an Auto Scaling group behind an Application Load Balancer. The API stores the user data in DynamoDB and any static content, such as images, are served via S3. On analyzing the usage trends, it is found that 90% of the read requests are for commonly accessed data across all users. As a Solutions Architect, which of the following would you suggest as the MOST efficient solution to improve the application performance? Why wasnt appeasement effective at the Munich Conference? suppose you want to loan some money to a good friend for a year and you know with certainty that she will pay you back the money. you aren't interested in making money on the deal but you don't want to lose either. she says she will pay you 10% interest. you estimate prices are going to be going up 10% next year and you loan the money. A satellite TV company offers two plans. One plan costs $115 plus $30 per month. The other plan costs $60 per month. How many months must Alfia have the plan in order for the first plan to be the better buy?