Make x the subject
3x² + 4y = 4

Answers

Answer 1
To make x the subject in the equation 3x² + 4y = 4, we need to isolate the term containing x² and then solve for x. We can do this as follows:

3x² + 4y = 4

Subtract 4y from both sides:

3x² = 4 - 4y

Divide both sides by 3:

x² = (4 - 4y) / 3

Take the square root of both sides, remembering to include both the positive and negative roots:

x = ±sqrt((4 - 4y) / 3))

Therefore, x can be expressed as:

x = sqrt((4 - 4y) / 3)) or x = -sqrt((4 - 4y) / 3))

Related Questions

Use the given information below to answer the questions. Show ALL your work.The heights of young men follow a Normal distribution with mean 69.3 inches and standard deviation 2.8 inches. The heights of young women follow a Normal distribution with mean 64.5 inches and standard deviation 2.5 inches.LetM = the height of a randomly selected young manW = the height of a randomly selected young woman1. Describe the shape, center, and spread of the distribution of M-W.2. Find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman.

Answers

We have that, The probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is 0.709

How do we find the probability?

1. The shape, center, and spread of the M-W distribution are:Shape: NormalCenter: 4.8 inches (69.3 - 64.5)Spread: The standard deviation of the difference between two normally distributed variables is given by the formula:

[tex]\sigma (M-W) = \sqrt{(\sigma_1^2 + \sigma_2^2)} = \sqrt{(2.8^2 + 2.5^2)} \approx 3.64[/tex]

Let us define [tex]Z = (M - W - 2)/3.64[/tex]. So the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is:

[tex]P(M > W + 2) = P((M - W - 2)/\sigma(M-W) > (- 2)/\sigma (M-W)) = P(Z > -0.55) = 1 - P(Z \leq  - 0.55)[/tex]

Using a standard normal table or a calculator, we find that [tex]P(Z \leq  -0.55) \approx 0.291[/tex]. Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is: [tex]P(M > W + 2) \approx  1 - 0.291 = 0.709[/tex].

The shape, center, and spread of the M-W distribution are:

Shape: Regular Center: 4.8 inches (69.3 - 64.5)

Dispersion: The standard deviation of the difference between two normally distributed variables is given by the formula:

[tex]\sigma (M-W) = \sqrt{(\sigma_1^2 + \sigma_2^2)} = \sqrt{(2.8^2 + 2.5^2)} \approx 3.64[/tex]

The probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is: [tex]P(M > W + 2) \approx 0.709[/tex].

See more information about probability in: https://brainly.com/question/24756209

#SPJ11

Increase 80g by 25%

Help me i’ll give you 15 points!

Answers

Answer:

To increase 80g by 25%, you need to find 25% of 80 and then add that to 80.

25% of 80 is (25/100) x 80 = 20

So, to increase 80g by 25%, you add 20g to 80g:

80g + 20g = 100g

Therefore, an increase of 25% on 80g is 100g.

Step-by-step explanation:

Select the correct answer. Which graph represents this equation? A. The graph shows an upward parabola with vertex (minus 3, minus 4.5) and passes through (minus 7, 3.5), (minus 6, 0), (0, 0), and (1, 3.5) B. The graph shows an upward parabola with vertex (3, minus 4.5) and passes through (minus 1, 3.5), (0, 0), (6, 0), and (7, 3.5) C. The graph shows an upward parabola with vertex (minus 2, minus 6) and passes through (minus 5, 7), (minus 4, 0), (0, 0), and (1, 7) D. The graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7)

Answers

Answer:

A

Step-by-step explanation:

A right triangle has a leg length of 24 yards and a hypotenuse of 45 yards. Find the length of the other leg

Answers

The length of the other leg is 38 yards

What is Right Triangle?

Right Triangle is a triangle in which one of the interior angles measures 90 degrees. It is also a figure where one of the three angles measures 90° and the other two angles are acute that sums to 90°.

Using Pythagoras theorem to the Right Triangle,

C^2 = A^2 + B^2

Where C = Hypotenuse = 45 yards

A = One of the leg = 24 yards

To get the value of B,

C^2 = A^2 + B^2

B^2 = C^2 - A^2

B^2 = (45^2) - (24^2)

B^2 = 2025 - 576

B^2 = 1449

B = √1449

B = 38 yards

Therefore, the length of other leg is 38  yards

Read more about Right Triangle

https://brainly.com/question/25016594

#SPJ1

What’s is the answer to this

Answers

Answer:

What is the measure of angle F?

B. 65

Step-by-step explanation:

You're welcome.

What is the area of a triangle with a base of 5x - 4 and a height of 2x +6?

Answers

The area of the triangle is 5x² + 11x -12 whose base is 5x - 4 and height is 2x + 6.

What is triangle?

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

According to question:

The formula for calculating a triangle's area is:

Area = 1/2 x Base x Height

Plugging in the given values, we get:

Area = 1/2 x (5x - 4) x (2x + 6)

Simplifying, we get:

Area = 1/2 x (10x² + 22x - 24)

Distributing the 1/2, we get:

Area = 5x² + 11x - 12

Therefore, the area of the triangle is 5x² + 11x - 12.

The three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

To know more about triangle visit:

https://brainly.com/question/29083884

#SPJ1

The following set of scores was obtained from a quiz: 4, 5, 8,9, 11, 13, 15, 18, 18, 18, 20. The teacher computes the usual descriptive measures of central tendency and spread for these data and then discovers that an error was made. One of the 18s should have been a 16. Which of the following measures will NOT need to be changed from the original computations? (There may be more than one correct answer.) Mean 73 Median Standard deviation 1 IQR They all will need to be changed.

Answers

All of the measures of central tendency and spread for these data will need to be changed from the original computations in order to reflect the correct values.



In this case, the initial set of scores was 4, 5, 8, 9, 11, 13, 15, 18, 18, 18, and 20. The teacher initially computed the mean, median, standard deviation, and IQR and then discovered that one of the 18s should have been a 16.The mean is affected by any change in the data, so this measure will need to be changed to reflect the correct values. The new mean is 73.The median is also affected by any change in the data, so this measure must be recalculated to reflect the correct values.

The new median is 15.5.The standard deviation measures the spread of data from the mean, so this measure must also be changed to reflect the correct values. The new standard deviation is 1.4.Finally, the IQR measures the spread of the middle 50% of the data, so this measure must also be changed to reflect the correct values. The new IQR is 6. All of the measures of central tendency will need to be changed.

Read more about Measures of central tendency at

https://brainly.com/question/28473992

#SPJ11

a researcher compares the effectiveness of two different instructional methods for teaching anatomy. a sample of 116 students using method 1 produces a testing average of 50.3. a sample of 151 students using method 2 produces a testing average of 68.6. assume that the population standard deviation for method 1 is 15.62, while the population standard deviation for method 2 is 17.21. determine the 99% confidence interval for the true difference between testing averages for students using method 1 and students using method 2. step 3 of 3 : construct the 99% confidence interval. round your answers to one decimal place.

Answers

The 99% confidence interval for the true difference between testing averages for students using method 1 and students using method 2 is [15.8, 20.8].

The 99% confidence interval for the true difference between testing averages for students using method 1 and students using method 2 can be calculated using a two-sample t-test.

First, calculate the sample difference in means. Subtract the mean for method 1 (50.3) from the mean for method 2 (68.6) to get 18.3.

Next, calculate the pooled standard deviation, which is the weighted average of the standard deviations for each sample:

Pooled standard deviation = [tex]√(((n1-1)×s12 + (n2-1)×s22)/ (n1+n2-2))[/tex]

n1=116, s12=15.62, n2=151, s22=17.21

Pooled standard deviation = [tex]√(((116-1)×15.62 + (151-1)×17.21)/ (116+151-2))[/tex]
Pooled standard deviation = [tex]√(1422.3788/265)[/tex]

Pooled standard deviation = 4.89

Finally, calculate the 99% confidence interval for the true difference between testing averages for students using method 1 and students using method 2:

99% Confidence Interval = Sample Difference in Means ± (Critical Value) × (Pooled Standard Deviation/√(n1+n2))

99% Confidence Interval =[tex]18.3 ± (2.58) × (4.89/√(116+151))[/tex]

99% Confidence Interval = 18.3 ± 2.50

for such more questions on standard deviation
https://brainly.com/question/475676

#SPJ11

Given the right triangle below, what is the measure of angle E

Answers

The angle E is 50.21°

What is a triangle?

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The triangle's three line segments are referred to as its sides, and its three points of intersection as its vertices.

Given, the right angle triangle at ∠F = 90°

According to the figure, base = 16cm, hypotenuse = 25cm

Apply Cosine rule;

Cos x = 16/25

x = Cos⁻¹ (16/25)

x = 50.21°

Therefore, the angle E is 50.21°

To know more about triangle, visit:

https://brainly.in/question/17424774

#SPJ1

Triangle: According to the question the measure of angle E is 50.21°

What is a triangle?

A triangle is a three-sided polygon which has three angles and three vertices. It is one of the basic shapes in geometry and is a fundamental shape in many mathematical and engineering fields. A triangle can be classified according to its angles or sides. Right triangles have one angle that is a right angle (90°) and two acute angles, obtuse triangles have one obtuse angle (greater than 90°) and two acute angles, and equilateral triangles have three equal angles and three equal sides.

Given, the right angle triangle at ∠F = 90°
According to the figure, base = 16cm, hypotenuse = 25cm
Apply Cosine rule;
Cos x = 16/25
x = Cos⁻¹ (16/25)
x = 50.21°
Therefore, the angle E is 50.21°

To know more about triangle, visit:
https://brainly.com/question/28470545
#SPJ1

I WILL AWARD YOU THE BRAINLIEST!!!!!!!!!
whats 1+1-1

Answers

Answer:

1

Step-by-step explanation:

LOL

Answer:

1+1-1=1

Step-by-step explanation:

1+1=2

2-1=1

your answer is 1

help me please........................................................

Answers

Answer:

To find the area of the given figure, we can divide it into two separate shapes, a rectangle and a triangle, and then add their areas together.

First, we can find the area of the rectangle by multiplying its length and width. From the diagram, we can see that the length of the rectangle is 12 cm and the width is 5 cm.

Area of rectangle = length x width

Area of rectangle = 12 cm x 5 cm

Area of rectangle = 60 cm^2

Next, we can find the area of the triangle by using the formula for the area of a triangle, which is:

Area of triangle = 1/2 x base x height

From the diagram, we can see that the base of the triangle is 5 cm and the height is 8 cm.

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 cm x 8 cm

Area of triangle = 20 cm^2

Finally, we can find the total area of the figure by adding the area of the rectangle and the area of the triangle:

Total area = area of rectangle + area of triangle

Total area = 60 cm^2 + 20 cm^2

Total area = 80 cm^2

Therefore, the area of the given figure is 80 square centimeters.

Step-by-step explanation:

a 12 cm tall and radius of 10 cm cylinder is filled with 10 cm of water. find a) the rotational speed at which the water just touches the bottom of the cylinder and b) the resulting pressure at points a and b.

Answers

a 12 cm tall and radius of 10 cm cylinder is filled with 10 cm of water.

a) Rotational speed at which the water just touches the bottom of the cylinder:

                  We will use the formula for centripetal force for a liquid with the volume of a cylinder to obtain the rotational speed at which the water just touches the bottom of the cylinder.

         The formula for centripetal force for a liquid with the volume of a cylinder is as follows:

                   F = (ρr²πh)ω²WhereF:

   Centripetal forceρ: Densityr: Radiush : Heightω: Rotational speed Substituting the given values,

       

we get: F = (1000 kg/m³ × (0.1m)² × π × 0.12m)ω²F

                = 377 Nω

                = √(F/m)ω

                = √(377 N/ 10 kg)ω

                = √37.7ω = 6.14 rad/sb)

      Pressure at points A and B:

                                We will use the formula for hydrostatic pressure for a liquid to calculate the pressure at points A and B. The formula for hydrostatic pressure for a liquid is as follows:

                         P = ρgh

  Where,

           P: Pressureρ: Densityg: Acceleration due to gravity: DepthSubstituting the given values for point A,

we get P = 1000 kg/m³ × 9.8 m/s² × 0.1 mP

                = 980 Pa

        Substituting the given values for point B,

we get P = 1000 kg/m³ × 9.8 m/s² × 0.22 mP

                = 2156 Pa

      The resulting pressure at point A is 980 Pa and the resulting pressure at point B is 2156 Pa.

#SPJ11

Learn more about the rotational speed of the cylinder at: https://brainly.com/question/13988154

there are 30 aaa batteries in a box and 9 are defective. two batteries are selected without replacement. what is the probability of selecting a defective battery followed by another defective battery

Answers

Therefore, the probability of selecting a defective battery followed by another defective battery is about 12/145 or 8.28%.

What is the probability?

The probability of selecting a defective battery on the first draw is 9/30, or 3/10, since there are 3 defective batteries out of 30 total.

Since one battery has already been drawn, there are now 29 batteries left in the box, and 8 defective batteries remaining. The probability of selecting another defective battery on the second draw, without replacement, is 8/29.

To find the probability of both events happening (selecting a defective battery followed by another defective battery), we multiply the probabilities of each event:

P(defective battery and then another defective battery) = P(defective battery on first draw) × P(defective battery on second draw)

P(defective battery and then another defective battery) = (3/10) × (8/29)

P(defective battery and then another defective battery) = 24/290 = 0.0828 or 8.28%

Therefore, the probability of selecting a defective battery followed by another defective battery out of 30 AAA batteries in a box where 9 are defective and two batteries are selected without replacement is 0.0828 or 8.28%.

Learn more about Probability here:

https://brainly.com/question/9793303

#SPJ11

match the following. 1. a length equal to the height in a square 2. any rhombus can be created by rotating this shape around the midpoint of its base 3. found by dividing 360 by the number of sides of a regular polygon 4. height of a parallelogram 5. each angle in a rectangle 6. a special type of trapezoid 7. perpendicular distance from the center of a regular polygon to its side 8. a special type of regular polygon
Altitude
base
apothem
parallelogram
isosceles triangle
right angle central angle

Answers

The following points are matched:

A length equal to the height in a square - baseAny rhombus can be created by rotating this shape around the midpoint of its base - right angle (square)Found by dividing 360 by the number of sides of a regular polygon - central angleHeight of a parallelogram - altitudeEach angle in a rectangle - right angleA special type of trapezoid - parallelogramThe perpendicular distance from the center of a regular polygon to its side - apothemA special type of regular polygon - equilateral triangle

All sides of a square are equal.On rotating a square around the midpoint of its base, a rhombus is created. This happens due to the right angles between the sides of the square.The central angle of a regular polygon is obtained by dividing 360 by the number of sides of the same polygon.The altitude of a parallelogram is defined as its height.By the property of a rectangle, it has only right angles.A trapezoid is a quadrilateral with at least one pair of parallel sides while a parallelogram has both pairs of parallel sides.The apothem is the perpendicular distance from the center of a regular polygon to its side.An equilateral triangle is a special type of regular polygon with three equal sides and three equal angles.

Thus, the definitions are matched to their respective terms.

Learn more about Square here:

https://brainly.com/question/30556035

#SPJ12

When comparing the z-scores of values from different data sets, how do I know which one is "better"?

Answers

Higher z-scores imply more severe or unusual observations in the data set since they are indicative of values that are further from the mean en terms of standard deviations.

Why do people utilize z-score?

With the use of Z-scores, you are able to scale up data points from populations with various means and standard deviations. The comparison of observations for various sorts of variables, which would otherwise be challenging, is now possible thanks to the use of a common scale.

In plain terms, what is z-score?

The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from of the mean serve as the unit of measurement for Z-score. The score for a data point is equal to a mean score if the Z-score is 0.

To know more about z-scores visit:

https://brainly.com/question/29120012

#SPJ1

Scott has a blueprint of the new deck he is building with dimensions 7.5 inches by 4.5 inches. the actual deck will have dimensions 20 feet by 12 feet. what is the scale?

Answers

The scale factor of the blueprint of the deck is 1.5 inches = 4 feet

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, Scott has a blueprint of the new deck he is building with dimensions 7.5 inches by 4.5 inches. The actual deck will have dimensions 20 feet by 12 feet.

We need to find the scale factor,

7.5 / 20 = 1.5 / 4

Therefore,

There are 1.5 inches in 4 feet

Hence, the scale factor of the blueprint of the deck is 1.5 inches = 4 feet

Learn more about scale factors, click:

https://brainly.com/question/30215119

Answer:

hi

Step-by-step explanation:

guvuvugjdhddiebeidgddb

Solve for x. using the tangent lines.
50 deg
X
x =[?]^

Answers

This equation shows that the value of x is equal to the y-value divided by the tangent of 50°.

What is tangent?

Tangent is a line or plane that touches a curve or surface at a single point. It is a measure of the steepness of a curve or surface at a particular point. It is equal to the ratio of the change in the y-coordinate to the change in the x-coordinate of a point on the curve. Tangent is used in many areas of mathematics and physics, including calculus, geometry, and mechanics. It is also used to describe the rate of change in a function, as well as to define the angle between two intersecting lines.

The tangent line equation for a line with a slope of 50 degrees is y = tan(50°)x.
To solve for x, you must rearrange the equation to isolate x on one side of the equation.
To do this, divide both sides of the equation by tan(50°), giving the equation x = y/tan(50°). This equation shows that the value of x is equal to the y-value divided by the tangent of 50°.

To learn more about tangent
https://brainly.com/question/4470346
#SPJ1

the answer i need is Another pair it could be (_,10)

and every y value is _ every x value

Answers

Answer:

Another order pair could be (30,10).

Every y value is "one-third of" every x value.

y=-x+2


please anwser quickly as you can

Answers

Answer: -2.0

Step-by-step explanation:

1. What is the value of Pi to four decimal places?
2. How many vertices are there on a cube?
3. What is the prime number closest to 100?
4. What is the sum of the internal angles of a hexagon?
5. Which number is represented in binary as 100?

Answers

The value of Pi to four decimal places is 3.1416.

There are 8 vertices on a cube.

The prime number closest to 100 is 97.

The sum of the internal angles of a hexagon is 720 degrees.

The number represented in binary as 100 is 4 in decimal notation.

Answer:

The value of Pi to four decimal places is 3.1416.There are eight vertices on a cube.The prime number closest to 100 is 97.The sum of the internal angles of a hexagon is 720 degrees.The number represented in binary as 100 is 4 in decimal form.

Use the factorization A PDP 1 to compute Ak, where k represents an arbitrary integer. a 7(b-a) 17 a 017

Answers

If A = [tex]PDP^{-1}[/tex], Then [tex]A^{k}[/tex] = [tex](PDP^{-1}) ^{k}[/tex] = [tex]PDP^{-1}[/tex][tex]PDP^{-1}[/tex] .....[tex]PDP^{-1}[/tex] = [tex]PD^{k} P^{-1}[/tex]since [tex]P^{-1}[/tex] P = I, the identity matrix.

Further, the representation can be made as in the following attachment.

To learn more about integers, refer to:

https://brainly.com/question/929808

#SPJ4

Let P be some predicate. Check the box next to each scenario in which ∀n ∈ N, P(n) must be true.
a) For every natural number k > 0 , if P(i) holds for every natural number i < k, then P(k) holds.
b) P(0) holds and for every natural number k > 0, if P(i) does not hold, then there is some natural number i < k such that P(i) does not hold.
c) For every natural number k, if P(i) holds for every natural number i < k, then P(k) holds.
d) For every natural number k, if P(k) does not hold, then there is a smaller natural number i < k such that P(i) does not hold.

Answers

Answer:

A

Step-by-step explanation:

a) ✔️

This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.

b) ❌

There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.

c) ❌

This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.

d) ❌

This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.

After how many weeks do you think it would be unreasonable to continue counting individual mosquitoes? And finally, at the end of the 13-week mosquito season, how many mosquitoes would you expect to be in the trap? Use complete sentences to explain both of your answers below.

Answers

At the end of the 13-week mosquito season, we would expect to find around 558 mosquitoes in the trap.

It would be unreasonable to continue counting individual mosquitoes after about 13 weeks, since that is usually the end of the mosquito season. This is because, after the 13th week, the number of mosquitoes captured in the trap is likely to decrease significantly, making it pointless to count them individually. At the end of the 13-week mosquito season, the expected number of mosquitoes in the trap can be estimated using a simple exponential decay function.

Assuming the initial number of mosquitoes in the trap is N0 and the rate of decay is k, the number of mosquitoes after t weeks (Nt) can be calculated using the following equation: [tex]Nt = N0 * e-kt.[/tex]

For example, if the initial number of mosquitoes in the trap is 1000 and the rate of decay is 0.2, then the number of mosquitoes after 13 weeks can be estimated as follows:[tex]N13 = 1000 * e-0.2*13 = 558[/tex]

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Can someone help me with this math problem pls! #Percents

Answers

Answer: $3.64

Step-by-step explanation:

At the store, you buy four toys for $1.5, which means you pay $1.5 * 4, or $6.

Then, you calculate the sales tax, which is 6%, which means you multiply $6 by (100% + 6%), or $6*(1.06) which is $6.36.

Finally, if you hand the cashier $10, and you spent $6.36, your change is $10 - $6.36, which is $3.64.

The sales of books at a local book fair are shown in the histogram.

A histogram titled Book Sales with the x-axis labeled Number of Books. The x-axis has intervals of 0 to 1, 2 to 3, 4 to 5, 6 to 7, 8 to 9 and 10 to 11. The y-axis is labeled Frequency and starts at 0 with tick marks every two units up to 10. There is a shaded bar above 1 to 3 that stops at 3, above 2 to 3 that stops at 4, above 5 to 6 that stops at 8, above 6 to 7 that stops at 2, above 8 to 9 that stops at 4 and above 10 to 11 that stops at 8.

Which statement best describes the spread and distribution of the data?

The data is almost symmetric, with a maximum range of 11. This might be because the book fair offers fair prices, so most costumers bought books.
The data is skewed, with a maximum range of 14. This might be because many of the customers wanted to stock up before the winter.
The data is bimodal, with a maximum range of 11. This might occur if there is a sale, if you buy 4, or 10 books, you get one free.
The data is symmetric with a maximum range of 10. This might mean that most customers bought less than 3 books because that is all that they could carry.

Answers

"The data is skewed, with a maximum range of 14. This could be due to the fact that many customers wanted to stock up before the winter."

What is a histogram?

A histogram is a type of graph used in statistics to represent the distribution of a set of continuous data. It consists of a set of adjacent bars, where the area of each bar represents the frequency or relative frequency of observations within a specific interval or "bin" of the data.

The x-axis of a histogram shows the range of values for the variable being measured, divided into intervals or bins. The y-axis shows the frequency or relative frequency of observations within each interval or bin. Histograms are commonly used to show the shape, center, and spread of a distribution of data, as well as any potential outliers or gaps in the data.

In the given question, the histogram shows a skewed distribution, where the majority of book sales occurred in the lower intervals (1-3, 2-3, and 5-6) and the frequency decreases as the number of books sold increases. The maximum range of the data is 14 (from the interval 10-11 to the interval 2-3), which suggests a wide spread of book sales across different intervals.

"The data is skewed, with a maximum range of 14. This could be due to the fact that many customers wanted to stock up before the winter." comes the closest to describing the spread and distribution of the data shown in the histogram.

The other options do not accurately describe the shape or spread of the data shown in the histogram.

To know more about histogram, visit:

https://brainly.com/question/30354484

#SPJ1

Answer:

C: The data is bimodal, with a maximum range of 11. This might occur if there is a sale, if you buy 4, or 10 books, you get one free.

Step-by-step explanation:

Let f(x)=x2−4. What is the average rate of change of f(x) from −5 to −2 ?

A. -1/7

B. 1/7

C. -7

D. 7

Answers

Answer:

Step-by-step explanation:

To find the average rate of change of the function f(x) from -5 to -2, we need to calculate:

(f(-2) - f(-5))/(-2 - (-5))

First, let's find f(-2) and f(-5):

f(-2) = (-2)^2 - 4 = 0

f(-5) = (-5)^2 - 4 = 21

Substituting these values in the above formula, we get:

(0 - 21)/(-2 + 5) = -21/3 = -7

Therefore, the average rate of change of f(x) from -5 to -2 is -7.

So the answer is (C) -7.

Can someone help me with this

Answers

Answer:

they bought 62 item from noodles and 51 items from hot chips

A 40-year-old person who wants to retire at age 60 starts a yearty retirement contribution in the amount of $6,000. The retirement account is forecasted to average a 5% annual
rate of retum, ylelding a total balance of $198,395.72 at retirement age.
If this person had started with the same yearty contribution at age 30, what would the difference be in the account balances?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
O $200,732.63
O $200,237.36
O $398,633.09
O S389.633.90

Answers

Para calcular la diferencia en los saldos de la cuenta de jubilación, necesitamos calcular los saldos en ambos casos y luego restarlos.

Para el primer caso, donde la persona comienza a hacer contribuciones anuales a los 40 años, tenemos:

Número de años hasta la jubilación: 60 - 40 = 20 años

Contribución anual: $6,000

Tasa de interés anual: 5%

Usando la fórmula para el valor futuro de una serie de pagos (anualidades) ordinarias, tenemos:

VF = Pmt x [(1 + r)^n - 1] / r

Donde VF es el valor futuro (saldo de la cuenta), Pmt es la contribución anual, r es la tasa de interés anual y n es el número de períodos (en este caso, el número de años hasta la jubilación).

Entonces, para este caso, el saldo de la cuenta sería:

VF = $6,000 x [(1 + 0.05)^20 - 1] / 0.05 = $198,395.72

Para el segundo caso, donde la persona comienza a hacer contribuciones anuales a los 30 años, tenemos:

Número de años hasta la jubilación: 60 - 30 = 30 años

Contribución anual: $6,000

Tasa de interés anual: 5%

Usando la misma fórmula que antes, el saldo de la cuenta sería:

VF = $6,000 x [(1 + 0.05)^30 - 1] / 0.05 = $398,633.09

Entonces, la diferencia en los saldos de la cuenta sería:

$398,633.09 - $198,395.72 = $200,237.37

Por lo tanto, la respuesta es la opción B) $200,237.36.

Answer: B- $200,237.36

Step-by-step explanation: Got it right on the test! And also the person above helped me out a lot!!

What is the largest number less than 570 that is divisible by 9?
(I need it for a assignment on Beast Academy)

Answers

Answer:

567 is the correct number.

Step-by-step explanation:

[tex]5 + 6 + 7 = 18[/tex]

[tex]1 + 8 = 9[/tex]

So 567 is divisible by 9 since

[tex]567 \div 9 = 63[/tex]

Triangle ABC has coordinates A(4,1), B(5,9),and C (2,7). If the triangle is translated 7 units to left, what are the coordinates of B'? ​

Answers

Answer:

(-2,9)

Step-by-step explanation:

when moving it 5 units left on the x axis it would be 5-7

So in turn you would be given (-2,9)

Because the y stays the same you would still have (?,9)

Other Questions
John will donate 20$ to the charity, if active change to passive if passive change to active Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital? When considering the relationship between standard free energy change and the equilibrium constant, if K>1, _______. Select the correct answer below: products are more abundant at equilibrium ?G? is positive ?G? is zero reactants are more abundant at equilibrium when carl first attended college, he either barely passed or failed most of his courses despite his efforts to do well. after working at a low paying job for a couple of years, carl has returned to school. overwhelmed with the demands of exams, term papers, library assignments, and the need to concentrate on his studies, carl finds himself procrastinating and engaging in self-defeating passive behaviors. this example illustrates the pehenomenon _____ true/false. strategy decisions involve issues such as the number and location of warehouses and the selection of appropriate transportation modes. Virtually all parties seeking Supreme Court review must petition the Court for a(n) _____, which commands the lower court to forward the trial records to the Court.criminal trial court proceeding.writ of certiorariforum non conveniens. With reference to the Big Five Model, which of the following is a difference between highly agreeable and less agreeable people?A) Highly agreeable people tend to do better in interpersonally oriented jobs than less agreeable people.B) Highly agreeable people are less compliant and less rule abiding than less agreeable people.C) Highly agreeable people tend to be less satisfied in their jobs than less agreeable people.D) Highly agreeable people engage in less organization citizenship behavior than less agreeable people.E) Highly agreeable people have more tendency to engage in organizational deviance than less agreeable people. I need help asap I just need atleast one of these explained and I can do the rest Mr. Yuman overheard another professor describing one of his students as lazy and unmotivated. Though Mr. Yuman had not previously noted this tendency, he began to see exactly what the other professor had noted. This is an example of:a) deindividuationb) social loafingc) representative heuristicd) attribution theorye) self-fulfilling prophecy the dog eats 8 ounces of dog food each day his owner bought 28 pound bag at the 8 ounces cost $3.50 so how much did the owner spend for 28 bag ylidenenorbornadiene carboxylates: experimental kinetic analysis of a nucleophile-induced fragmentation reaction give one specific example of the u.s. interfering with other territories (hawaii, cuba/spanish-american war, the philippines, or panama). briefly summary what happened professor howe recommends 18 steps that all organizations should consider when implementing information security. what is the first step, which is necessary because it legitimizes the program and enables enforcement? it is the foundation for all the subsequent steps. Several technologies exist today to help health care professionals determine osteoporosis risk. Check all of the following methods that are used to assess bone health.Quantitative ultrasoundQuantitative computed tomographyDual-energy x-ray absorptiometry B-lymphocytes are categorized as part of the adaptive branch of the immune system for all of the following reason but one. Which of the following is not one of the reasons B-lymphocytes are considered part of the adaptive immunity? They are a first line of defense that can begin killing pathogens immediately. Write 2-3 sentences explaining to someone why you are never speaking to them again in a Emotionally devastated tone? When the owners of Crepes a la Nana arrive at the brunch they were booked to cater, they are greeted by an angry customer. He claims they are late, but MaryAnn insists they are on time. Nana, not wanting to focus on who is right or wrong, steps in to communicate a new plan. Which rule of service recovery is Nana demonstrating?Fix the customer's problemact fast and take ownership.Fix the customer's problemtreat customers with respect.Fix the customer's problemcompensate the customer appropriately.Fix the company's problem: make sure it does what it says it will actually do An object is released from rest a height h above the ground. A second object with four times the mass of the first if released from the same height the potential energy of the second object compared to the first is a. four times moors. b. twice as much. c. the same d. sixteen times more. Assume that the full-empinyment level of GDP is $10,000. The current level of GDP is $8,000. Answer the following questions a. Does this economy have any cyclical unemployment? Explain. b. If the MPC is.8, what minimum decrease in taxes is needed to reach full employment? c. If the MPC is.8, what minimum increase in government spending is needed to reach full employment? d. Are your answers to questions b and c numerically identical? If not, explain why? e. Could an equal increase in government spending and in taxes be used to reach full employment GDP? If so, what amount? the earth has seasons due to its tilt. three pieces of evidence proving this is the case are given below. please identify the one statement below that is not one of the pieces of evidence. question 1 options: the earth's elliptical orbit: the change in distance to the sun within the ellipse is only a few percent, which is not enough to cause the seasonal changes. simultaneously opposite seasons: the northern and southern hemispheres experience opposite seasons simultaneously, which is not possible if the changing distance was responsible for the changing seasons. the earth's closest approach: the earth's closest approach to the sun occurs in january one of the coldest months in the northern hemisphere the solar system's motion: the solar system is moving within the milky way galaxy itself, which causes the tilt of the earth.