Do you pay less at Payless? Mary Ann and Abigail were shopping for prom shoes and wondered


how the prices at Payless compared to the prices


at Famous Footwear. At each store, they randomly


selected 30 pairs of shoes and recorded the price of


each pair. The table shows summary statistics for


the two samples of shoes. 28


Store


Mean


SD


Famous Footwear


$45. 66


$16. 54


Payless


$21. 39 $7. 47


Do these data provide convincing evidence at the


0. 05 significance level that shoes cost less


, on


average, at Payless than at Famous Footwear?


a =

Answer: x = 8

Step-by-step explanation:

As you can see 15 is divided by 3 and so is 9 so you divide 24 by 3 and you get 8 because 24 divided by 3 = 8

Answer:

see below

Step-by-step explanation:

The formula for slope is

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

The person who tried to solve the problem did

Subtracted the x's over the y's instead of the y's over the x's

It should be (0-3)/(-4 -2)

                     -3/-6

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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a) The initial speed of the ball is 19.3 m/s. b) The ball reaches a maximum altitude of 19.0 m. c)  The time elapsed is 3.92 seconds. d) It will take 2.25 seconds for the baseball to reach the ground again.

To solve this problem, we can use the equations of motion under constant acceleration.

Given:

Vertical speed of the ball (upward) = 11 m/s

Initial vertical position (below the window) = 19 m

Part A: Initial Speed

The initial speed of the ball can be determined using the formula for vertical motion:

\(v^2\) = \(u^2\) + 2as

Since the ball is moving vertically upward, the final velocity (v) is 0 m/s when it reaches the highest point. The initial vertical position (s) is 19 m, and the acceleration (a) is -9.8 m/\(s^2\) (assuming downward direction as negative).

\(0^2\) = \(u^2\) + 2(-9.8)(19)

0 = \(u^2\) - 372.4

\(u^2\) = 372.4

u ≈ 19.3 m/s

Therefore, the initial speed of the ball is approximately 19.3 m/s.

Part B: Maximum Altitude

To determine the maximum altitude reached by the ball, we can use the equation:

\(v^2\) = \(u^2\) + 2as

Here, the final velocity (v) is 0 m/s, the initial speed (u) is 19.3 m/s, and the acceleration (a) is -9.8 m/\(s^2\).

\(0^2\) = \((19.3)^2\) + 2(-9.8)s

0 = 372.49 - 19.6s

19.6s = 372.49

s ≈ 19.0 m

Therefore, the ball reaches a maximum altitude of approximately 19.0 m.

Part C: Time Elapsed since Thrown

To calculate the time elapsed since the ball was thrown, we can use the equation for vertical motion:

s = ut + (1/2)a\(t^2\)

Here, the initial vertical position (s) is 19 m, the initial speed (u) is 19.3 m/s, and the acceleration (a) is -9.8 m/\(s^2\).

19 = 19.3t + (1/2)(-9.8)\(t^2\)

0 = -4.9\(t^2\) + 19.3t - 19

Using the quadratic formula, we can solve for t:

t ≈ 3.92 s or t ≈ 0.96 s

Therefore, the time elapsed since the ball was thrown is approximately 3.92 seconds.

Part D: Time to Reach Ground Again

To calculate the time it will take for the ball to reach the ground again, counting from the moment it passed the window upward, we can use the equation:

s = ut + (1/2)a\(t^2\)

Here, the initial vertical position (s) is 0 m (since it is the ground level), the initial speed (u) is 11 m/s (as it passes the window upward), and the acceleration (a) is -9.8 m/\(s^2\).

0 = 11t + (1/2)(-9.8)\(t^2\)

0 = -4.9\(t^2\) + 11t

Solving this quadratic equation, we find:

t ≈ 0 s or t ≈ 2.25 s

Therefore, it will take approximately 2.25 seconds for the baseball to reach the ground again, counting from the moment it passed the window upward.

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The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

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The derivative of f(x) = ∫ (- 2 to x) √t³ + 8) dt is, √(x³ + 8).

We have to given that,

Function is,

f (x) = ∫ (- 2 to x) √t³ + 8) dt

So, the derivative of f (x) = ∫ (- 2 to x) √t³ + 8) dt is,

By using the Fundamental Theorem of Calculus Part I, we need to evaluate the integrand at the upper limit of integration x and multiply by the derivative of the upper limit:

f'(x) = d/dx [  ∫ (- 2 to x) √t³ + 8) dt ]

f'(x) = √(x³ + 8)

Therefore, the derivative of f(x) is √(x³ + 8).

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The  probability is 102.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Moderate Success     0.3 102.0 120 208.0

Failure                        0.4 102.0 10.0 100

Now, the probability

E(x) = \(\sum^3_i\)= \(S_iP_i\)

      = 102 x 0.3 + 102 x 0.3 + 102 x 0.4

      = 30.6 + 30.6 + 40.8

      = 102

Hence, the probability is 102.

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The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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Stunting is the term used to describe a form of malnutrition in which children have a low height-for-age ratio. It is characterized by children appearing to have normal weight but being shorter than they should be for their age.

Stunting is a result of chronic malnutrition, typically experienced during the first 1,000 days of a child's life, from conception to the age of two.

Stunting is a prevalent issue in many developing countries, where access to nutritious food, clean water, and proper healthcare may be limited. It is primarily caused by a lack of adequate nutrition, particularly a deficiency in essential nutrients such as protein, vitamins, and minerals. Additionally, factors like poor sanitation, recurrent infections, and inadequate maternal and child care contribute to stunting.

The consequences of stunting are significant and long-lasting. It affects not only physical growth but also cognitive development, immune function, and overall well-being. Stunted children are at a higher risk of developmental delays, reduced learning capacity, and increased susceptibility to diseases. The impact of stunting can extend into adulthood, leading to reduced productivity and economic potential.

Addressing stunting requires comprehensive interventions that focus on improving maternal and child nutrition, access to clean water and sanitation, and healthcare services. Promoting exclusive breastfeeding, providing nutrient-rich foods, and implementing public health programs are essential in combating stunting and ensuring optimal growth and development for children.

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The probability that all three of these things will happen is   A)6/203.

What is probability?

Probability is a way of calculating how likely something is to happen. It is difficult to provide a complete prediction for many events. Using it, we can only forecast the probability, or likelihood, of an event occurring. The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

For the first drawing, there are  30  tickets altogether, and Jason

has  10  of them.  The probability that one of his tickets will win is

=>10 / 30 .

For the second drawing, there are  29  tickets altogether, and Jason

has  9  of them.  The probability that one of his tickets will win is

=> 9 / 29 .

For the third drawing, there are  28  tickets altogether, and Jason

has  8  of them.  The probability that one of his tickets will win is                                                                 =>8 / 28 .

The probability that all three of these things will happen is                       => (10/30) x (9/29) x (8/28)  =  720 / 24,360 = 6/203.

Hence the correct option is A) 6/203.

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Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula

Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.

Variance = Summation n to i = 1 \(\frac{(X_{1-X} )^2}{n-1}\)

        0 = Summation n to i = 1\(\frac{(X_{1-X} )^2}{n-1}\)

                Summation n to i \({(X_{1-X} )^2\) = 0

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The county commissioner should test the hypothesis H0: p<=0.5 (null hypothesis) against the alternative hypothesis Ha: p>0.5.

This means that the commissioner assumes that the proportion of people in her district who favor the spending on a sewer system is equal to or less than 50%, and she wants to see if there is enough evidence to reject this hypothesis in favor of the alternative that the proportion is greater than 50%.

The commissioner needs to conduct a hypothesis test to determine if a majority of the people in her district favor the construction of a sewer system. She should test the null hypothesis H0: p<=0.5 against the alternative hypothesis Ha: p>0.5, where p is the proportion of people in her district who favor the spending on the sewer system.

The commissioner will only vote to appropriate funds if she is convinced that the proportion of people who favor the measure is greater than 50%.

In conclusion, by conducting a hypothesis test, the commissioner can determine whether a majority of the people in her district favor the spending on a sewer system and make an informed decision based on the evidence.

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The height of the container if it's a cylinder with a radius of 3 cm is 5 cm.

The cost of coffee is $2.83.

The height of the container if it's a cylinder with a radius of 5 cm is 1.8 cm.

The cost of hot chocolate powder is $9.90.

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Picking a volume of 45π cm³, the height of this container is given by:

h = V/πr²

Height, h = 45π/π3²

Height, h = 5 cm.

For the cost of coffee, we have:

Cost of coffee = 45π cm³ × $0.02

Cost of coffee = $2.83.

When the radius is 5 cm, the height of this container is given by:

h = V/πr²

Height, h = 45π/π5²

Height, h = 1.8 cm.

For the cost of hot chocolate powder, we have:

Cost of hot chocolate powder = 45π cm³ × $0.07

Cost of hot chocolate powder = $9.90.

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Answer:

Multiplication

Step-by-step explanation:

The inverse operation of division is multiplication and vice versa.

I hope it helps! Have a great day!

Pan~

Answer:

Multiplication

Step-by-step explanation:

The inverse operation would be multiplication, and for multiplication it would be division.

I hope it helps! Have a great day!
bren~

Answer:

x = 2, y = 4

Step-by-step explanation:

Given

(x + 1, 8 ) = (3, 2y )

Equate the values in the x and y positions , that is

x + 1 = 3 ( subtract 1 from both sides )

x = 2

and

2y = 8 ( divide both sides by 2 )

y = 4

Answer:

(X+1,8)=(3,2y)

equating corresponding value we get

x+1=3

x=3-1=2

again

8=2y

y=8/2=4

x=2

y=4

Answer:

B I think

Step-by-step explanation:

Answer:

b^-6+11

b^5

Step-by-step explanation:

answer to your question is b^5

The equation to model the value of Maureen's car x years after purchase can be written in the form of y = a(b)^x , where y is the value of the car, x is the number of years after purchase, and a and b are constants.

Using the information given, we can find the values of a and b.

We know that the value of the car one year after purchase is $24,403.

So, we can substitute this value into the equation:

24403 = a(b)^1

We also know that the car's original value is $26,525

So we can substitute this value into the equation:

26525 = a

Now we can use these two equations to find the value of b

24403 = 26525 (b)^1

b = 24403 / 26525

b = 0.9153

So the final equation is:

y = 26525 (0.9153)^x

where y is the value of the car, x is the number of years after purchase, and a = 26525 and b = 0.9153

Answer:

-19.9 ft.

Step-by-step explanation:

Answer:

I think the answer is 19.9 if that's wrong I'm so sorry

If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.

According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.

The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.

This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.

Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.

The correct answer is b.

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9514 1404 393

Answer:

  4.17 hours

Step-by-step explanation:

The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...

  (2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h

It takes about 4.17 hours for light to travel from the sun to Neptune.

Answer: y=−6x

Step-by-step explanation: Add -2x to both sides.

Answer:

f(g(3)) = 26

Step-by-step explanation:

f(g(3))

g(3) = 2x + 3

= 2(3) + 3

= 6 + 3

= 9

f(9) = 3x - 1

= 3(9) - 1

= 27 - 1

= 26

A fair decision is made when outcomes are equally likely, while a biased decision occurs when certain outcomes are favored or more likely than others.

It seems that you are describing two types of decision-making scenarios: "fair decision" and "biased decision."

Fair Decision:

A fair decision is made when the outcomes of an event are considered to be equally likely. In this case, there is no favoritism towards any particular outcome, and the decision is based on an even playing field where each outcome has an equal chance of occurring.

Biased Decision:

A biased decision occurs when certain outcomes of an event are favored or more likely than others. This means that there is a preference or inclination towards specific outcomes, which can influence the decision-making process. Biases can arise due to various factors such as personal beliefs, preferences, or external influences.

It's important to note that biases can affect decision-making in both positive and negative ways. Biased decisions may lead to unfair treatment or inaccurate judgments if they are not based on objective and unbiased evaluation of the available information.

In summary, a fair decision is made when outcomes are equally likely, while a biased decision occurs when certain outcomes are favored or more likely than others.

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