If repeated samples of yogurt sales were taken, according to the Central Limit Theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough.
Because the sample population is ________, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.
a.)negatively distributed
b.)positively distributed
c.)normally distributed

Answers

Answer 1

Because the sample population is normally distributed, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.

(this means that option c is correct).

What is defined by the Central Limit Theorem?

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], with mean and standard error given as follows:

Mean: [tex]\mu[/tex]Standard error: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

The Central Limit Theorem can be applied when at least one of these two conditions is true.

Underlying population has a normal distribution.The sample size is greater than 30.

In this problem, the sample size is of 15, which is less than 30, meaning that the Central Limit Theorem can be applied only because the underlying population is normally distributed, meaning that option c is correct.

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Related Questions

7. Return on equity will not change if the firm increases its use of debt.

Answers

The statement "Return on equity will not change if the firm increases its use of debt" is false.

What is return in equity?

Return on equity (ROE) is a financial ratio that shows how well a company is managing the capital that shareholders have invested in it. To calculate ROE, one would divide net income by shareholder equity.

Given is a statement, "Return on equity will not change if the firm increases its use of debt".

As we know that, The equity equals the assets minus total debt, a company decreases its equity by increasing the debt, or we can say, when debt increases, the equity decreases and since equity is ROE's denominator, ROE in turns gets a boost.

Hence, the statement "Return on equity will not change if the firm increases its use of debt" is false.

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25%498.60 how much in total

Answers

124.65

25 x 498.6 = 124.65

in three to five sentences explain your understanding of the algorithm express the algorithm in either detailed pseudocode or in program code establish the running time complexity of the algorithm by explaining how you arrived at it.

Answers

An algorithm for navigating or searching through tree or graph data structures is called depth-first search. The algorithm begins at the root node (choosing an arbitrary node to serve as the root node in the case of a graph) and proceeds to investigate each branch as far as it can go before turning around.

Thus, the basic concept is to begin at the root or any other random node, mark that node, then advance to the next nearby node that is not marked. This process is repeated until there are no more adjacent nodes that are unmarked. Then go back and look for more unmarked nodes to cross. Print the path's nodes lastly.

To solve the issue, adhere to the instructions listed below:

Make a recursive function that accepts a visited array and the node's index.

STEP -1

// C++ program to print DFS traversal from

// a given vertex in a given graph

#include <bits/stdc++.h>

using namespace std;

// Graph class represents a directed graph

// using adjacency list representation

class Graph {

public:

map<int, bool> visited;

map<int, list<int> > adj;

// function to add an edge to graph

void addEdge(int v, int w);

// DFS traversal of the vertices

// reachable from v

void DFS(int v);

};

void Graph::addEdge(int v, int w){

adj[v].push_back(w); // Add w to v’s list.}

void Graph::DFS(int v)

{

// Mark the current node as visited and

// print it

visited[v] = true;

cout << v << " ";

// Recur for all the vertices adjacent

// to this vertex

list<int>::iterator i;

for (i = adj[v].begin(); i != adj[v].end(); ++i)

if (!visited[*i])

DFS(*i);

}

// Driver's code

int main()

{

// Create a graph given in the above diagram

Graph g;

g.addEdge(0, 1);

g.addEdge(0, 2);

g.addEdge(1, 2);

g.addEdge(2, 0);

g.addEdge(2, 3);

g.addEdge(3, 3);

cout << "Following is Depth First Traversal"

" (starting from vertex 2) \n";

// Function call

g.DFS(2);

return 0;

STEP- 2

Time complexity: O(V + E), where V is the number of vertices and E is the number of edges in the graph.

Auxiliary Space: O(V), since an extra visited array of size V is required.

Pseudocode:

Depth_First_Search(matrix[ ][ ] ,source_node, visited, value)

{

If ( sourcce_node == value)                

return true // we found the value

visited[source_node] = True

for node in matrix[source_node]:

  If visited [ node ] == false

  Depth_first_search ( matrix, node, visited)

  end if

end for

return false //If it gets to this point, it means that all nodes have been explored.

                   //And we haven't located the value yet.

}

final answer-

A tree data structure or a graph's vertices can be searched using a recursive technique called t. Beginning with the first node of graph G, the depth-first search (DFS) algorithm digs down until it reaches the target node, also known as the node with no children.

The DFS method can be implemented using a stack data structure due to its recursive nature. The DFS algorithm implementation procedure is comparable to that of the BFS algorithm.

The following describes how to implement DFS traversal step-by-step. -

Create a stack with all of the graph's vertices in it first.

Select whatever vertex you want to use as the first vertex in the traverse, and add it to the stack.

uses for the DFS algorithm

The following list of uses for the DFS algorithm includes:

The topological sorting can be implemented using the DFS algorithm.

It can be applied to determine the routes connecting two vertices.

It can also be used to find graph cycles.

DFS technique is also applied to puzzles with a single solution.

If a graph is bipartite or not, it can be determined using DFS.

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if there are too many categories of statistics to present clearly on a graph, what is the next best option?

Answers

If there are too many categories of statistics to present clearly on a graph, then the next best option is a Chart.

Hence, option (a) is the correct choice.

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques.

Various Graph and Chart Formats for Data are the following:

Bar Graph: When one data label is lengthy or if there are more than ten things to compare, a bar graph should be used to reduce clutter.

Column Chart.

Line Graph.

Dual Axis Chart.

Area Chart.

Stacked Bar Chart.

Mekko Chart.

Pie Chart.

The chart is one of the most effective ways to categorise the data.

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May be the complete questions should be as follow:

if there are too many categories of statistics to present clearly on a graph, what is the next best option?

Bar graph

Column Chart.

Line Graph.

Stacked Bar Chart.

Mekko Chart.

solve the equation 1/3(x+6) = 1/2 (x-3) Show work pleaseee i need this now please help meeeee!!!!!!!!!!

Answers

Answer:

x = –24

[tex] \frac{1}{3(x + 6)} = \frac{1}{2(x - 3)} \\ \\ ⇒ \frac{1}{3x + 18} = \frac{1}{2x - 6} \\ \\ ⇒3x + 18 = 2x - 6 \: \\ \\ ⇒3x - 2x = - 6 - 18 \\ \\ ⇒x = - 24 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

Hope it helps you

Answer:

21.

Step-by-step explanation:

[tex]\frac{1}{3} (x+6)=\frac{1}{2} (x-3);\\\\6*\frac{1}{3} (x+6)=6*\frac{1}{2} (x-3);\\2(x+6)=3(x-3);\\2x+12=3x-9;\\x=21.[/tex]

7. Multiply the
polynomials.
(2x³ + 4x² − 5x)(x³ + 2x - 1)

Answers

2x⁶ + 4x⁵ - x⁴ + 6x² - 5x is the product of multiplying the polynomials (2x³ + 4x² − 5x)(x³ + 2x - 1).

Define multiplication.

Multiplication in elementary algebra is the process of figuring out what happens when a number is multiplied by itself. Each of the numbers and is referred to as a factor of the product, which is the outcome of a multiplication.

Given

Polynomial

(2x³ + 4x² − 5x)(x³ + 2x - 1)

Multiplying by distributive method,

2x³(x³ + 2x - 1) + 4x²(x³ + 2x - 1) - 5x(x³ + 2x -1)

2x⁶ + 4x⁴ - 2x³ + 4x⁵ + 2x³ - 4x² - 5x⁴ + 10x² - 5x

Adding polynomials with same powers

2x⁶ + 4x⁵ + 4x⁴ - 5x⁴ - 2x³ + 2x³ - 4x² + 10x² - 5x

2x⁶ + 4x⁵ - x⁴ + 6x² - 5x

2x⁶ + 4x⁵ - x⁴ + 6x² - 5x is the product of multiplying the polynomials (2x³ + 4x² − 5x)(x³ + 2x - 1).

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Factor x^3-125 as shown in the image attached

Answers

Answer:

Factored form is (x - 5) (x² + 5x + 25)

Step-by-step explanation:

You can get the factors directly by using the formula for a³ - b³.

a population grows exponential. if it was 3190 initially and after 4 years grew to 3605 what is formula?

Answers

The exponential formula that shows population is y = y₀ (1.031)ˣ.

What is an exponential function?

An exponential function is a function which can be defined as y = y₀ aˣ, Where 'x' is a variable and 'a' is a constant.

Given that,

The growth of population is exponential.

Also,

The initial population y₀ = 3190.

And after 4 year the population y = 3605.

Use exponential formula

y = y₀ aˣ     (1)

Where x = time

Substitute the values in the formula,

3605 = 3190 a⁴

3605/3190 = a⁴

1.13009  = a⁴

a = 1.031

Substitute the value of a in equation (1),

y = y₀ (1.031)ˣ

The required formula is y = y₀ (1.031)ˣ.

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North Pole 3. Write an equation of a line that is parallel to the line y = 4x + 7 and
passes through point (3, 2)

Answers

Y-2 = 4(x -3)
Y = 4x -10
First is point slope form and second is slope intercept. Parallel lines have the same slope btw

14=6+z over -2 whats the answer please i need help

Answers

Answer:

Hi!

If you're trying to solve for z, the answer would be -34.

I hope this helps you :)

Question In △XYZ, A is the midpoint of XY¯¯¯¯¯¯¯¯, B is the midpoint of YZ¯¯¯¯¯¯¯, and C is the midpoint of XZ¯¯¯¯¯¯¯¯. AC = 7, AB = 5, and XY = 24. What is the perimeter of △XYZ? Enter your answer in the box. Perimeter = units

Answers

The perimeter of triangle XYZ is 48 units

What is the perimeter of a triangle?

The total of a triangle's sides equals the triangle's perimeter. The space encircled by a triangle's three sides is known as its area.

Here, we have

In The triangle XYZ

A is the midpoint of XY

B is the midpoint of YZ

AB = 1/2 XZ

AB = 5 units

Substitute the value of XZ in AB

5 = 1/2 × XZ

XZ = 10 units

B is the midpoint of YZ

C is the midpoint of XZ

BC =  1/2 XY

XY = 24 units

BC = 1/2 × 24 = 12 units

A is the midpoint of XY

C is the midpoint of XZ

AC = 1/2 YZ

AC = 7

7 = 1/2 YZ

YZ = 14

The perimeter of a triangle = the sum of the lengths of its sides

Perimeter ΔXYZ = XY + YZ + ZX

Perimeter ΔXYZ = 24 + 14 + 10

Hence, the perimeter of triangle XYZ is 48 units

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in the equation y = 75 - 6x, what is the slope and what is the y-intercept ?

Answers

The slope and y intercept of the equation are -6 and 75 respectively.

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, the equation of a line is y = 75 - 6x

Comparing to the standard equation of the line, y = mx+c

m = slope and c is the y intercept.

In the equation, we can see,

The slope (m) = -6

The y intercept (put x = 0) = y = 75 - 6x0

y = 75

Hence, the slope is -6 and y intercept is 75.

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Your friend asks for help on the following question:
Solve the system of equations using substitution:
x+7 y=0
2 x-8 y=22
Your friend says they want to rearrange the first equation for x and get x=-7 y, but now they are stuck. What needs to be done next?________
After doing this, you will now have______________
You tell your friend to remember that substitution means to replace. So we are replacing _____ with_________
Final answer is________

Answers

Answer:

(7,-1)

Step-by-step explanation:

x + 7y = 0

x = -7y  Substitute -7y for x

2x -8y = 22

2(-7y) - 8y = 22

-14y - 8y = 22

-22y = 22  Divide both sides by -1

y = -1

Solve for x:

x - -7y

x = -7(-1)

x = 7

(7,-1)

Please help me with this and show work!! I’ll give brainliest

Answers

Answer:

The original price of the tie was 20 dollars

Step-by-step explanation:

The price of the t-shirt was originally 24, but because he bought it on sale, he would have payed 12 because 24x.5=12.  This means we can subtract the value payed for the shirt from the total money payed. 22(total)-12(shirt)=.  10 (tie). However, 10 is the price he payed for the tie, not its original value. We can find this by multiplying 10x2, which gives us our answer.

Answer:

20 dollars is the original price

I need the answer
2x+3y+7x+4y

Answers

Answer:

The correct answer to this expression is 9x + 7y. To find this answer, you need to combine like terms. This means that you need to add together any terms that have the same variable and coefficient. In this case, the expression has two terms with the variable x and two terms with the variable y. The coefficients of the x terms are 2 and 7, and the coefficients of the y terms are 3 and 4. To combine these terms, you need to add the coefficients of the x terms together to get 9, and add the coefficients of the y terms together to get 7. Therefore, the combined expression is 9x + 7y.

I NEED HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

[tex]\textsf {Square both sides:}\\\\(\sqrt{3x+12} )^2 = 3x + 12\\\\(\sqrt{x+8} )^2 = x + 8[/tex]

(The square of the square root of a value is the value itself

[tex](\sqrt{x} )^2 \;is\;x[/tex])

The original identity then becomes
[tex]3x + 12 = x + 8\\\\3x - x = 8 - 12\\\\2x = -4\\\\x = -4/2\\\\x = -2[/tex]

A rally car race course covers 631.95 miles. The winning car completed the course in 7.5 hours. What was the average speed of the winning car?

Answers

The average speed of the winning car is  79.38 miles per hour.

Given : Distance covered by rally car race course = 515.97 miles

Time taken to complete the course by winning car = 6.5 hours

The average speed of the winning car = ( Distance covered by rally car race course) ÷  (Time taken to complete the course by winning car)

= (515.97)÷ (6.5) miles per hour

= 79.38 miles per hour

Hence, the average speed of the winning car =  79.38 miles per hour.

What is average speed?Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.Average speed combines two ideas in two words: average, meaning a mean derived from a lot of individual data points, and speed, which is a change in position.You can calculate the average speed for any type of motion if you can time the motion and measure the distance.

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A battery producer claimed that the mean lifetime of a battery produced by his factory was 30 hours. A competitor thought that the figure was too high and took 8 batteries at random and the lifetime of each is as follows:
a) Can the claim by the battery producer be accepted at the 5% significant level? b) Can the claim by the battery producer be accepted at the 20% significant level?​

Answers

The claim of the producer can be accepted at 5% significant level since the 30 hours is within 21.8118 < X < 30.932

The claim of the producer cannot be accepted at 20% significant level since the 30 hours is not within 23.648 < X < 29.102

How to check the claim of the producer

The claim is done using t score as the sample is less than 30. the formula for t scores is as follows

= x-bar ± t(s/√n)

from the given data the mean is calculated

sample mean, x-bar = (15 + 28 + 33 + 24 + 28 + 25 + 31 + 27) / 8

= 211/8

= 26.375

sample standard deviation, s

variance = (15 - 26.375)² + (28 - 26.375)² + (33 - 26.375)² + (24 - 26.375)² + (28 - 26.375)² + (25 - 26.375)² + (31 - 26.375)² + (27 - 26.375)²) / (8 - 1)

= 207.875 / 7

= 29.696

standard deviation = √variance

= √29.6964

= 5.45

Definition of variables

mean, x-bar = 26.375

standard deviation, s = 5.45

sample size, n = 8

significance level = 5%

confidence level = 1 - significance level = 1 -  0.05 = 0.95 = 95%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 8 - 1 =7

t score for 95% confidence level and df of 7  = 2.365

substituting into the formula

= x-bar ± t(s/√n)

= 26.375 ± 2.365 (5.45 / √8)

= 26.375 ± 4.557

= 21.8118 < X < 30.932

t score for 20% significant level and df of 7 = 1.415

substituting into the formula

= x-bar ± t(s/√n)

= 26.375 ± 1.415 (5.45 / √8)

= 26.375 ± 2.727

= 23.648 < X < 29.102

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What is the greatest common factor of 18, 24, and 40?

2

3

4

8

Answers

Answer:

  (a)  2

Step-by-step explanation:

You want the greatest common factor of 18, 24, 40.

Factors

The prime factorization of these numbers is ...

18 = 2 · 3²24 = 2³ · 340 = 2³ · 5

The only common factor is 2.

2 is the greatest common factor of 18, 24, and 40.

A person's body mass index, B, is directly proportional their weight, w, and inversely proportional to the square of their height, h. a. (6 points) Write a single equation to express the proportionality relationship, using k as the constant of proportionality. b. (6 points) A 70 inch tall person who weighs 198 pounds has a body mass index of 28.4

Answers

The proportionality constant, k, in this case is 0.00043.

a. The proportionality relationship between body mass index (B), weight (w), and height (h) can be expressed as follows:

B ∝ w * [tex]h^{-2[/tex]

where k is the constant of proportionality.

b. To find the value of the constant of proportionality, k, we can substitute the known values into the equation and solve for k.

28.4 = k * 198 * [tex]70^{-2[/tex]

Solving for k gives:

k = 0.00043

Therefore, the proportionality constant, k, in this case is 0.00043.

A proportionality constant is a number that is used to indicate the ratio of two different variables that are proportional to each other. It is also known as a scaling factor or a constant of proportionality. It is usually represented by the letter k.

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A line passes through point (-6, 1) and has a slope of 4/3 write an equation in Ax+By=C

Answers

The equation in the form Ax+ By=C is 4x-3y=27 if the line passes through the point (-6, 1) and slope is 4/3.

What is meant by an equation?

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. The word equation and its translations in several languages might have slightly different meanings. For instance, in French, an equation is defined as including one or more variables, whereas in English, an equation is defined as any properly expressed formula that consists of two expressions joined by the equals sign.

The values of the variables that must fulfill the equality to make up the solution are referred to as the unknowns, together with the variables for which the equation must be solved.

Given point is (-6, 1)

Slope m=4/3

The equation of the line is:

y-y₁=m(x-x₁)

y-1=(4/3)(x+6)

3y-3=4x+24

4x-3y=27

Therefore, the equation in the form Ax+ By=C is 4x-3y=27

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Suppose that the supply of x units of a product at price p dollars per unit is given by the following. 30 +90 In(4x +5) p (a) Find the rate of change of supply price with respect to the number of units supplied. dp dx (b) Find the rate of change of supply price when the number of units is 30. $ (c) Approximate the price increase associated with the number of units supplied changing from 30 to 31. $ Need Help? Talk to a Tutor Rea Watch It Read It

Answers

For part (a), we need to find the derivative of the supply equation with respect to the number of units, x.

The supply equation is given by:

S(x) = 30 + 90p * In(4x + 5)

To find the derivative of S(x) with respect to x, we can use the chain rule:

[tex]\frac{dS(x)}{dx} =\frac{dS(x)}{dp}*\frac{dp}{dx}[/tex]

Since the derivative of S(x) with respect to p is 90 * In(4x + 5), we can substitute this into the equation above:

[tex]\frac{dS}{dx}=(90*ln(4x+5))*(\frac{dp}{dx} )[/tex]

This gives us the expression for the rate of change of supply price with respect to the number of units supplied.

For part (b), we need to find the rate of change of supply price when the number of units is 30. Substituting x = 30 into the equation above gives us:

[tex]\frac{Ds(30)}{dx} = (90*ln(4*30+5))*\frac{dp}{dx}[/tex]

For part (c), we need to approximate the price increase associated with the number of units supplied changing from 30 to 31. To do this, we can use the equation from part (a) to find the rate of change of supply price with respect to the number of units supplied and then multiply this rate by the change in the number of units (from 30 to 31).

The approximate price increase is given by:

[tex]\frac{dS(x)}{dx} *(x2-x1)=\frac{dS(x)}{dx}*(31-30)[/tex]

Substituting the appropriate values into this equation will give us the approximate price increase associated with the number of units changing from 30 to 31.

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PLEASE HELP WILL GIVE BRAINLIEST

Solve the equation.
log base (3) of (81) = 3x+5

Answers

there you go i think

Find x to the nearest tenth.

Answers

After using trigonometric function the value of to the nearest tenth digit is 11.11

What is Trigonometric function ?

Trigonometric functions are mathematical functions that are used to describe relationships between certain angles and lengths in a triangle. They are based on the ratios of the sides of a right triangle and are used in a variety of applications including surveying, navigation, engineering, and physics. Trigonometric functions are commonly referred to as sine, cosine, tangent, cotangent, secant, and cosecant. Each of these functions can be used to calculate the angle of a triangle, the length of the sides, or the area of the triangle.

Function of Sine

The ratio of the opposing side's length to the hypotenuse is known as an angle's sine function.
Sin a =Opp/Hypot = CB/CA

Cos Function
The cosine of an angle is the ratio of the neighbouring side's length to the hypotenuse's length.
Adjacent/Hypotenuse = AB/CA is the cosine of.

Functional Tan
The ratio of the lengths of the adjacent and opposing sides is known as the tangent function. It should be noted that the ratio of sine and cosine to the tan may also be used to express the tan.
Tan a = Opposite/Adjacent = CB/BA
In terms of sine and cos, tan is also equivalent to:
Tan = cos a/sin a
Sin 46° = 8/x
x = 8/Sin 46°
x= 8/0.72
x=11.11

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landon's ice cream machine produced 1.2 cups of ice cream in 3 minutes. If it produced the same amount each minute, how much ice cream did the machine produce during the 2nd minute?

Answers

The ice cream that the machine produces during the 2nd minute will be 0.8 cups of ice cream.

How to illustrate the rate?

Rate demonstrates how many times one number can fit into another number. They contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Typically, a rate is defined as the ratio of two quantities expressed in different units. The first quantity is typically written as the numerator of a fraction, and the second quantity is written as the denominator. By condensing them into the simplest form possible, we can calculate the rate.

A rate is a ratio that contrasts two distinct quantities represented by various units. A comparison of two numbers with various quantities or units is called a rate. A ratio or a rate out of 100 is what is known as a percentage.

Here, landon's ice cream machine produced 1.2 cups of ice cream in 3 minutes. If it produced the same amount each minute, the ice cream that the machine produces during the 2nd minute will be:

= (1.2 / 3) × 2

= 0.4 × 2

= 0.8 cups.

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use the following information to determine the value of river gardens' common stock: a. expected dividend payout ratio is 45%. b. expected dividend growth rate is 6.5%. c. river gardens' required return is 12.4%. d. expected earnings per share next year are $3.25.

Answers

The value of river garden's common stock is $24.79.

What is the value of the common stock?

In order to determine the value of the common stock, the constant dividend model would be used.

According to this model, the value of a common stock is determined by its dividend, the growth rate and the required return.

Value of the stock = Dividend / (required return - growth rate)

The first step is to determine the dividend of the common stock.

Dividend = pay out ratio x expected earnings

Dividend = 0.45 x $3.25

Dividend = $1.46250

Value of the stock = $1.46250 / (0.124 - 0.065)

Value of the stock = $24.79

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5. You use a line of best fit for a set of data to make a prediction about an unknown value. The
correlation coefficient for your data set is -0.993. How confident can you be that your
predicted value will be reasonably close to the actual value?

Answers

Answer: The correlation coefficient is a measure of the strength and direction of the relationship between two variables. A correlation coefficient of -0.993 indicates a very strong negative relationship, which means that as one variable increases, the other variable decreases. This suggests that you can be quite confident that your predicted value will be reasonably close to the actual value.

Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 56% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass.

(Assume the trials are independent.)

(a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)


(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)

Answers

a) The probability that Cathy passes the CPA on the first try is of: 0.56 = 56%.

b) The probability that Cathy passes the CPA exam on the second or third try is of: 0.3548 = 35.48%.

How to calculate the probabilities?

A probability is the division of the number of desired outcomes by the number of total outcomes.

56% of students who graduated pass the CPA exam, hence the probability of passing on each test, including the first, is of:

0.56 = 56%.

Then the probabilities for the second or the third test are given as follows:

Second: fails with 0.44 probability then passes with 0.56 probability.Third: fails the first two, each with 0.44 probability, then passes with 0.56 probability.

Then the probability that Cathy passes the CPA exam on the second or third try is calculated as follows:

p = 0.44 x 0.56 + 0.44² x 0.56 = 0.3548 = 35.48%.

More can be learned about probabilities at https://brainly.com/question/14398287

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P1.Suppose that the US population is growing by 0.94% each year and continues to grow at this rate everyyear.a. What is the overall growth factor for 30 years of population growth? (Round to 4 decimalplaces.) By what overall percentage will the US population grow over the next 30 years? (Roundto 2 decimal places.)

Answers

Answer:

Below

Step-by-step explanation:

.94 % is .0094 in decimal

   this exponential growth is like a bank account compounded yearly

         factor =  ( 1+.0094)^30  = 1.3240  

                   which would represent 32.40% growth

Question 1
Two months ago, a car dealership sold 30 red cars and 120 cars that were not red. Last
month the car dealership sold a total of 200 cars. Tarik predicts that the dealership sold
45 red cars last month. Do you think this is a reasonable prediction? Explain.

Answers

Answer:

Yes this is a resendable prediction

Step-by-step explanation:

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