exercise 8.25 presents regression output from a model for predicting annual murders per million from percentage living in poverty based on a random sample of 20 metropolitan areas. the model output is also provided below.

If company's marginal cost function is c(x)= 14 / √x, the total cost of producing the first 25 units is $10.67.

The marginal cost function is given as c(x) = 14 / √x, where x is the number of units produced.

To find the total cost of producing the first 25 units, we need to integrate the marginal cost function from x=0 to x=25, as follows:

Total cost = ∫₀²⁵ 14 / √x dx

We can use integration by substitution to solve this integral. Let u = √x, then du/dx = 1/(2√x), and dx = 2u du. Substituting these into the integral, we get:

Total cost = ∫₀⁵ √14/u du

This can be integrated using the power rule of integration. We have:

Total cost = 2√14 [\(u^{(3/2)\)/3]₀⁵

Substituting back u = √x, we get:

Total cost = 2√14 [\((\sqrt{x})^{(3/2)\)/3]₀²⁵

= 2√14 [\((\sqrt{25})^{(3/2)\)/3 - \((\sqrt{0})^{(3/2)\)/3]

= 2√14 (5/3)

= 10.67

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Answer: First option, the graph of the relation passes the vertical line test.

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the x-values) into elements from another set (the range, the y-values)

Where the only condition we have is that each element from the domain can be mapped into only one element from the range.

So if we draw a vertical line at any point of the graph, it can intersect the graph of the function a maximum of one time. (this is known as the vertical line test)

Then the correct option is that the graph of the relation passes the vertical line test.

follow me please .........

Answer:

............................

Step-by-step explanation:

.,.,.,.,.,.,.,.,.,,,,,.,.,.،.،.،.،.،.

Answer:

true

Step-by-step explanation:

the line is going down. if it was positive then it would be going from left all to right going up.

Answer:

Yes

Step-by-step explanation:

A slope is "change in y divided by change in x"

If the change in x is +2 then (if you look at the graph) you see that the change in y will be -1.

Since "change in y divided by change in x" is the slope. Change in y is -1 and change in x is +2.

-1 / 2 = -0.5

and there you have it!

The slope is -0.5, which is a negative number. So the slope is negative.

Hope i was of help :D

Dont be scared to ask me any questions if you didn't understand!

\(4\times5+(14+8)-36\div9\)

\(4\times5=20\)

\((14+8)=22\)

\(36\div9=4\)

\(20+22-4\\42-4\\=38\)

Answer:

38

Step-by-step explanation:

This Question tests on the concept of Order of Operations.

Operators are all symbols you see in Numerical expressions: + × ÷ - () , and a lot more.

The Order of them always will come this way: Brackets > Multiplication / Division > Additio / Subtraction (Always Solving from Left to Right.)

Example: 4 + 4 × 7 - 24 + (5 - 3)

\(4 + 4 \times 7 - 24 + (5 - 3) \\ = 4 + 4 \times 7 - 24 + 2 \\ = 4 + 28 - 24 + 2 \\ = 32 - 24 + 2 \\ = 8 + 2 \\ = 10\)

Using the concept, we can solve for the value in the expression in the question:

\(4 \times 5 + (14 + 8) - 36 \div 9 \\ = 4 \times 5 + 22 - 36 \div 9 \\ = 20 + 22 - 4 \\ = 42 - 4 \\ = 38\)

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

If f(x)= √(x−1) and g(x)=12x+5, then the value of (f∘g)(2) is 2√7.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find the value of (f∘g)(2), we first need to evaluate g(2), and then use the result as the input for f.

So,

g(2) = 12(2) + 5 = 24 + 5 = 29

Now, we use the value g(2) = 29 as the input for f:

f(g(2)) = f(29)

Since f(x) = √(x-1), we have:

f(29) = √(29-1) = √28 = 2√7

Therefore, the value of (f∘g)(2) is 2√7.

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The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

Step-by-step explanation:

Given:

LP = 27

LM = NP

MN = 3

16). LP = LM + MN + NP

      27 = LM + 3 + LM

      27 = 3 + 2(LM)

      LM = 12

17). Since, LM = NP

      NP = 12

18). Since, MP = MN + NP

     MP = 3 + 12

     MP = 15

19). NL = LM + MN

     NL = 12 + 3

     NL = 15

Answer:

4.5 quarts, because one cup is 0.25 quarts

Step-by-step explanation:

Answer: 6 pounds and 12 pounds.

Step-by-step explanation:

1.5(x)+2.4(18-x)=2.1(18)

1.5x+43.2-2.4x=37.8

1.5x+43.2=37.8+2.4x

0.9x=5.4

x=6 pounds of $1.50 candy

18-6=12 pounds of $2.40 candy

(check my work to see if it's correct :))

Answer:

A) y=9x

B) y=45 when x=5

Step-by-step explanation:

Part A

\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)

Part B

\(y=9(5)\\y=45\)

Answer:

Step-by-step explanation:

1. Find the system for 2x+3y=5 and 3x+y=6 using substition.

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=6;2x+3y=5

Step: Solve3x+y=6for y:

3x+y+−3x=6+−3x(Add -3x to both sides)

y=−3x+6

Step: Substitute−3x+6foryin2x+3y=5:

2x+3y=5

2x+3(−3x+6)=5

−7x+18=5(Simplify both sides of the equation)

−7x+18+−18=5+−18(Add -18 to both sides)

−7x=−13 (Divide both sides by -7)

x=\(\frac{13}{7}\)

Step: Substitute \(\frac{13}{7}\) forxiny=−3x+6

y=−3x+6

y=−3(\(\frac{13}{7}\))+6

y=\(\frac{3}{7}\)

2. Let's solve your system by elimination.

3x+y=6;2x+3y=5

Multiply the first equation by -3,and multiply the second equation by 1.

−3(3x+y=6)

1(2x+3y=5)

Becomes:

−9x−3y=−18

2x+3y=5

Add these equations to eliminate y:

−7x=−13

Then solve−7x=−13for x:

−7x=−13 (Divide both sides by -7)

x=\(\frac{13}{7}\)

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=6

Substitute\(\frac{13}{7}\) forxin3x+y=6

3(\(\frac{13}{7}\))=6 (Simplify both sides of the equation)

y+39/7+−39/7=6+−39/7 (Add (-39)/7 to both sides)

y=\(\frac{3}{7}\)

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer:

1) A

2) B

3) D

4) B

Step-by-step explanation:

1) Because 1 mile is 5280 feet one half of the proportion has to be 1/5280. The other half is 5/x

2) Multiply 1/2 * (10/2.5). This gets you 2

3) First find 4.5% of 545.00 (Multiply 545*.045) This gets you 24.525. Add this to 545, and you get 569.525. This can be rounded to $569.53

4) There seem to be 5 players for each coach. If there are 80 players, divide 80 by 5 to get the number of coaches. The final answer is 16

Answer:

1.) A.-  \(\frac{5}{x}\)

2.) B.-  2

3.) D.- 569.53

4.) B.- 16

Step-by-step explanation:

-1.) His placement needs to be the denominator To be counted, Only Option "A." Has his value

-2.) Pints = 0.125-US liquid Gallon- For 10 gallons of gas he would need 2 Pints

-3.) Bringing 545.00 up by 45% Would leave us with- 569.53

-4.) We would need 16 couches for 80 softball players

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same. I hope this helps!!

Answer:

the answer is c my good sir or mam

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Answer: p= 5 miles

Step-by-step explanation:

20/4 = 5

Answer:

P would equal 5 because all the sides are equal and since they are equal and the perimeter is 20 you would do 5+5+5+5=20

To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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1.

From the graphs we can see:

So, he can purchase 3.375yd of blue fabric and 6.125yd of green fabric

2. Because the solution represents the values which satisfies the system of equations, a different value will result in an absurd answer

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.

if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.

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Answer:

See below

Step-by-step explanation:

-20 - (-16) = -20 + 16 = - 4

-8 - 27 = - 35

20 - (-20) = 20 + 20 = 40

8.12 * .5 = 4.06

11.5 * 2.4 = 27.6

42.5 / .5 = 85

28.2 / .04 = 705

3 1/3  / 1 1/4 = 2  2/3

3/8 ÷ 3/5   = 3/ 8  X 5/3 = 15/24 = 5/8

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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