Can someone please explain this.

Answer:

185

Step-by-step explanation:

Hope this helps

As the test's p-value above the 0.05 level of significance, we cannot reject the hypothesis.

X=97.77 is the mean on the PDI.

a )

The population standard deviation of the PDI:S = 14-69

The PDI sample size is n=70.

The test statistic value is

=X -μ/б-√n

97.77 - 100/14.69√70

Z = - 1.27

The test's p-value is 1.

Value of p = 2p (z - 1.27).

=2 ( = NORMSDIST (-1.27) )

= - 2 (0.1020 )

p-value = 0.2041

Since , the p -value of the test is greater the the 0.05 level of significance, so we fail to reject hypothesis

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \text{ \: ( \: 5 \: , \: 7 \: )}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: let \: the \: points \: be \: A \: and \: B}}\)

\( \star{ \sf{ \: Let \: A ( 2 , 10 ) \: be \: ( x1 , y1 ) \: and \: B ( 8 , 4 ) \: be \: ( x2 , y2 )

}}\)

\( \underline{ \sf{ \: Finding \: the \: midpoint}}\)

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}\)

\( \hookrightarrow{ \sf{Midpoint \: = \: ( \frac{2 + 8}{2} \: , \: \frac{10 + 4}{2}})} \)

\( \hookrightarrow{ \sf{Midpoint = ( \frac{10}{2} \: \: , \: \frac{14}{2} }})\)

\( \hookrightarrow{ \sf{Midpoint = (5 \: , \: 7}})\)

\( \text{Hope \: I \: helped !}\)

\( \text{Best \: regards !!}\)

~\( \text{TheAnimeGirl}\)

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

Answer:

I guess you forgot to attach something

Step-by-step explanation:

Hope it helps!!!

Answer:

what is mathematics in freshman course

The value of the k in the dimension of rectangle is 6 .

Rectangle 1 : 18 by 3

Rectangle 2 : 9 by 6

Given, that two rectangles have same area.

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2(l+b)

Here the dimension of rectangles are,

Rectangle 1 : 3k by 3

Area of rectangle 1 = 3k × 3

Area of rectangle 1 = 9k

Area of rectangle 2 = (k+3) × 6

Area of rectangle 2 = 6k + 18

Moreover the area of two rectangles are same. So equate the areas.

6k + 18 = 9k

3k = 18

k = 6

Thus the value of k in the dimensions of rectangle is 6.

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Answer:

-2 < x ≤ 4

Step-by-step explanation:

We are given the graph of a function that is a line segment, and we want to find the domain of it.

The domain is all of the x values where the function can exist.

Because this is a line segment, the domain is restricted to what is between the two endpoints.

This means that x is between the values of the endpoints.

We can see that the first endpoint is at (-2, -4), and that it is an open circle. This means that -2 is not included in the domain.

We can see the other endpoint is at (4,2) and it is a closed circle. This means that 4 is included in the domain.

So, we know that x (the domain) is between -2 (not included) and 4 (included).

We can write this as the following double inequality:
-2 < x ≤ 4

the answer should be 4 lbs

hope this helps

let me know please

A) 4/5 or 0.8

B)7

C)1/81

a quantity of interest that can take on different values is known as a(n)

variable.

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

Step-by-step explanation:

Global warming is the change in the climate of the earth causing it to heat up whereas the greenhouse effect is a naturally occurring phenomenon, constantly occurring due to the atmosphere and sunlight.

The Greenhouse effect is when the heat goes up into space, Greenhouse Gases, block the heat going into space, and it goes back to Earth. Global Warming is when the earth is overheated by Fossil fuels and Greenhouse gases causing the Greenhouse effect.

Global warming is the observation, and the atmospheric greenhouse effect is the explanation. The atmospheric greenhouse effect is a theory based on well-established physics that explains why the Earth has not been covered in ice for most of its history.

global warming and the greenhouse effect are not the same things. Global warming refers to a change in the Earth's climate that is causing it to heat up. The greenhouse effect, on the other hand, is a natural process that happens constantly, due to sunlight and the atmosphere.

Answer:

Step-by-step explanation:

The greenhouse effect occurs because the Earth's gasses trap the heat from the sun in our atmosphere. global warming is more than the greenhouse effect, many other things cause global warming INCLUDING the greenhouse effect. The greenhouse effect is trapping heat and global warming is when the global climate rises, partly due to the greenhouse effect.

To determine the greatest number of miles Kelly can travel with her $80 budget, we need to calculate the maximum number of miles she can afford based on the rental cost per mile.

Using the given information that the rental fee is $25 plus $1.50 per mile, we can set up an equation and solve for the number of miles.

Let's denote the number of miles traveled as 'm'. The total cost of renting the truck can be expressed as the sum of the one-time fee and the cost per mile: $25 + $1.50m.

Since Kelly has a budget of $80, we can set up an equation: $25 + $1.50m ≤ $80. To find the maximum number of miles, we need to solve this inequality for 'm'.

Subtracting $25 from both sides of the inequality gives: $1.50m ≤ $55.

To isolate 'm', we divide both sides of the inequality by $1.50: m ≤ 36.66.

Since we cannot have a fraction of a mile, the maximum number of miles Kelly can travel is 36 miles.

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The ordered pair that satisfy the solution to the system is (10, 1)

Linear inequalities are inequalities that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear inequalities is a collection of at least two linear inequalities

In this case, the system of inequalities is represented by the graph

The ordered pair that represents the solution to the system is the pair that is with in the shaded region of the inequalities

In this case, we have one of the ordered pairs to be

(x, y) = (10, 1)

Hence, the ordered pair that satisfy the solution to the system is (10, 1)

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Answer:it C

Step-by-step explanation:

An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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A) The best point estimate of the population P is 0.5399

B) The value of margin of error E.≈ 0.0267 (Round to four decimal places as needed)

C) A confidence interval is 0.5132 < p < 0.5666

A) The best point estimate of the population proportion (P) is calculated by dividing the number of respondents who said "yes" (x) by the total number of respondents (n).

In this case,

P = x/n = 557/1032 = 0.5399 (rounded to four decimal places).

B) The margin of error (E) is calculated using the formula: E = z * sqrt(P*(1-P)/n), where z represents the z-score associated with the desired confidence level. For a 99% confidence level, the z-score is approximately 2.576.

Plugging in the values,

E = 2.576 * sqrt(0.5399*(1-0.5399)/1032)

≈ 0.0267 (rounded to four decimal places).

C) To construct a confidence interval, we add and subtract the margin of error (E) from the point estimate (P). Thus, the 99% confidence interval is approximately 0.5399 - 0.0267 < p < 0.5399 + 0.0267. Simplifying, the confidence interval is 0.5132 < p < 0.5666 (rounded to four decimal places).

In summary, the best point estimate of the population proportion is 0.5399, the margin of error is approximately 0.0267, and the 99% confidence interval is 0.5132 < p < 0.5666.

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Answer:

No

Step-by-step explanation:

A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.

After answering the given query, we can state that  As a result, the size rectangle of the 8in x 5in drawing of the new garden is 0.8ft/in.

In Euclidean mathematics, a rectangle is a parallelogram with four small angles. Another way to characterize it is as a basic rule-following hexagon or one with equal angles. Another choice for the parallelogram is a straight angle. Four of the vertices in a rectangle have the same length. Four vertices with 90° angles and identical parallel sides make up a quadrilateral with a rectangle-shaped cross section. This leads to it being known as a "equirectangular rectangle" at times. A rectangle is occasionally referred to as a parallelogram because its two edges are so equal and parallel to one another.

The initial garden is 100 feet by 10 feet in size. The garden's new measurements will be as follows when each side is cut in half:

Length = 100 ft × 2/5 = 40 ft

Width = 10' × 2.5' = 4'

We can use the ratio of the length and width of the new garden to the length and width of the drawing to determine the size of the drawing for the new garden, which is depicted in 8in x 5in:

40 feet, 8 inches, equals 5 feet, per inch.

Scale of width: 4 ft. 5 in. equals 0.8 ft. per in.

As a result, the size of the 8in x 5in drawing of the new garden is 0.8ft/in.

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The correct graph for each of the equations are respectively;

5) Graph C

6) Graph A

7) Graph B

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

5) We are given the linear equation as;

-9x + 3y = 0

3y = 9x + 0

y = 3x + 0

The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C

6) We are given the linear equation as;

4x - 6y = 12

Rearranging we have;

6y = 4x - 12

y = ⁴/₆x - 2

y = ²/₃x - 2

Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A

7) The correct graph of the function 25x - 10y = -50 is the graph B.

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The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Answer:

if i'm right ted is 14 and ed is 21

Step-by-step explanation:

if ed is 7 years older than ted and is 3/2 times eds age, than we have to find out how much dose 2 represent in the equation 3/2 so we know that ed is seven years older than ted. so that means that if the equation 3/2 was 1/2, 1 would represent 7 years. (i hope your following me) so if 1 represents 7 than 2 must represent 14 and that would be the age of ted because in the equation 3/2 the 2 would represent teds age. and if the 2 represents teds age than 3 would be eds age. so 7 x 3 = 21.  (this is my first time answering a question so sorry if i'm confusing)

When Alec is paid $200 each month to mow the grass and weed the garden, this is a linear function.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

Here, Alec is paid $200 each month to mow the grass and weed the garden. In addition, he earns $6.50 per hour for the number of hours he works as a dishwasher at the local diner. This will be:

= 200 + 6.5h

This is a linear function.

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Answer:

Jennifer

Step-by-step explanation:

The domain of a function is the set of x-values that result in defined and real values for that function.

In this case the requirement was to plot a graph so that the domain is between -4 and 5 inclusive

We can represent this mathematically as -4 ≤ x ≤ 5

If you look at both graphs, Ashton's graph on the left has a minimum
x-value of -4 and a maximum x-value of 5. So his graph is correct

Carlie's graph on the right does have a minimum x-value of -4 but its maximum x-value is between 2 and 3. So this graph is incorrect

Therefore Jennifer's statement is correct

Answer: Jennifer

By using function, it can be calculated that

The value of f(8, 9) is 73

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the function is

f(a, b) = ab - (a - b)

f(8, 9) = 8 \(\times\) 9 - (8 - 9)

f(8, 9) = 72 + 1

f(8, 9) = 73

So the value of f(8, 9) is 73

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Answer:

I think 5q+3(8-q) =36 is the answer for this question

Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.

Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:

q + r = 8

5q + 3r = 36

The first equation can be rewritten as:

q + r = 8

r = 8 - q

Using substitution into the second formula we get:

5q + 3r = 36

5q + 3(8 - q) = 36

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Answer:

Step-by-step explanation:

The surface area of the rectangular prism is 166 in².

To arrive at the surface area, we will use the following formula which gets the area for the right, left, and bottom parts.

Surface Area = 2(wl+hl+hw)

Surface Area = 2 (6*2 + 9*2 + 9*6)

SA = 2(12 + 18 + 54)

SA =2(84)

SA = 166 in²

So, the surface area is 166 in².

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Answer:

a= -5

Explanation:

Rewrite the equation to be: 3^a=3^-1 / 3^4

Multiply by adding exponents :))

which would then be 3^a = 3^-5

Then, since the bases are the same then the a would equal negative (-) 5. :))

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