question 8, need help!!

Question 8, Need Help!!

Answers

Answer 1

Answer:

C. m = -3

Step-by-step explanation:

my answer is in the form y = mx + c

identify m which is -3.... but other ways would be relevant

Question 8, Need Help!!

Related Questions

find the inequality represented by the graph​

Answers

Answer:

First, find the function of the line:

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{0-3}{0-4} =\frac{-3}{-4}=\frac{3}{4}[/tex]y-intercept = 0

Therefore, the function is [tex]y=\frac{3}{4} x[/tex].

Since it's the area under the graph that's shaded(not ≥ or >) and the graphed line is dotted(not ≤ or ≥), then the inequality would be [tex]y<\frac{3}{4} x[/tex].

Which of the following is an example of exponential growth?
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly
B. A bacterial culture increases by 1,000 bacteria per day
C. The height of a tree increases by 2 feet each year
D. Water drips into a bucket at a rate of 2 pints each minute

Answers

An example of an exponential function is given as follows:

A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Determine the intercepts of the line.

Answers

Answer:

y-intercept = -55

x-intercept =25

Step-by-step explanation:

I know how to do this

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Answer:

The formula for iqr is q3 - q1

24

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.

The given parameters are:

Male:                                                               Female

[tex]Minimum = 0[/tex]                                                 [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex]                                                              [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex]                                                    [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex]                                                            [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex]                                               [tex]Maximum = 18[/tex]

A. IQR  for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex]  ----- Male dataset                                                    

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Read more about box plots at:

https://brainly.com/question/1523909

Helpppppppp pleaseeee!!!!!!!!

Answers

Answer:

29.5 square inches

Step-by-step explanation:

Let's divide the shape into 3 parts to make it easy for us to find the area.

- a wide triangle

- a triangle

- a shorter rectangle

For the wider rectangle, the area is;

A1 = 8 × 2 = 16 in²

For the triangle, the area is;

A2 = ½(7 - 2) × 3

A2 = 7.5 in²

For the shorter rectangle, the area is;

A3 = 3 × 2

A3 = 6 in²

Total area = A1 + A2 + A3 = 16 + 7.5 + 6 = 29.5 square inches

PLEASE HELP ME The graph below shows the distance, y, that a car traveled in x hours:
Rate of Travel
125
100
Distance Traveled
(miles)
75
501
251
0 1 2 3 4 5
Time (hours)
What is the rate of change for the relationship represented in the graph?
о
1
50
O
25
O 25
050

Answers

Answer:

25

Step-by-step explanation:

The graph is going up by 25 each block or point of the way, if im wrong, im sory

15. 4 + 2x = 4x - 20
What is the value of X?​

Answers

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex]4 + 2x = 4x - 20[/tex]

[tex]4 + 20 = 4x - 2x[/tex]

[tex]24 = 2x[/tex]

[tex]x = \frac{24}{2} [/tex]

[tex]x = 12[/tex]

Hope it is helpful....
Answer:

x = 12

Step-by-step explanation:

4 + 2x = 4x - 20

Add 20 to both sides

24 + 2x = 4x



24 + 2(12)= 4(12)

24 + 24 = 48

One person can do a certain job in 10 minutes and another person to the same job and 15 minutes how many minutes will it take to do the job together

Answers

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6

Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form​

Answers

Answer:

1.2 = 12/10 = 6/5

2.25 = 225/100 = 9/4

3.5 = 35/10 = 7/2

4.06 = 406/100 = 203/50

The area of each square below is 1 square unit.

Answers

Nooo es 3 squares ai ya ya tonta mira yo te explico mi tío me recarga diamantes del free fire

Match the vocabulary word to its correct definition.

1. mean
The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. population
An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
3. experiment
Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
4. sample
A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
5. bias
Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
6. survey
A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
7. random
A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

Answers

Answer:

1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.

2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.

3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.

4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.

5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.

6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.

Step-by-step explanation:

It says what each of them are in each paragraph, you just need to match them up.

Hope this helps :)

whats the differnce in (5x+4)-(x+2)

Answers

Answer:

4x+2

Step-by-step explanation:

(5x+4)-(x+2)=(5-1)*x+(4-2)=4x+2

If f(x) = VX – 9 and g(x) = -6x – 3,
which statement is true?

Answers

Answer:

7

Step-by-step explanation:

What is the largest 5-digit number that is a multiple of both 4 and 9?

Answers

Answer:

Step-by-step explanation:

The last two digits have to be divisible by 4

The entire number's digits have to add to a multiple of 9. So I will start with 99964

64 does not add up to a multiple of 9. so that's not the answer. 64 is divisible by 4 but not 9

Move on 99968 which has the same problem.

99972 works!!!!

You want to decrease a biscuit recipe by half the recipe calls for 1 1/2 cups of milk how much milk would you use

Answers

Answer:

3/4 cup of milk.

Step-by-step explanation:

1 1/2= 6/4. 6÷2=3.

Answer:

3/4

Step-by-step explanation:

Half the recipe means multiply by 1/2

1 1/2 * 1/2

Change the mixed number to an improper fraction

(2*1+1)/2 * 1/2

3/2 * 1/2

3/4

Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?

Answers

Explanation

a sanwich which is most commonly a square, has the side lengths of 5 and 5.

cuting this in half will give you a 45-45-90 triangle

the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]

so the hypotonuse is  5[tex]\sqrt{2}[/tex]

The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

How to calculate the length

Using the Pythagorean theorem, we can calculate the diagonal length as follows:

diagonal² = length² + height²

diagonal² = (5 inches)² + (3.5 inches)²

diagonal² = 37.25 inches²

Taking the square root of both sides, we find:

diagonal = √37.25 inches

Calculating the square root of 37.25, we get:

diagonal ≈ 6.106 inches

Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.

Learn more about length

https://brainly.com/question/28108430

#SPJ2

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return

Answers

Step-by-step explanation:

Hi there!

Given;

(x-9)² = 81........(i)

Take whole square right side;

(x-9) = ±√(81)

(x-9) = ±9

Therefore, the answer is option A.

Hope it helps!

The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest​

Answers

Answer:

3.33%

Step-by-step explanation:

Intrest = P. A. *Intrest Rate * Time

(1/3)*P. A. = P. A. *Intrest Rate * 10

Intrest Rate = 1/30)=3.33%

17’4” multiply by 17’5”

Answers

17/5×5/4=17/4

Hope this helps

HELP PLEASE SO I CAN MOVE ON

find the measure of the indicated angle to the nearest degree​

Answers

Answer:

16

Step-by-step explanation:

[tex] \tan(x) = \frac{13}{46} [/tex]

[tex] \tan {}^{ - 1} ( \frac{13}{46} ) = 16[/tex]

A pattern for a skirt calls for 1 7/8 yd of fabric. If Mary
Kate wants to make one skirt for herself and one for her
twin, how much fabric will she need?

Answers

Answer:

Mary Kate will need 3 6/8 yd of fabric.

Step-by-step explanation:

If Mary wants to make one skirt for herself AND her twin, that is equal to 2 skirts.

So if one skirt calls for 1 7/8 yd of fabric, multiply it by 2:

1 7/8 x 2

Convert 1 7/8 to an improper fraction and add 1 as a denominator for 2:

15/8 x 2/1 = 30/8

30/8 simplified is 3 6/8

Brainliest please?

Is the statement at the top true or false

Answers

Answer:

false

Step-by-step explanation:

these angles are horizonal

If S=4πr² , find
i) the value of S when r = 10

Answers

Answer:

S = 1256

Step-by-step explanation:

S = 4[tex]\pi[/tex][tex]r^2[/tex]

S = 4[tex]\pi[/tex][tex](10)^2[/tex]

S = 4[tex]\pi[/tex][tex](100)[/tex]

S = [tex]4(314)[/tex]

S = 1256

Answer:

400pi, or 1256.637...

Step-by-step explanation:

S = 4pir^2

S = 4pi(10^2)

S = 4pi(100)

S = 400pi

Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.​

Answers

x ³ = 1

x ³ - 1 = 0

x ³ - 1³ = 0

Factorize the right side as a difference of cubes:

(x - 1) (x ² + x + 1) = 0

Then

x - 1 = 0   or   x ² + x + 1 = 0

The first equation yields x = 1 as a root.

For the other equation, rearrange and complete the square to get the other two roots,

x ² + x + 1/4 = -3/4

(x + 1/2)² = -3/4

x + 1/2 = ±√(-3/4) = ± i √3/2

x = -1/2 ± i √3/2

x = (-1 ± i √3)/2

Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:

(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1

and adding to 1 indeed shows that the sum of roots is zero.

can someone please help me out marking brainliest

Answers

Vas happenin!
Hope your day is going well
2. C
3. B
4. A
5. D
6. A
Hope this helps *smiles*
Sorry if it’s wrong

Square root of 64 + cube root of 64 is​

Answers

Answer:

12

Step-by-step explanation:

[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]

= 8 + 4

= 12

Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]

Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]

So,

Square root of 64 + Cube root of 64

[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]

12 is the answer of the question asked.

____________

Hope it helps.

RainbowSalt2222

How do I find x and y?

Answers

Answer:

x = 20

y = 70

Step-by-step explanation:

Since B and D are parallel :

6x - 10 + 3x + 10 = 180 add/subtract like terms

9x = 180 divide both sides by 9

x = 20

angle represented by y and 6x - 10 are supplementary and their sum is 180

y + 6x - 10 = 180 replace x with 20

y + 6*20 - 10 = 180

y + 120 - 10 = 180

y + 110 = 180 subtract 110 from both sides

y = 70

In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?

Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%

Answers

Answer:

Between 86.6% and 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4%   90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%

6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.

Answers

Answer:

should be 15.

Step-by-step explanation:

We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus, 3, ), plus, 49 We can factor the expression as (U V)^2(U V) 2 (, U, plus, V, ), squared where UUU and VVV are either constant integers or single-variable expressions. 1) What are UUU and VVV

Answers

Answer:

[tex]U = x[/tex]

[tex]V=10[/tex]

Step-by-step explanation:

Given

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Required

Find U and V

We have:

[tex](x +3)^2 + 14(x + 3) + 49 = (U + V)^2[/tex]

Expand

[tex]x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2[/tex]

Collect like terms

[tex]x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2[/tex]

[tex]x^2 + 20x + 100 = (U + V)^2[/tex]

Expand

[tex]x^2 + 10x + 10x + 100 = (U + V)^2[/tex]

Group

[tex][x^2 + 10x] + [10x + 100] = (U + V)^2[/tex]

Factorize each group

[tex]x[x + 10] + 10[x + 10] = (U + V)^2[/tex]

Factor out x + 10

[tex][x + 10][x + 10] = (U + V)^2[/tex]

So, we have:

[tex][x + 10]^2 = (U + V)^2[/tex]

By comparison

[tex]U = x[/tex]

[tex]V=10[/tex]

Other Questions
In which of the following scenarios would it be most appropriate to see a nutritionist?A. Lucy is recovering from weight loss surgery and needs post-operative food guidance.B. Cole is leaving the hospital after having a feeding tube placed and needs help.C. Phillip's parents are concerned about treatment for managing his eating disorder.D. Rebecca would like advice on how to incorporate more nutritious foods into her diet. Find the length of UC? Please help the ordered pairs model an exponential function, where w is the function name and t is the input variable. {(1, 60), (2, 240), (3, 960), (4, 3840)} what is the function equation in sequence notation?wt = ____ Alexa has saved2/7of the cost of her trip to the Caribbean. Estimate how much money shehas left to save.A.3/4 of the costB.1/2 of the cost C.1 1/4 of the costD.1/4 of the cost Please round 1045.2 to three significant digits last week, we_______ ( have) dinner with a French family A homeowner was injured when an automatic cutoff switch failed to function on a snowblower he was using. The cutoff switch had functioned well for a year after he purchased the snowblower but failed after the machine had been improperly repaired by a mechanic. The snowblower's operating manual contained a clear and prominent warning against making the very alteration to the switch mechanism that was made by the mechanic. The mechanic, however, did not have a manual available when he repaired the snowblower. Does the homeowner have a viable claim against the manufacturer of the snowblower for damages We wish to develop a confidence interval for the population mean. The population follows the normal distribution, the standard deviation of the population is 3, and we have a sample of 10 observations. We decide to use the 90 percent level of confidence. The appropriate value of to represent the level of confidence is ________________. A scientist is researching Down Syndrome. He is studying what type of disease? a) What is the shopping trend among people nowadays A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate I)the length of the minorIi)Perimeter of the sector Iii)the area of the sector[take pi =22/7 A broker has an exclusive right-to-sell listing on a building. An offer to purchase the building is received while the owner is out of town. The offer requires a commitment from the seller before the seller is scheduled to return to the city. Under these circumstances, the give a short introduction of the Simrounagadh and Baise and Chaubise 1. 2. 3. 4. 5. I (meet) some friends while I (go) for a walk in the park near my house. Its easy . (contact) with him. You cant speak to my brother now. He (take).a bath. We are so excited because we (see). Dam Vinh Hung next week. We (live).here since I (be) 3 years old. The rock shown is made of light and dark mineral crystals that are evenlydistributedWhich phrase describes the most likely environment in which this rockformed?A. Very low temperature and very high pressureB. Very low temperature and pressureC. Very high temperature and very low pressureD. Very high temperature and pressure look at the image for the answer below? Question 7 of 10A construction worker needs to put a rectangular window in the side of abuilding. He knows from measuring that the top and bottom of the windowhave a width of 5 feet and the sides have a length of 12 feet. He alsomeasured one diagonal to be 13 feet. What is the length of the otherdiagonal?O A. 12 feetB. 13 feetO C. 5 feetO D. 17 feet You have just been hired as the director of operations for Reid Chocolates, a purveyor of exceptionally fine candies. Reid Chocolates is evaluating a kitchen layout under consideration for its recipe making and testing department. The strategy is to provide the best kitchen layout possible so that food scientists can devote their time and energy to product improvement, not wasted effort in the kitchen.Flow Refrigerator Counter Sink Storage StoveRefrigerator - 8 14 0 0Counter 7 - 4 4 8Sink 4 14 - 4 0Storage 3 0 0 - 5Stove 0 9 4 11 -For layout number one, the cumulative "loadtimesdistance" or "movementcost"equals=_____feet (enter your response as a whole number).For layout number two, the cumulative"loadtimesdistance" or "movement cost"= _________feet(enter your response as a whole number). What is the range of f(x)?{xl-2{x|-2{yl-5{yl-5 sy An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true