A market analyst has projected that the cost of producing d dog leashes will be given by the polynomia
12,000+ 1.9d. The revenue generated from the sale of d dog leashes will be given by the polynomial
d(13.5 -0.00008d). Find a polynomial expression for the profit earned from producing and selling d dog
leashes. Evaluate the expression for d = 29,000.

Answers

Answer 1

Using the profit concept, it is found that the expression is given by:

P(d) = -0.00008d² + 11.6d - 12000.

When d = 29,000, P(d) = 257,120.

How to find the profit?

The profit is the subtraction of the revenues by the cost.

In this problem, we have that the revenues and the cost are given, respectively, by:

R(d) = d(13.5 - 0.00008d).C(d) = 12000 + 1.9d.

Hence the expression for the profit is given by:

P(d) = R(d) - C(d)

P(d) = -0.00008d² + 11.6d - 12000.

When d = 29000, the value of the expression is given by:

P(29000) = -0.00008(29000)² + 11.6(29000) - 12000 = 257,120.

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Related Questions

Multiply mixed numbers 5 times 1 3/4=

Answers

Answer: 8.75 is your answer

Answer:

8 3/4

Step-by-step explanation:

(help) Miller’s Farm had apples on sale for $1.78 a pound. Maria spent $15.21 on apples. How many pounds did she buy?

Answers

Answer:

8.5 pounds

Step-by-step explanation:

$ 1.78 - 1 pound

$ 15.21 - 15.21/1.78

= 8.5

m∠A=5x° . m∠B=(3x−4)° m∠C=90° What is the value of x?

Answers

Answer:

6

Step-by-step explanation:

Answer:

11.75

Step-by-step explanation:

the angles of a triangle should add to 180

5x + 3x - 4 +90 = 180

now solve for x

8x = 94

94/8 = 11.75

Aerin's friend Fritz gives her a riddle to solve about the ages of the people in his family. There are 5 people in Fritz's family: Mom, Dad, his sisters Adele and Erika, and Fritz. Here are the clues to the puzzle. 1) Mom is 8 years younger than Dad. 2) Dad is 2 times as old as Fritz. 3) Adele is 4 years old. 4) Fritz's age plus Adele's age equals Erika's age. 5) Mom was 24 when Erika was born. 6) In 9 years, Mom will be twice as old as Erika will be. All the ages are whole numbers. Aerin decides to use variable for the unknown ages and write equations to express the information. M

Answers

Answer:

Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

Step-by-step explanation:

Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.

Given that

1) Mom is 8 years younger than Dad, we have D = M + 8   (1)

2) Dad is 2 times as old as Fritz. D = 2F   (2)

3) Adele is 4 years old. A = 4     (3)

4) Fritz's age plus Adele's age equals Erika's age. F + A = E   (4)

5) Mom was 24 when Erika was born. M = E + 24    (5)

6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9)   (6)

Substituting (5) into (6), we have

E + 24 + 9 = 2(E + 9)

E + 33 = 2E + 18

subtracting E from both sides, we have

2E - E + 18 = 33 + E - E

E + 18 = 33

subtracting 18 from both sides, we have

E + 18 - 18 = 33 - 18

E = 15

M = 15 + 24 = 15 + 24 = 39

From (4) F = E - A = 15 - 4 = 11

From (1) D = M + 8 = 39 + 8 = 47

So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

An art teacher has 12\tfrac{4}{5}12
5
4

gallons of paint to pour into containers. If each container holds \tfrac{4}{5}
5
4

gallon, how many containers can they fill?

Answers

By taking the quotient between the total volume of paint and the volume needed to fill a container we can see that 16 containers can be filled.

How many containers can be filled?

We know that the art teacher has 12 + 4/5 gallons of paint, and we know that it requires 4/5 gallons to fill a single container.

Then the number of containers that can be filled is equal to the quotient between the total volume of paint and the volume needed fill a single container, it gives:

(12 + 4/5)/(4/5) = 16

So 16 containers can be totally filled.

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please answer my question

please answer my question

Answers

Graph 1:

(-infinity, 2) U [3, infinity)

Graph 2:

{-8, -2} U (3, 8]

Graph 3:

(-infinity, 3) U (3, infinity)

Graph 4:

(-8, -2) or {3}

Graph 5:

(-8, -2) U (-2, infinity)

Hope this helps!

OK so I need to know what 96÷6 is and I know it is 16 but I need to know how to do it in long division can anyone help me

OK so I need to know what 966 is and I know it is 16 but I need to know how to do it in long division

Answers

Answer:

   16

 ____________

6| 96

  -6 |

       V

    36

  - 36

     0

6 goes into 9 one time because 9-6=3 so there is 1 six in 9. Write 1 at the top because you have 1 6.

Subtract the 6 and you get 3

Bring the 6 from 96 down

you get 36

6 goes into 36 6 times because 36-6-6-6-6-6-6=0 so write a 6 at the top and you get 16 because of the previous 1.

Subtract 36 by 36 to get 0

Hope this helps

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

You have to take each number in the dividend (number being divided) and divide it by the number in the divisor (number that is dividing). Here you would take 9, the first number in the dividend and divide it by 6, and you would put that in the first space of the quotient (answer). You would then take that number and multiply it by 6 and place it in the space below. Subtract 6 from 9 and get 3. Drop down the 6 to get 36. Take 36 and divide that by the divisor 6 and get 6 next to the number 1 you calculated earlier to get your answer 16. Take 6 and multiply it back to get 36 and subtract it from 36 to get a remainder of 0.

I showed how to do it visually in the attachment just in case this explanation didn't make any sense

OK so I need to know what 966 is and I know it is 16 but I need to know how to do it in long division

the weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G
a. For the bell-shaped graph Of the normal distribution of weights of Hershey kisses what is the area under the curve?
b. What is the value of the median?
c. What is the value of the mode?
d. What is the value of the variance?

Answers

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

\(\int\limits^{\infty}_{-\infty} {f(x)} \, dx\)= 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = \((0.1039)^2\)

Variance = 0.0108

Hence, the value of variance is 0.0108.

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Find the equation of the linear function represented by the table below in
slope-intercept
form.

Find the equation of the linear function represented by the table below inslope-interceptform.

Answers

Answer:

y = x + 5

Step-by-step explanation:

You can see that x is increasing at exactly the same rate as y. That rate is 1. This gives the graph a slope of 1. Now we can determine by subtracting 1 from y when x = 1 that the y intercept is 5. Slope intercept is y = mx+b. The y intercept is b which is five and the slope is m which is one.

data from a poll conducted by travelocity led to the following estimates: approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation. are the given percentages population values or were they computed from a sample?

Answers

The estimates that is led from the data from a poll conducted by Travelocity , then the percentages are "computed from a sample"  .

The Data from the poll conducted by Travelocity was computed from a sample of travelers and was used to estimate the proportion of travelers

The travelers have certain habits or behaviors, such as checking work email (44%) taking a cell phone (32%) , or bringing a laptop computer on vacation (26%) .

The sample estimates are used to make inferences about the population.

Therefore , the given percentages are that they were  "computed from a sample" .

The given question is incomplete , the complete question is

Data from a poll conducted by Travelocity led to the following estimates:

Approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation.

Are the given percentages "population values" or were they "computed from a sample" ?

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Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown. Which statements must be true about the two congruent, shaded figures? Select two options. A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern. Group of answer choices The figures are quadrilaterals because each has four sides. The figures are trapezoids because each has exactly one pair of parallel sides. The figures are rhombi because they are formed by four congruent line segments. The figures are parallelograms because their opposite sides are parallel. The figures are rectangles because they are formed inside a rectangle.

Answers

Answer:

D & E

Step-by-step explanation:

The figures are parallelograms because their opposite sides are parallel

The figures are quadrilaterals because each had four sides

Answer:

D&E

Step-by-step explanation:

Edge 2021

in
2. Susan is divorced and has one child that she pays for. She will file her taxes as a head of
household for federal income tax and single for state tax purposes. Susan's gross income is
$48,500. Susan lives in Louisiana

Answers

Answer:

what si the questions

Step-by-step explanation:

Bag lunch. Phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. She takes a simple random sample of 104 seniors and finds that 78 of them bring a bag lunch. A simple random sample of 80 sophomores reveals that 52 of them bring a bag lunch. Do these data give convincing evidence to support Phoebe's hunch? Use a = 0.05. a. Is there one or two populations in this problem? b. Is this a problem about quantitative data or qualitative (categorical) data? C. Will you use the t stats or proportion stats option in StatCrunch to complete this problem? d. State the null and alternative hypotheses using the correct statistical symbols. e. State the test statistic. f. State the P-value. g. In a complete sentence, indicate the strength of this P-value and give a conclusion using the context of the problem that you are testing. I should be able to read your conclusion and tell that you were testing about whether older students are more likely to bring a bag lunch than younger students. h. Construct a 95% confidence interval to estimate the difference in the proportions of seniors and sophomores who bring a bag lunch to school.

Answers

a. Two populations.

b. Qualitative (categorical) data.

c. Proportion stats.

d. Null hypothesis: p1 = p2 (The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch). Alternative hypothesis: p1 > p2 (The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch).

e. Z-test for two proportions.

f. P-value.

g. A small P-value provides convincing evidence to support Phoebe's hunch that older students are more likely to bring a bag lunch than younger students.

h. 95% confidence interval to estimate the difference in proportions.

What is hypothesis?

A hypothesis is a proposed explanation or assumption that is tested through research and data analysis. It is a statement that suggests a relationship or difference between variables or phenomena and serves as a basis for scientific investigation.

a. There are two populations in this problem: the population of seniors and the population of sophomores.

b. This is a problem about qualitative (categorical) data since we are examining whether students bring a bag lunch or not.

c. We will use the proportion stats option in StatCrunch to complete this problem.

d. Null hypothesis (H0): The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch.

Alternative hypothesis (Ha): The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch.

e. The test statistic is the z-test for two proportions.

f. The P-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

g. The strength of the P-value determines the level of evidence against the null hypothesis. If the P-value is small (below the significance level), it provides strong evidence against the null hypothesis. In this case, a P-value less than 0.05 (assuming significance level α = 0.05) would suggest convincing evidence to support Phoebe's hunch.

h. To construct a 95% confidence interval to estimate the difference in proportions, we use the formula:

Confidence interval = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and z is the critical value corresponding to the desired confidence level (in this case, z value for a 95% confidence level).

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4 + 2x − x = −3x − 4 what is the value of x?

Answers

Answer:

1,000,000

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Hi,

4 + 2x - x = -3x - 4

4 + x = -3x - 4

x = -3x - 8

4x = -8

x = -2

Hope this helps :)

Do you know how to do this??? Please help and give answers

Do you know how to do this??? Please help and give answers

Answers

Answer:

Answers below

Step-by-step explanation:

1) 31

2) 1

3) 7

4) 23

5) 21

6) 11

7) 5

18 x 4/3 please help me. ☕

Answers

Answer:

24

Step-by-step explanation:

18/3 = 6

6*4 = 24

hi

18 = 6*3

so  18* 4/3 =  6*3*4 /3 =   24

Curt and Melanie are mixing 70% of blue paint and 30% of yellow paint to make seafoam green paint in a 1. 5 quarts bucket. Use the percent equation to find out how much yellow paint they should use

Answers

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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how many 5-letter passords can be made using the letters a thought z if... a) repetition of letters is allowed? b) repetition of letters is not allowed?

Answers

Answer:

Order is important: If allowed 11881376

Order is important:If rep. Is not allowed 7893600

Step-by-step explanation:

If the order isnt important and repetition is not allowed 65780

If order isn’t important and repetition is allowed 142506

Which of the following numbers is closest to 12? O A. V145 B. 7147 C. V 142 D. V 146 . V​

Answers

Answer: C

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

12x12=144 and the closest number to 144 is 145

Help me please whit work❤️

Help me please whit work

Answers

Answer:

it's below in the explanation

Step-by-step explanation:

angle 1 is 71

angle 2 is 29

angle 3 is

angle 4 is 115

angle 5 is 29

Todd joins a fitness club. During the first week of training, his biceps Increase by 4 millimeters. The trainer says Todd can expect his biceps to continue to increase each week, but only by about 90% of the increase of the week before.
Todd wants to know how much his biceps will increase In 8 weeks. a. Write a rule for the /cth term In the sequence that represents the amount of muscle increase each week. b. Write the summation notation using
Σ
Σ for the first 8 terms. c. Expand the series and evaluate to find the amount by which Todd's biceps will increase in 8 weeks.

Answers

The total amount by which Todd's biceps will increase in 8 weeks is approximately 29.152 millimeters.

a. To find the rule for the nth term in the sequence representing the amount of muscle increase each week, we can use the given information. The first week's increase is 4 millimeters, and each subsequent week's increase is 90% of the previous week's increase. Therefore, we can establish the rule as follows:

\(a_n = 4 * 0.9^{(n-1)}\)

Where aₙ represents the muscle increase in the nth week.

b. The summation notation using Σ (sigma) for the first 8 terms would be:

= Σ(aₙ) from n = 1 to 8

c. To expand the series and evaluate the amount by which Todd's biceps will increase in 8 weeks, we substitute the values of aₙ from n = 1 to 8 into the summation notation:

= Σ(aₙ) from n = 1 to 8

= a₁ + a₂ + a₃ + a₄ + a₅ + a₆ + a₇ + a₈

Expanding the series using the rule from part a, we have:

\(= 4 * 0.9^{(1-1)} + 4 * 0.9^{(2-1)} + 4 * 0.9^{(3-1)} + 4 * 0.9^{(4-1)} + 4 * 0.9^{(5-1)} + 4 * 0.9^{(6-1)} + 4 * 0.9^{(7-1)} + 4 * 0.9^{(8-1)}\)

\(= 4 + 4 * 0.9 + 4 * 0.9^2 + 4 * 0.9^3 + 4 * 0.9^4 + 4 * 0.9^5 + 4 * 0.9^6 + 4 * 0.9^7\)

Evaluating this expression will give us the total amount by which Todd's biceps will increase in 8 weeks.

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Helpppp me answer this please

Helpppp me answer this please

Answers

Answer:

D is the right ans

Step-by-step explanation:

if i write step by step it will take a long time so quick

Answer:

D.

Step-by-step explanation:

Simplify the numerator and denominator separately. Let's do the numerator first. In the numerator, we have: \(x^2-8x-9\). We can factor this.

\(x^2-8x-9=(x-9)(x+1)\)

(I did this by picking two numbers that multiply to -9 and add to -8. -9 and 1 are the only possible candidates).

Now, let's simplify the denominator. The denominator is:

\(5x^2-45x=5x(x-9)\)

Thus, all together we will have:

\(\frac{(x-9)(x+1)}{5x(x-9)}\)

We can cancel the (x-9) term. Thus:

\(=\frac{x+1}{5x}\)

An inclined plane that forms a 30° angle with the horizontal is thus released from rest, allowing a thin cylindrical shell to roll down it without slipping. Therefore, we must determine how long it takes to travel five metres. Given his theta, the distance here will therefore be equivalent to five metres (30°).

Answers

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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On your own sheet of grid paper (see above for link to grid paper), draw an irregular figure which has an area of
pproximately 12 square units.

pls help i rlly need it

100 points

Answers

See the attached picture

On your own sheet of grid paper (see above for link to grid paper), draw an irregular figure which has

Employees of landscaping companies built a retaining wall. They used brick to make the top 2/3 of the wall.
250 POINTS
Part A: What is the height of the brick proportion of the wall? Write an equation

Part B: Estimate the area of the whole retaining wall. A= LxW
For part c you need a equation
Part C: What is the area of the whole retaining wall? Write an equation to show your work. Compare your answer to your estimate to see whether your answer is reasonable

Employees of landscaping companies built a retaining wall. They used brick to make the top 2/3 of the

Answers

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

 2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

(8 x 2) + (3/4 x 1/2) = x

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

Broker Ben applies and becomes licensed February 1, 2014. How much will he pay for his license (not counting the application fee)?
$136
$178
$150
$107

Answers

The cost of Broker Ben's license (not including the application fee) after he becomes licensed on February 1, 2014, is $178. Option B is the correct choice that lists the amount Broker Ben has to pay for his license on 1st February 2014.

The license cost of $178.00 was charged to Broker Ben. The National Mortgage Licensing System (NMLS) is responsible for licensing mortgage brokers. Each state has its own set of licensing requirements and standards that must be followed.

Candidates must also pass a federal background check and complete pre-license education and continuing education to become licensed under the SAFE Act.NMLS maintains a nationwide mortgage licensing database, making it simple for lenders to examine the backgrounds of mortgage brokers. Hence, B is the correct option.

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The line plot shows the favorite color of the students in the class. How many students liked red or blue? A. 9 B. 20 C. 25 D. 45

Answers

The line plot shows the favorite color of the students in the class. Option A, 9 students liked red or blue.

The line plot presents four columns with red, blue, orange, and yellow colors at the bottom. The number of students liking the color is represented by the x variable. The line plot presents five x in the column of red and four x in the column of blue. Therefore, a total number of students liking the color red and blue are option 9.

A line plot or line chart presents a chart along the number line. Line dots are often used in the line chart but variables can be presented by alphabet as well. It presents the frequency of the number of times the variable is presented in the data. If the data is big in numbers, the legend is used to present the variable. For instance, the legend of the line plot is x. Therefore, x = 5 students.

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Answer:

A

Step-by-step explanation:

Consider the following regression model: Y₁ =B₁ + B₂X₂1+ B3X31 + B₂X41 +14₁ Using the model above show that the maximum likelihood estimator for the variance, var (uiX21-X31-B4X4), is biased (be sure to comment of the nature of the bias).

Answers

The maximum likelihood estimator for the variance, (ui|\(X_{2i}\), \(X_{3i}\), β₄\(X_{4i}\)), is unbiased.

To analyze the bias of the maximum likelihood estimator (MLE) for the variance, we need to consider the assumptions and properties of the regression model.

In the given regression model:

\(Y_i\) = β₁ + β₂\(X_{2i}\) + β₃\(X_{3i}\) + β₄\(X_{4i}\) + U\(_{i}\)

Here, \(Y_i\) represents the dependent variable, \(X_{2i}, X_{3i},\) and \(X_{4i}\) are the independent variables, β₁, β₂, β₃, and β₄ are the coefficients, U\(_{i}\) is the error term, and i represents the observation index.

The assumption of the classical linear regression model states that the error term, U\(_{i}\), follows a normal distribution with zero mean and constant variance (σ²).

Let's denote the variance as Var(U\(_{i}\)) = σ².

The maximum likelihood estimator (MLE) for the variance, σ², in a simple linear regression model is given by:

σ² = (1 / n) × Σ[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

To determine the bias of this estimator, we need to compare its expected value (E[σ²]) to the true value of the variance (σ²). If E[σ²] ≠ σ², then the estimator is biased.

Taking the expectation (E) of the MLE for the variance:

E[σ²] = E[ (1 / n) × Σ[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

Now, let's break down the expression inside the expectation:

[( \(Y_i\) - β₁ - β₂\(X_{2i}\) - β₃\(X_{3i}\) - β₄\(X_{4i}\))²]

= [ (β₁ - β₁) + (β₂\(X_{2i}\) - β₂\(X_{2i}\)) + (β₃\(X_{3i}\) - β₃\(X_{3i}\)) + (β₄\(X_{4i}\) - β₄\(X_{4i}\)) + \(U_{i}\)]²

= \(U_{i}\)²

Since the error term, \(U_{i}\), follows a normal distribution with zero mean and constant variance (σ²), the squared error term \(U_{i}\)² follows a chi-squared distribution with one degree of freedom (χ²(1)).

Therefore, we can rewrite the expectation as:

E[σ²] = E[ (1 / n) × Σ[\(U_{i}\)²] ]

= (1 / n) × Σ[ E[\(U_{i}\)²] ]

= (1 / n) × Σ[ Var( \(U_{i}\)) + E[\(U_{i}\)²] ]

= (1 / n) × Σ[ σ² + 0 ] (since E[ \(U_{i}\)] = 0)

Simplifying further:

E[σ²] = (1 / n) × n × σ²

= σ²

From the above derivation, we see that the expected value of the MLE for the variance, E[σ²], is equal to the true value of the variance, σ². Hence, the MLE for the variance in this regression model is unbiased.

Therefore, the maximum likelihood estimator for the variance, (ui|\(X_{2i}\), \(X_{3i}\), β₄\(X_{4i}\)), is unbiased.

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Answer? please i really need help

Answer? please i really need help

Answers

4/5, you can divide both my 14

If x+6>2x+4, which of the following is NOT a possible value for x? part 2

If x+6>2x+4, which of the following is NOT a possible value for x? part 2

Answers

i dont know i am just guessing so yeah just give me a l

"2" is NOT a possible value for x.

The given inequality is:

\(x+6>2x+4\)

By subtracting "2x" from both sides of the equation, we get

→ \(x+6-2x> 2x+4-2x\)

→         \(6-x> 4\)

By subtracting "6" form both sides, we get

→   \(6-x-6>4-6\)

→             \(-x> -2\)

→                \(x>2\)

Thus the above answer i.e., option D is the right approach.    

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