Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=

Answers

Answer 1

Answer:

a = -6

Cov (2X+Y, 3X-4Z) = 30

Step-by-step explanation:

Key points:

Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.

Cov(2X, -3Y+2) = a⋅Cov (X,Y)

Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)

(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

⇒ a = -6.

(c)

Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5

Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)

                               = 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)

                               = (6 × 5) - 0 + 0 - 0

                               = 30

Thus, the value of Cov (2X+Y, 3X-4Z) is 30.

Answer 2

The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.

Calculation of the value of a and cov:

Since

Cov (aX, bY) = a·b·Cov (X, Y)

Cov (X, X) = V (X)

Cov (X, a) = 0

In the case when X and Y are independent so Cov (X, Y) = 0.

Now

Cov(2X, -3Y+2) = a⋅Cov (X,Y)

Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)

(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)

a = -6.

(c)

here

Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.

V (X) = V (Y) = V (Z) = 5

So,

Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)

= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)

= (6 × 5) - 0 + 0 - 0

= 30

Thus, the value of Cov (2X+Y, 3X-4Z) is 30.

Learn more about variance here: https://brainly.com/question/24138432


Related Questions

Please help me everyone!
In Kennington, 25 legislators represent 500,000 people.
Kennington has 2,500,000 people. How much legislators do they need?
Please help, I repeat.

Answers

                                                  [tex]\huge\boxed{125.}[/tex]

[tex]\boxed{-------------------------------------}[/tex]

Explanation...

So, 25 legislators represents 500,000 people.

We are trying to find how much legislators you need to represent 2,500,000.

500,000*5=2,500,000.

25*5=125.

Therefore, your answer is 125.

[tex]\boxed{-------------------------------------}[/tex]

Hope i helped!

[tex]\huge\boxed{Thanks,Plip.}[/tex]

Answer: 125

In Kennington, 25 legislators represent 500,000 people.

Find how many times 500,000 go into 2,500,000 people.

2,500,000 ÷ 500,000 = 5

Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.

25 x 5 = 125.

Answer = 125.

Hope this helps you!

Simplify (4.5)(5)(−2).

Group of answer choices

45

4.5

−4.5

−45

Answers

Answer: -45

Steps: 4.5 × 5 × -2 = -45

Plz mark brainliest:)

A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answers

Answer:

this is for you RSM people.

1 hour=13.5

2 hours=27

3 hours=40.5

3.5 hours=47.25

Step-by-step explanation:

The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph

Giveb the Parameters :

Distance biked = 9 miles Time taken = 2/3 hours

Recall :

Speed = distance / time

Speed = 9 ÷ 2/3

Speed = 9 × 3/2

Speed = 27/2 = 13.5 miles per hour.

Therefore, the constant variation is 13.5 mph.

Learn more : https://brainly.com/question/18796573

Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.

Answers

Answer:

Step-by-step explanation:

CACA POOP

Answer:

464

Step-by-step explanation:

hwe

Please help please ​

Answers

Answer:

1.) supplementary  m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

help and ill give u brainly And points ASAp

Answers

i’ll help you, but the image isn’t popping up

Find the slope of the line through the points (3,2) and (4,5).

Answers

Answer:

[tex]m=3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-2}{4-3}[/tex]

[tex]m=\frac{3}{1}[/tex]

[tex]m=3[/tex]

There are four different sets of objects shown in the answer choices. Select all of the sets of objects that could be modeled by perpendicular lines. Two roads that meet at an intersection. The top of a desk and the floor. A tree and its shadow on the ground. Two stars seen in the sky.

Answers

Answer:

Step-by-step explanation:

Select all of the object sets that could be modelled by perpendicular lines.

A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.

OPTIONS:

(A) APPLICABLE

Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.

(B) APPLICABLE

The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.

(C) NOT APPLICABLE

A tree and its shadow on the ground will only form a right-angled triangle

(D) NOT APPLICABLE

Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.  

Find the exponential function evaluate of
Y=2.5x

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)

Answers

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!

Enter an equation in standard form to model the linear situation.

A barrel of oil was filled at a constant rate of 6.7 gal/min. The barrel had 12 gallons before filling began.

Answers

Answer:

jdfjafdsds

Step-by-step explanation:

Which unit rate corresponded to the proportional relationship shown in the graph?​

Answers

Answer: the speed of worm graph is bigger which gives you more space to figure out the way of the speed

Step-by-step explanation:

the graph is a picture designed to express words, particularly the connection between two or more quantities. You can see the graph . A simple graph usually shows the relationship between two numbers or measurements in the form of a grid.

2(x-3)=x-5+x plz help

Answers

Answer:

x is undefined

Step-by-step explanation:

Simplify the expression, we get

2x-6=2x-5

This will not work

There are no solutions

Solve the system of equations: y=x^2, y=x+6

A.(3,9)
B.(-3,9),(2,4)
C. (-2,4),(3,9)
D.(-2,-4),(3,9)

Answers

The answer is C. (-2,4), (3,9)

Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?

Answers

Answer:

8 - 2i

Step-by-step explanation:

Just add the real parts together and then add the imaginary parts together

5 + 3 = 8

-4i + 2i = -2i

8 - 2i

Answer:

8-2i

Step-by-step explanation:

Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.

Answers

Answer:Step-by-step explanation:

a. Let x = number of months

Amount charged by Francis Lewis Gym = 150 + 10x

Amount charged by Clintonville Gym = 50 + 35x

Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months

150 + 10x = 50 + 35x

Collect like terms

150 - 50 = -10x + 35x

100 = 25x

Divide both sides by 25

100/25 = x

4 = x

Answer: 4 months

b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.

Amount charged by Francis Lewis Gym = 150 + 10x

= 150 + 10(2)

= 150 + 20

= $170

Amount charged by Clintonville Gym = 50 + 35x

= 50 + 35(2)

= 50 + 70

= $120

She should join the Clintonville Gym if she plans to join a gym for 2 months.

Answer: Clintonville Gym

PLEASE HELP!?!?!

a. c + 7 less than or equal to 3


b. c – 3 > 1


c. c – 7 < 3


Matching


Match the inequality to the graph of its solution.

Answers

It’s b hope that helped have a great night

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Population Mean wage (m) = $24.57

a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

The Null hypothesis : μ = 24.57

1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.

Alternative hypothesis : μ ≠ 24.57

1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.

Sample size (n) = 30

Sample mean (Sm) = 23.89

Population standard deviation (σ) = 2.40

Obtaining Z:

Z = (Sm - m) / σ/√n

Z = (23.89 - 24.57) / 2.40/√30

Z = - 0.68 / 0.4381780

Z = - 1.5518805

Using the online p value calculator from Zscore

P value = 0.121142

= 0.1211

9.831 rounded to the nearest tenth

Answers

Answer:

9.8

Can i get brainliest please?

Answer:

9.8

Step-by-step explanation:

Hoped that helped :)

Jada's bike wheels have a diameter of 20 inches. How far does she travel if the wheels rotate 37 times.

Answers

If we know the diameter is 20inches we can find the circumference by multiplying 20 by pi, which is approximately 62.83 inches. This means that after one rotation the bike will travel 62.83 inches. To find the distance traveled we just multiply the circumference by 37 , which gives us about a total distance traveled of about 2324.78 inches

78 feet wide and 27 feet long what is the perimeter?

Answers

Answer:

105

Step-by-step explanation:

When finding the perimeter add them together

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

HURRY AND AWNSER SISSYS

Answers

Answer:

Neither

Step-by-step explanation:

I also think it is neither

231km 118m - 485km 829m in the smallest unit

Answers

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

Which sets of angles listed are complementary in this diagram?

Answers

ANSWER: second option
EXPLANATION: always remember that complementary angles are angles that add up to 90 degrees...
Hope this helped you out

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

From the given figure we need to identify the complementary angles.

What are complementary angles?

In geometry, complementary angles are defined as two angles whose sum is 90 degrees.

By complementary angles concept:

From the figure, ∠AEG+∠CEG=90°

∠AEF+∠FED=90°

The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.

To learn more about the complementary angles visit:

https://brainly.com/question/15592900.

#SPJ5

Solve for the variable : 5y+6=3(y+4)

Answers

Answer:

y = 5

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

You would want to multiply y and 4 by 3.

5y+6=3(y+4)

×3 ×3

5y+6=3y+12

Now you want to have y by itself. You can first subtract 6 for starters.

5y+6=3y+12

-6 -6

5y=3y+6

5y=3y+6

-3y -3y

2y=6

Now you would want to divide.

2y=6

÷2 ÷2

y=3

You're answer would be y=3.


Helppppppp plzzzzzzzzzxzxzmfyfdtidt

Answers

Answer:

y=7

Step-by-step explanation:

Distribute: 9y-4y-4=31

Add like terms: 5y-4=31

Isolate: 5y=35

Divide each side by 5: y=7

ANSWER: y=7

Hope this helps

Do you guys know the answer?

Answers

EFGH is twice the size of ABCD

write an equation and use it to find the value of x will mark brainiest​

Answers

Answer:

equation: (12x+19) + (22x-9) = 180

x= 5

Step-by-step explanation:

the equation was made by the fact that the angles would add up to equal 180 degrees since the line made by them is straight

(12x+19) + (22x-9) = 180 is the same as 12x + 19 + 22x - 9 = 180

add like terms: 34x + 10 = 180

subtract 10 from both sides: 34x = 170

divide both sides by 34 to find x: x = 5

Answer:

12x+19+22x-9=180

Step-by-step explanation:

its a supplementary angles:

meaning two angles adds up to 180

therefore,

12x+19+22x-9=180

-------------------------------

to find the value of x:

12x+19+22x-9=180

12x + 22x = 180 - 19 + 9

34x = 170

x = 170 / 34

x = 5

PLEASE ANSWER IMMEDIATELY!!!

Answers

Answer:

C.

Step-by-step explanation:

Point lines A and B are pointed in the same each direction.

Point line straight C and G.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

B and C

Step-by-step explanation:

Both do not intersect AB and are not parralel to AB.

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