Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?

Answers

Answer 1

Answer:

[tex]E(10x + 3y) =106[/tex]

Step-by-step explanation:

Given

[tex]E(x) =10[/tex]

[tex]Var(x) = 100[/tex]

[tex]E(y) =2[/tex]

[tex]Var(y) = 16[/tex]

Required

[tex]E(10x + 3y)[/tex]

To do this, we make use of the following equation

[tex]E(ax + by) =aE(x) + bE(y)[/tex]

So, we have:

[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]

[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]

[tex]E(10x + 3y) =100 + 6[/tex]

[tex]E(10x + 3y) =106[/tex]


Related Questions

What is the perimeter of the trapezoid? In unit

Answers

Answer:

20 units

Step-by-step explanation:

the perimeter = 7+4+4+5 = 20 units


Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12

Answers

Answer:

[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

x = 10/11

Step-by-step explanation:

Your welcome! :)

The answer is equals to 10/11 which is also the same as 0.9090 approximately it is 1

EDCITE !!! HELP PLEASE !

Answers

it’s B 34° hope this helps.

Answer:

34

Step-by-step explanation:

The angles of a triangle add to 180

56+ F + 90 = 180   ( the box means 90 degrees)

Combine like terms

146+F = 180

Subtract 146 from each side

F = 180-146

F = 34

Will mark brainlest help me​

Answers

Answer:

a. {(1,3), (1,4) ,(2,3), (2,4) }

b. {(1,4), (1,5), (2,4), (2,5)}

Answer:

PxR={(1,4)(1,5)(2,4)(2,5)}

PxQ={(1,3)(1,4)(2,3)(2,4)}

Step-by-step explanation:

Each of the members of set P is multiplying by each member of set Q or R,

so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)

When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.

Find the measurement of the numbered angles

Answers

Answer:

m<1 = 60

m<2 = 30

m<3 = 80

Step-by-step explanation:

1. Solve for angle (1)

The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;

(30) + (m<1) + (90) = 180

Simplify,

120 + m<1 = 180

Inverse operations,

m<1 = 60

2. Solve for angle (2)

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,

m<2 = 30

Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.

3. Solve for angle (3)

As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.

(m<2) + (70) + (m<3) = 180

Susbtitute,

30 + 70 + (m<3) = 180

Simplify,

100 + m<3 = 180

Invers eoperations,

m<3 = 80

work out 8^1/3
^1/3 = power

Answers

Answer:

8/9 (decimal: 0.888889)

Answer:

[tex]2[/tex]

Two is the answer.

Step-by-step explanation:

simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers

Or .... cube root of 8 is two..

PLEASE MARK ME BRAINIEST

What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4

Answers

Answer:

its b

Step-by-step explanation:

Help (PLATO)
its Algebra

Answers

Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!

Answers

Answer:

CA = LJ

Step-by-step explanation:

The third side

CA = LJ

Answer:

CA=LG is correct answer

Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour

Answers

Answer:

Step-by-step explanation:

yes

Which of the following represents the ratio of the given side to the
hypotenuse?

HELP if you’re good at GEOMETRY!!

Answers

C that’s the answer

Anyone know this? Please help

Answers

Answer:
C
Explanation
Because i said so

I need the answers Anyoneeee

Answers

A because it’s all sets of real numbers

find the mesure of angle b

Answers

Answer:

It's C

Step-by-step explanation:

because there is a 90 degrees sigh behind it and those two angles need to add up to 90

Answer:

31

Step-by-step explanation:

b+59=90

b=90-59

b=31

hope it helps

In the figure below, which term best describes point R?

A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter

Answers

C should be right home

Orthocenter is the best term to describes point R in the triangle UVW.

What is orthocenter?

" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."

According to the given figure,

In triangle UVW,

Ray VR perpendicular to UW

Ray UR perpendicular to VW

Ray WR perpendicular to UV

Altitudes of side  ( UV , VW, and WU) of triangle UVW intersect at

point R.

As per the definition of orthocenter , point R represents orthocenter.

Hence, orthocenter is the best term to describes point R in the triangle UVW.

Learn more about orthocenter here

https://brainly.com/question/19763099

#SPJ2

3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)​

Answers

Answer:

Step-by-step explanation:

9^2

=9*9

=81

15^2

=15*15

=225

(0.2)^2

=0.2 * 0.2

=0.04

(0.7)

=0.7

What is the solution to -2(8x - 4) < 2x + 5?

Answers

Answer:

See image below:)

Step-by-step explanation:

Please help me!! i have no clue how to do this unit :(

Answers

Answer:

the area is 27

Step-by-step explanation:

Answer:

the base of this shape is 6

lets break it up into a rectangle and a triangle

the rectangle is 6(base) time 3(height)=18

the triangle is 6(base) times 3(height) divided by two = 9

18 plus 9 = 27

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

Step-by-step explanation:

um yes..!

A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H = the event of getting a hat. Let N = the event of getting a noisemaker. Let F = the event of getting a finger trap. Let C = the event of getting a bag of confetti. Find P(N).

Answers

Answer:

P(N) = 5/14

Step-by-step explanation:

Find P(N) by finding the probability of getting a noisemaker.

There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:

15/42

Simplify:

5/14

So, P(N) = 5/14

Expand the brackets 3(12-W)

Answers

Answer:

[tex]36 - 3m[/tex]

Step-by-step explanation:

[tex]3(12−m)[/tex]

[tex]3 \times 12+3(−m)[/tex]

[tex]36+3(−m)[/tex]

[tex]36−3m[/tex]

Hope it is helpful...

If the ratio of paintings to paintbrushes is 11:9, what percent of the items are paintbrushes. A.30% B. 35% C.40% D.45%

Answers

Answer:

D. 45%

Step-by-step explanation:

there are 11 paintings and 9 paintbrushes, added together you have a total of 20 items. There are 9 paintbrushes and 20 items in total which is 9/20. 9/20 as a percentage is 45%

x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set​

Answers

Answer:

The graph is in the second attached image.

Step-by-step explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

x^3 + 3x^2 - 9x - 27

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

First derivative = 3x^2 + 6x - 9 (It's a parabola)

And at last, we have in green color the second derivative:

Second derivative = 6x + 6 (It's a line)

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.

Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year

Answers

Answer:

for the first 9000 $ tax rate is 10%

so tax = 10% of 9000 = 900

rest of the amount = 35000-9000 =26000

tax rate is 16%

tax on 26000 =  16% of 26000 = 3900

total tax Debra has to pay for last year = 900 + 3900 = $4800

Step-by-step explanation:

Answer:

900+3900=$4800

#CarryOnLearning

A restaurent pays a water R18 per hour in one week he worked a shift from 12h00 to 23h00 Calculate the number of hours the water works per shift​

Answers

Answer:

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Rs 198

Step-by-step explanation:

Given:

Amount pay per hour = Rs 18

Shift time = 12 h  to 23 h

Find;

Number of hour work per shift

Amount paid for one shift

Computation:

Number of hour work per shift = 23:00 - 12:00

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Number of hour work per shift x Amount pay per hour

Amount paid for one shift = 11 x 18

Amount paid for one shift = Rs 198

Sum of all edges of all shape

Answers

Answer:

Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides

Step-by-step explanation:

HELP ASAP!!!
(Question and answers pictured)

Answers

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r​

Answers

R= 5
(2-6). -4
—— = ——-
(4-r). (This has to be -1 for the answer to be 4)
4-5=-1
So r=5

Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required

Answers

20 one team plays four other teams

Answer:

20 games are required to be play

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