You are given the probability generating function of X: PX(z)=(0.8z+0.2)10 Calculate the coefficient of variation of X.

Answers

Answer 1
Answer:

Answer:

Var(X)=1.6

Step-by-step explanation:

Formula for calculating the coefficient of variation for a probability generating function:

Var(X)= PX''(1) + PX'(1) - [PX'(1)]² ........... eq(1)

Now compute each individual term in the above formula.

PX'(z) = (10) (0.8) (0.8z + 0.2)^9

PX'(1) = 8 (1)^9 = 8

[PX'(1)]² = 64

PX''(z) =  (9) (8) (0.8) (0.8z + 0.2)^8

PX''(1) =   57.6 (1)^8 = 57.6

Substitute all terms back in eq(1)

Var(X)= 57.6 + 8 - 64

Var(X)= 1.6


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How do you find the scale factor

Answers

Scale factor(smaller length) is larger length over smaller length. Scale factor(larger length) is smaller length over larger length. Add your measurement and your done!

Find the area of the circle. Use 3.14 for pi.Question 1 options:


113.04 in2


56.52 in2


256.34 in2


1017.36 in2

Answers

Answer:

The answer is 254.34in².

Step-by-step explanation:

Given that the diameter is 2 times the radius. So the radius will be 9 in. Next, you have to find the area of circle, A = π × r² :

A = π × r²

Let π = 3.14, r = 9,

A = 3.14 × 9²

A = 254.34 in²

3x+7x−28+31−8x for x=2043
Simplified expression-?
Value-?

Answers

The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the Simplifying Expression is 4089.

The given expression is 3x + 7x - 28 + 31 - 8x.

To simplify the expression, we first group together the like terms.

Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).

This simplifies further to 2x + 3.

Next, to find the value of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.

Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.

Learn more about Simplifying Expression here:

brainly.com/question/36385368

#SPJ3

The answer is 16347 hope this helps

An ice cube tray holds 12 ice cubes. Each cube is 5 cm. what is the volume of all 12 cubes?

Answers

Cube is length of one side cubed (or to the third power)
This one side is 5 cm which means it's volume is 125cm^3 or cubic centimeters.
Multiply 125 * 12 to get the volume of all 12 cubes combined. 
(1500 cubic centimeters)
Hello!

To find the volume of one ice cube, you'll need to find the length, width, and height. In the question, it states that each cube is 5cm. So, 5cm will be the length, width, and height. So you'll need to multiply 5 three times (5*5*5) ---> (25*5) ---> (125).

The volume, V, of one ice cube is 125cm³

Now to find the total volume of all of the cubes, you'll need to multiply 125 by 12. After doing so, you'll get a volume of...

V=1500cm³

I hope this helps!

A line passes through A(3,7) and B(-4,9). Find the value of a if C(a, 1) is on the line.

Answers

Answer:  a=24

Step-by-step explanation:

Lets find the line's  formula (equation of the line).

As known the general formula of any straight line (linear function) is

y=kx+b

Lets find the coefficient k= (Yb-Ya)/(Xb-Xa)=(9-7)/(-4-3)=-2/7

(Xb;Yb)- are the coordinates of point B

(Xa;Ya) are the coordinates of point A

Now lets find the coefficient b.  For this purpose we gonna use the coordinates of any point A or B.

We will use A

7=-2/7*3+b

7=-6/7+b

b=7 6/7

So the line' s  equation is y= -2/7*x+7 6/7

Now we gonna find the value of a usingcoordinates of point C.

Yc=1,  Xc=a

1=-2/7*a+7 6/7

2/7*a= 7 6/7-1

2/7*a=6 6/7

(2/7)*a=48/7

a=48/7: (2/7)

a=24

Answer:

a=24

Step-by-step explanation:

Points A, B, and C lie on line segment AC. The ratio of AB:BC is 3:7, and the length of AC = 120. What is the length of BC?

Answers

In terms of "ratio units," the length of AC is 3+7=10, so each one is worth 120/10 = 12. The length BC is 7 of those, or 7·12 = 84.

The ratio of AB:BC is 3:7
3 + 7 = 10
 the length of AC = 120
so 120 / 10 = 12

BC = 7 x 12 = 84

Answer
The length of BC = 84