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) =
PX'(1) = = 8
[PX'(1)]² = 64
PX''(z) =
PX''(1) = = 57.6
Substitute all terms back in eq(1)
Var(X)= 57.6 + 8 - 64
Var(X)= 1.6
113.04 in2
56.52 in2
256.34 in2
1017.36 in2
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
Simplified expression-?
Value-?
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:
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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: