Remember
(x^m)^n=x^(mn)
and
(x^m)(x^n)=x^(m+n)
and
(x^m)/(x^n)=x^(m-n)
so
(4^2)^3=4^(2*3)=4^6
notice
4^6=(2^2)^6=2^2*6)=2^12
(4/2)^3=2^3
on top we have
(2^12)(2^3)(2^3)=2^(12+3+3)=2^18
on bottom
8^3
conver to base 2
(2^3)^3=2^(3*3)=2^9
now we have
(2^18)/(2^9)=2^(18-9)=2^9
a. , , and each have mean 0, and by linearity of expectation we have
b. By definition of correlation, we have
where denotes the covariance,
Because are mutually independent, the expectation of their products distributes over the factors:
and recall that variance is given by
so that in this case, the second moment is exactly the variance of ,
We also have
and similarly,
So, the correlation is
c. The variance of is
Answer:
There are no solutions.
Step-by-step explanation:
Put it in an equation
x + 5 = x − 13
Let's solve your equation step-by-step.
x + 5 = x − 13
Step 1: Subtract x from both sides.
x + 5 − x = x − 13 − x
5 = − 13
Step 2: Subtract 5 from both sides.
5 − 5 = − 13 − 5
0 = − 18
Answer:
There are no solutions.