Answer:
f(5) = 22
f(9) = 34
Step-by-step explanation:
Plug in 5 and 9 separately for the equation of the x values. Multiply them each and add 7 to get these values 22 and 34.
Answer:6%
Step-by-step explanation:
Decrease = 1500 - 1410= 90
% decrease = (90/1500)*100%
= 6%
Answer:
for the first one I think it is -5/-2 second is 1/-4 third one is 2/1 this may not be correct
Step-by-step explanation:
Answer:

Step-by-step explanation:
we have

Solve for x
Multiply in cross

Divide by 33 both sides (Division Property of Equality)


Convert to mixed number

The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :

a). We know :
![$E[g(x)] = \sum g(x)p(x)$](https://tex.z-dn.net/?f=%24E%5Bg%28x%29%5D%20%3D%20%5Csum%20g%28x%29p%28x%29%24)
So, 

Therefore comparing both the sides,


Also, 
b).
We known that ![$E[g(x)] = \sum g(x)p(x)$](https://tex.z-dn.net/?f=%24E%5Bg%28x%29%5D%20%3D%20%5Csum%20g%28x%29p%28x%29%24)
∴ 

Therefore on comparing, we get

∴ 