It would be 5.3% of a number given. But since there isn't, you would have to use X.
Given the equation :

Let: y = sin x
So,

the given equation will be:

Solve for y, take 3y as a common:

so,

Note: the range of sine function is [ -1, 1]
So, sin x = 2 ( is rejected)
So, the answer will be: x ={ 0 , pi }
Answer:
tan X = 
Step-by-step explanation:
tan X =
=
= 
Answer:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Step-by-step explanation:
For this case we know this:
with both Y and u random variables, we also know that:
![[tex] E(v) = 0, Var(v) =1, E(X) = 1, Var(X)=2](https://tex.z-dn.net/?f=%20%5Btex%5D%20E%28v%29%20%3D%200%2C%20Var%28v%29%20%3D1%2C%20E%28X%29%20%3D%201%2C%20Var%28X%29%3D2)
And we want to calculate this:
Part a

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part b

If we distribute the expected value we got:

Part c

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part d

If we distribute the expected value we got:

Part e

Part f

Part g

Part h
E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Answer:
Step-by-step explanation:
a. Y=50x+75
b. Y=50(7)+75
y=350+75
y=425
Yes, you will have enough if you use the 465 certificate. You will have $40 (465-425) left on the gift certificate.