Answer:
y= -1/4
y= -0.25
Step-by-step explanation:
5/6y+1= -1/2y+1/4
<em>Subtract 1 from both sides</em>
5/6y= -1/2y-3/4
<em>Add 1/2y to both sides</em>
1 1/3y= -3/4
<em>Divide both sides by 1/3</em>
y= -1/4
y= -0.25
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
Round to the nearest percent
Answer:
260 square centimeters
Step-by-step explanation:
The formula for the area of a parallelogram is:
b x h
Where the base (b) is multiplied by the height (h) perpendicular to it.
The base here is 20 cm
The height perpendicular to the base is 13 cm
20 x 13 = 260
Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!
Hope this helps!
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

∴ 