So, f[x] = 1/4x^2 - 1/2Ln(x)
<span>thus f'[x] = 1/4*2x - 1/2*(1/x) = x/2 - 1/2x </span>
<span>thus f'[x]^2 = (x^2)/4 - 2*(x/2)*(1/2x) + 1/(4x^2) = (x^2)/4 - 1/2 + 1/(4x^2) </span>
<span>thus f'[x]^2 + 1 = (x^2)/4 + 1/2 + 1/(4x^2) = (x/2 + 1/2x)^2 </span>
<span>thus Sqrt[...] = (x/2 + 1/2x) </span>
Hello from MrBillDoesMath!
Answer:
(1/3) x = (5/6)
Discussion:
I think you are asking for this equation:
(1/3) x = (5/6) => multiply both sides by 3
(1/3) 3 x = (5/6) 3 => as (1/3) *3 = 1
x = 5*3/6
x= 15/6
x = 5/2 = 2.5
Thank you,
MrB
Answer:
a) E(y) = 0.8
b) The average subcharge is $165
Step-by-step explanation:
We are given the following distribution in the question:
y: 0 1 2 3
P(y): 0.50 0.25 0.20 0.05
a) E(y)

b) Expected value of subcharge
Subcharge =

Expected value of subcharge =

Thus, the average subcharge is $165