Time to get to know your friendly χ²ₙ random variable. The density function is pretty messy, and best understood after learning about the Gamma RV (take Math 181A!), so here we’ll simply use R to generate values from χ²ₙ using rchisq from the d-p-q-r quartet. Let X ∼ χ²ₙ and Y ∼ χ²ₘ where X and Y are independent.
Consider these three questions:
1) What is E(X)?
2) What is SD(X)?
3) What RV is X+Y?
For each question, write some code that helps you make a guess. Include your code and your conjecture. (Obviously, one could cheat and Google the answers to these questions, but I hope you will not do so given how few opportunities you get in school to form conjectures. Explore and enjoy, as real scholars do.)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

94

step-by-step explanation:

average the numbers and use a variable to figure out the minimum to get a 90.

(79+94+91+92+x)/5=90

x = 94

,jkulgiurutrjyftkugyi.uykujuyxjdkytuf,yukj

step-by-step explanation:

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6