Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
Find the value of integral from 0 to infinity of [x*f(x)]dx given the fact that the integral from 0 to infinity of (e^(-x^2))dx = root pi / 2

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?

Which expressions equal 9 when x=4 and y=1/3 a. x2+6y b. 2x + 3y c. y2-21x d. 5 (x/2) -3y e. 3x-9y