60% of all violent felons in the prison system are repeat offenders. If 32 violent felons are randomly selected, find the following probabilities. Round your answers to 4 decimal places. a. Exactly 20 of them are repeat offenders.

b. At most 19 of them are repeat offenders.

c. At least 20 of them are repeat offenders.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

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?

Let f(x) = 5/x and g(x)=2x2+5x. what two numbers are not in the domain of f o g