Using only numbers in the following list, 46
53
89
21
48
47
32
write down
a)
two numbers that add up to 80
1
b)
two numbers which differ by 43
c)
a multiple of 6

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.