Alexander started with 40 pieces of candy and gave away x pieces. Tristen started with 65 pieces of gum and gave away twice as many pieces as Tristen did. How many pieces of gum was given away if they had the same number of pieces of gum left?

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.