Two planes leave an airport at the same time, traveling on runways that have an angle of 42° between them. If one plane travels at an average speed of 220 mph and the other plane travels at an average speed of 280 mph, how far apart are the two planes after 4.5 hours? (Round to one decimal place.)

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.