A bushel of apples currently costs $10 and the price is increasing by $0.50 per week. A bushel of
pears currently costs $15 and the price is
decreasing by $0.25 per week. Which system of
linear equations could be used to determine
when the two fruits will cost the same amount
per bushel?

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.