Khloe and her children went into a movie theater where they sell bags of popcorn for $7 each and candies for $4 each. Khloe has $60 to spend and must buy no less than
11 bags of popcorn and candies altogether. If x represents the number of bags of
popcorn purchased and y represents the number of candies purchased, write and
solve a system of inequalities graphically and determine one possible solution.

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.