A high school is planning on holding its graduation at a theater. It is planned for 1330 people to be attending the graduation. In the theater, there are 30 rows. The number of seats in a row increases by two with each successive row. The front row has 15 seats. Will there be enough seats available in the theater to seat everyone? Justify your answer

Triangle xyz has vertices x(1,3), y(0,0)

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.

Aquadrilateral has exactly one pair of parallel sides. which name best describes the figure?