Suppose a 5 card hand is drawn from a standard deck of cards. How many ways can a 5 card hand be dealt if there must be 3 cards that are divisible by two and 2 face cards? Grade 12 Data Management

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

X2 + y 2 = 36 x + y = 6 solve the system of equations.

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.