Consider a function f : A → BSCA and the inclusion map i : S A defined by i(s) = s for all s € S. Show that the restriction map fls:S → B satisfies fls = foi Moreover, show that if f is one-to-one, then fs is one-to- one.

Simply 8x squared + 5(7x squared- x) - 2x =

Which compound inequality could be represented by the graph?

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.