Agroup of 10 friends decides to head up to a cabin in the woods (where nothing could possibly go wrong). unfortunately, a number of these friends have dated each other in the past, and things are still a little awkward. to 4.3. coloring 224 get the cabin, they need to divide up into some number of cars, and no two people who dated should be in the same car. (a) what is the smallest number of cars you need if all the relationships were strictly heterosexual

Quadrilateral ghjk has vertices g(2, 3), h(8, 2), j(6, 8), and k(3, 6). it is transformed according to the rule t(–4, –5). what are the coordinates of g”? (–7, 3) (–2, 2) (–1, –7) (2, –2)

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.

What is the ratio fraction form of 25: 9