Then choose the point P below that has the following property: If point P is added to the given set of points, then point P would be in a closest pair of points, and all the currently existing closest pairs would also still remain closest pairs.
a) (0,5)
b) (16,-1)
c) (14,4)
d) (22,11)

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.

Atype of plant is introduced into an ecosystem and quickly begins to take over. a scientist counts the number of plants after mmonths and develops the equation p(m)= 19.3(1.089)^m to model the situation. most recently, the scientist counted 138 plants.assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants werefirst introduced? a)o 6.1b)0.6.6c)10 72d)o 23.1

Triangle abc was translated 2 untits to the right and 3 units down. write the algebraic rule that describes the translation that was applied to triangle abc to create triangle a'b'c'.