What are the coordinates of each vertex if the figure is rotated 90° counterclockwise about the origin? A. A'(-2, 2), B'(-5. - 2). C'(-3, -6),D (3,-4)

B. A' (2, – 2), B' (5,2), C'(3,6). D(-3,4)

C. A'(-2, – 2),B'(-5,2),C'(-3, 6),D(3,4)

D. A'(2, 2), B'(5,- 2),C'(3,-6),D'(-3,-4)

The height of a flare fired from the deck of a ship in distress can be modeled by h(t)= -2(8t^2-52t-28), where h is the height of the flare above water and t is the time in seconds. a. find the time it takes the flare to hit the water.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

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.