Please help Hillary's teacher asked her to write a description of the transformations to the parent cosine function that would result in this function h(x) = - 3cos(2x - pi) + 4 Which statements in her description are true about function h To create the graph of function Hi the graph of the parent function is horizontally compressed by factor of Then it undergoes a phase shift left pi/2 unitsNext it is vertically compressed by a factor of - 3 and vertically shifted up 4 units The period of function half the period of the parent functionand it has an amplitude 3 units greater than that of the parent function

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)