In the graph, the coordinates of the vertices of pentagon jklmn are j(4, 6), k(6, 4), l(5, 2), m(3, 2), and n(2, 4). if pentagon jklmn is reflected across the x-axis, find the coordinates of l'.

a.
(–5, 2)
b.
(2, –4)
c.
(3, –2)
d.
(5, –2)

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.)