Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled. A coordinate grid labeled Distances Traveled with Time in minutes along the horizontal x-axis and Distance in miles along the vertical y-axis with 2 lines. The first line is labeled y equals (StartFraction 1 over 15 EndFraction) x plus 5 and passes through (0, 5) and (60, 9). The second line is labeled y equals (StartFraction 2 over 15 EndFraction) x. The lines appear to intersect at between 70 and 80 along the x-axis and 10 on the y-axis.
How many minutes does it take Arnob to catch up to Kathleen?

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.)