A kayaker paddles across a river at a constant speed of 4 miles per hour and a
bearing of N 60° E. Which current vector
results in the kayaker's actual speed
being 5.9 miles per hour and the
kayaker's actual direction being N 70° E?
If necessary, round speed to the nearest
tenth and direction to the nearest degree.
A (1,0)
B (2,0)
C (2.5, 0)
D (3, 0)

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.)