Undo YOU TRY!
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A rocket is taking off from the NASA headquarters in Cape
Canaveral, Florida. Joe sees the rocket from his location
at an angle of elevation of 70°. Joe knows he is roughly 4
miles from the launch pad. Approximately how high is the
rocket in the sky? Round to the nearest tenth of a mile.
(HINT: Will Joe's eye height be relevant when we're
measuring in miles?)

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.)