Aweather plane took to the skies to measure the speed of the jet stream. the plane flew 1920 km with the jet stream as a tail wind. then, it returned to its original location. the eastbound flight took 2 hours, and the westbound flight took 3.2 hours. which system of equations can be used to find the speed of the jet stream and the speed of the plane? what was the speed of the jet stream? (p = plane, w = wind)

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.)