Multiple attempts not allowed. this test can only be taken once. force completion once started, this test must be completed in one sitting. do not leave the test before clicking sav this test does not allow backtracking. changes to the answer after submission are prohibited. remaining time: 1 hour, 20 minutes, 46 seconds s question completion status: > ? moving to the next question prevents changes to this answer. question 6 solve the problem. the monthly rate for basic cable (in dollars) is approximated by f(x)-8.71e^.06x (5 sx 330) where x 5 corresponds to the year 1985. according to this model, when did spending reach $40 a month? 2005 1998 e 2000 o 2010

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.)