Find the constant of variation for the relation and use it to write an equation for the statement. Th a.
C.
If y varies directly as x, and y = 7 when x = 3, find y when x = 7
7
49
49
Y =
343
3
y = 5%; y(7) =
3
3
3
b. 3
d. y = 7x; y(7) =49
y = 3*; y(7) =3
Please select the best answer from the choices provided

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.)