Daniel and sofia both solve this system of equations: y=−1.5x+5.7 y=-1.5x+5.7 y=0.5x+0.3 y=0.5x+0.3 daniel's solution is (1.1,2.4) (1.1,2.4) . sofia's solution is (2.7,1.65) (2.7,1.65) . they graph the equations to check their work. based on the graph, whose solution is more likely to be correct?

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.)