The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship? Select two options. 24 side length and perimeter of 1 face 20 perimeter of 1 face and area of 1 face O surface area and volume Perimeter of 1 Face 16 12 A area of 1 face and surface area 8 side length and volume 4 1 S 6 2 2 3 4 Side Length 40 36 32 8287 Mark this and return Save and Exit Next Submit​

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.)