Franklin sells hot dogs from his food truck. Franklin models the relationship between the highest temperature on a given day and the number of hot dogs he sold on that day with a linear function. Using data from 7 randomly selected days in one month, Franklin creates a scatterplot and draws a trend line, as shown in the figure. Using the equation of the trend line, which of the following is closest to the predicted number of hot dogs that Franklin will sell on a day when the highest temperature is 87°F ? 150
170
185
191

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.)