Imagine that there is a correlation of r = 0.65 between variable x and variable y. based on the correlation between these two variables (and only these two variables), what is a person's predicted value on variable y, when his x value on variable x is a z score of 1.5? provide your answer as a z score with a minimum of three decimal places.

Who long does it take to drive 150 miles at 45 miles per hour

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.)

Find the root(s) of f (x) = (x- 6)2(x + 2)2.