A friend of mine is giving a dinner party. His current wine supply includes 9 bottles of zinfandel, 13 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? 504 (b) If 6 bottles of wine are to be randomly selected from the 33 for serving, how many ways are there to do this? 1107568 (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (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.)

A: If c is a positive number, how many solutions does r? = c have? Explain. B: If c is a positive number, how many solutions does VI =c have? Explain.

their reasoning that a 16-inch pizza should serve 8. Kinsey has an idea for determining how people a 16-inch pizza will serve. What math- ematical reasoning might Kinsey be thinking of, many bin and how many people should a 16-inch-diameter pizza serve if a 12-inch-diameter pizza serves 6? (See Figure 12.84 ) Exnlain your answers.

14) Solve the equation. Check for extraneous solutions:

2) Solve each equation. a. In æ = 4 b. 4 + 5 lIn æ = 19

Solve ∆ABC. A = 36º, a = 8, b = 5