Reflecting points in the coordinate plane: 1.) Reflect (2.5, 4.5) in the x-axis.

2.) Reflect (2.5, 4.5) in the y-axis.

Working with mixed numbers and whole numbers.

3.) Reflect (-5 1/2, 3) in the x-axis.

4.) Reflect (-5 1/2, 3) in the y-axis.

5.) Reflect (4, 5) in the x-axis followed by the y-axis.

6.) Reflect (-1, 7) in the x-axis followed by the y-axis.

7.) Reflect (-2, -2) in the x-axis followed by the y-axis.

8.) Reflect (6.5, -10.5) in the x-axis followed by the y-axis.

9.)
a. A point is reflected in the x-axis. The reflected point is (3, -9). What is the original point?
b. What is the distance between the points?

10.)
a. A point is reflected in the y-axis. The reflected point is (5.75, 0). What is the original point?
b. What is the distance between the points?

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.)