Aceramics workshop makes wreaths, trees, and sleighs for sale at christmas. a wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. a tree takes 15 hours to prepare, 3 hours to paint, and 4 hours to fire. a sleigh takes 4 hours to prepare, 17 hours to paint, and 7 hours to fire. if the workshop has 108 hours for preparation time, 80 hours for painting, and 104 hours for firing, how many of each can be made?

What percent of the circle below is shaded?

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.)

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? select two of the following that apply.