Asurvey asked 5,000 day cares across the country for their ratio of teachers to students. three thousand day cares responded that the ratio of teachers to students is greater than one to five.

which conclusion can be made about the population from this survey?
a.
most day cares have a teacher-to-student ratio greater than 1: 5.
b.
one-third of day cares have a teacher-to-student ratio of 1: 5.
c.
most day cares have a teacher-to-student ratio of 1: 5.
d.
sixty percent of day cares have a teacher-to-student ratio less than 1: 5.

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.)