Kesha is planning to rent a van for her trip to mt. rainier. two of her friends each rented the same type of van from the same car rental company last week. this is what they told her: john: “the cost of my rental was $240. the company charged me a certain amount per day and a certain amount per mile. i had the rental for five days and i drove it 200 miles.” katie: “the cost of my rental was only $100. i drove it for 100 miles and had it for two days.” kesha plans to get the same type of van that john and katie had from the same car rental company. kesha estimated her trip would be 250 miles, and she would have the vehicle

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. what is the probability that the applicant who gets the job plays drums or guitar?

If you prove that ∆wxz is congruent to ∆yzx, which general statement best describes what you have proved?

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.)