The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by the formula S = 5.5D(F+f), where F is the coefficient of
friction, f is the superelevation and D is the length of the skid marks in feet. After an
accident, a driver claims to have been traveling the speed limit of 55 mph. The
coefficient of friction under the accident conditions was 0.75 and the superelevation
was 0.05. How long should the skid marks actually measure if the driver was in fact
going 55 mph?
85ft
125ft
150ft
101Ft

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.)