John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is . The probability that he throws the dart into the 10-point ring is . What is the probability that he either hits a Bull’s eye or scores 10 points?

What is the solution to this system of equations? y= 2x - 3.5 x - 2y = -14

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.)

Felix wrote several equations and determined that only one of the equations has no solution. which of these equations has no solution?