From point P on the ground, the distance to an airplane is 3000 meters. When the altitude of the plane is 1000 meters, what is the angle of elevation of the airplane, to the nearest degree?

On average, how many more hits will he get when he bats 100 times at home during the day as opposed to 100 times away at night?

Find the center and the radius of the circle with the equation: x^2-2x+y^2+4y+1=0?

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.)