Phil has 7 green marbles and 3 purple marbles in a bag. he removes a marble at random, records the color, puts it back, and then repeats this process until he has withdrawn 6 marbles. what is the probability that exactly three of the marbles that he removes are green? express your answer as a decimal rounded to the nearest thousandth.

If you shift the linear parent function, f(x)=x, up 13 units, what is the equation of the new function?

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

The lengths of two sides of a right triangle are given. find the length of the third side. round to the nearest tenth if necessary. a) y = 12/5x + 39/5 b) y = 5/12x + 5/39 c) y = 12/5x - 39/5 d) y = 5/12x - 5/39