Maximize q=xy^2, where x and y are positive numbers, such that x + y^2=10

What is the length of the unknown leg in the right triangle ?

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

Atemperature of 1.64◦f corresponds to answer in units of ◦c.