Suppose a math class contains 35 students, 13 females (five of whom speak French) and 22 males (six of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is male.

Aflower has 26 chromosomes. to create a new flower, how many chromosomes would a sperm cell have? what is this process called? part 2: within a flower cell that has 26 chromosomes, how many chromosomes would a cell that is created within the stem of a flower as it grows, have? what is this process called?

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle