At a certain college, 45% of the students are female, and 17% of the students major in civil engineering. Furthermore, 12% of the students both are female and major in civil engineering.

(a)What is the probability that a randomly selected female student majors in civil engineering? Round your answer to the nearest hundredth.

(b)What is the probability that a randomly selected civil engineering major is female? Round your answer to the nearest hundredth.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.