Acertain delivery service offers both express and standard delivery. 75% of parcels are send by standard delivery and 25% are send by express. of those sent standard, 80% arrive the next day, and of those sent express, 95% arrive the next day. a record of parcel delivery is chosen at random from the company's files.

given that the package did not arrive the next day, what is the probability that it was sent standard?

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.