For each 8 mm of coloured fabric Peter uses to make his curtains, he also uses 1.5 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Asocial networking site currently has 400,000 active members, and that figure is predicted to increase by 32% each year. the following expression represents the number of active members on the site after t years.

Suppose you have 10 skittles. 5 green and 5 red. you choose 4 without looking. what is the probability that all 4 skittles will be green?

Calculate ∬y da where r is the region between the disks x^2+y^2 < =1 & x^2+(y-1)^2 < =1 show all work. (also explain why you split up the regions)