Broccoli tastes bitter to some people. This bitterness is inherited through the TAS2R38 gene. About 52% of the population has this gene. You want to estimate the proportion of Americans who have this gene. How large a sample must you test, with a 5% margin of error and 90% confidence, to estimate the proportion of people who carry the TAS2R38 gene?

100 people
10,000 people
271 people
37 people
514 people

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.