77% of all americans live in cities with population greater than 100,000 people. if 49 americans are randomly selected,
find the probability that
a. exactly 38 of them live in cities with population greater than 100,000 people.
b. at most 37 of them live in cities with population greater than 100,000 people.
c. at least 39 of them live in cities with population greater than 100,000 people.
d. between 36 and 42 (including 36 and 42) of them live in cities with population greater than 100,000 people.

The area of an extra large circular pizza from gambino's pizzeria is 484 pi cm squared . what is the diameter of an extra large pizza from gambino's pizzeria?

What are the possible rational zeros of [tex]f(x) = x^4+2x^3-3x^2-4x+18[/tex]

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.