(it's due by midnight)

how many people have to be in a room in order that the probability that at least two of them celebrate their birthday on the same day is at least 0.15? (ignore leap years, and assume that all outcomes are equally likely)

Type the correct answer in the box. function f, shown below, is translated down 3 units and left 4 units to create function g. f(x)= 3|x-2|-5 fill in the values of a, h, and k to write function g

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.

Solve each equation using the quadratic formula. find the exact solutions. 6n^2 + 4n - 11