An anthropologist wishes to estimate the average height of men for a certainrace of people. if the population standard deviation is assumed to be 2.5 inches andif she randomly samples 100 men, find the probability that the di↵erence between thesample mean and the true population mean will not exceed 0.5 inch. (hint: use the factthat ifx⇠n(μ, 2),then (xμ)/=z⇠n(0,1))

David must install fencing around a lot that is shaped like a right angle.the side of lot that runs east-west is 200 ft long.the side of the lot runs north-south is 125 ft long.calculate how many feet of fencing he will need to surround the entire lot.

What point is the projection of q on a) r b) s c) t

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem