An office supply store sells pencils individually or by the case. pencils purchased individually cost $0.97 each. one case of forty pencils costs $37.20. you have an annual budget of $95.00 for pencils. without exceeding the annual budget of $95.00, you can purchase full cases of

Find the pattern and use it to list the nth term in the sequence. 6, 12, 20, 30, 42, 56, the nth term of the sequence is

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?

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.