A 4 sided polygon has the following: One side is 6 cm less than the bas The 2nd side is twice as long as the base The 3rd side is 8 cm more than the 2nd side. If the perimeter of the polygon is 122 cm, what are lengths of the sides?

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

Simplify the rational expression. state any restrictions on the variable. t^2-4t-12 / t-8 the / is a fraction sign.

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 12.5 beats per minute. complete parts (a) through (c) below. a. if 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?