Asquare playground has a white line drawn through its diagonal. this creates two triangles whose angle measures are 45°, 45°, and 90°. if the sides of the playground are 55 feet, use trigonometric functions to find the approximate length, x, of the diagonal. round answer to tenths.

Azul has 4 green picks and no orange picks. you add orange picks so that there are 2 orange picks for every 1 green pick. how many picks are there now.

Y< 2x-3 y? mx+3 which value of m and which symbol result in the system of inequalities shown above having no solution? a) m=-2; > b) m=-1/2; < c) m=2; > d) m=2;

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?