(-8p^3+9p^2q-5pq^2) +(8p^3-pq+5q^2)=(−8p
3
+9p
2
q−5pq
2
)+(8p
3
−pq+5q
2
)

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

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?

1.what effect does replacing x with x−4 have on the graph for the function f(x) ? f(x)=|x−6|+2 the graph is shifted 4 units up. the graph is shifted 4 units down. the graph is shifted 4 units left. the graph is shifted 4 units right. 2.what are the coordinates of the hole in the graph of the function f(x) ? f(x)=x^2+3x−28/x+7 3.which graph represents the function?