The function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. which function is correct for jan's purpose, and what is the new growth rate?

Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?

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?

One x-intercept for a parabola is at the point (1,0). use the factor method to find x-intercept for the parabola defined by the equation y=-3x^2+5x+2