samshareef595

Assume that females have pulse rates that are normally distributed with a mean of = 72.0 beats per minute and a standard deviation of = 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 less than 78 beats per minute.

The probability is ____.

(Round to four decimal places as needed.)

b. If 16 adult females are randomly selected. find the probability that they have pulse rates with a mean less than 78 beats per minute.

The probability is ____.

(Round to four decimal places as needed.)

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

◯ A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

◯ B. Since the original population has a normal distribution, , the distribution of sample means is a normal distribution for any sample size.

◯ C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

◯ D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

The derivative of F... F' (x)= (x+1)(x-3)/((x-1)^2)^(1/3)

Find the critical points of F and classify as a local max ormin.

The measure of central angle PTQ is π2 radians. what is the area of the shaded sector? 

(a) 8π unit²,

(b)4π unit²,

(c)12π unit²,

(d)16π unit².

Consider the equation x^2-4x-5y^2-10y=25.

a. what is the center of the hyperbola?
b. what are the coordinates of the major axis endpoints?
c. what are the coordinates of the minor axis endpoints?
d. what are the coordinates of the foci?
e. what are the equations of the oblique asymptotes? (give answerin point-slope form)

I do get that I need to complete the square, but somehow the a andb's turn out negative. And so when I need to find out the endpointsof each type of axis, I don't really get how that works..pleaseexplain and put the answer. [: