Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o = 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 82 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 82 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 distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.
b. since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.
c. since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.
d. since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

answer: i think it's a

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168