12. The total number of people who have entered a museum
on a certain day is modeled by a function f(t), where t is measured in hours since the museum opened
that day. The total number of people who have left the museum since it opened that same day is
modeled by a function g(t). Both f(t)and g(t) are defined on the interval [1,10].
You are given that f'(t) = 380(1.02) and g'(t) = 240 + 240 sin (62).
a. Write a function that represents the rate at which the number of people in the museum is
changing at time t.

Name the most appropriate metric unit for each measurement

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Which of the following statements would be sufficient to prove that parallelograms pqrs is a rectangle ?