Lorraine turns on her oven to roast vegetables. The oven warms to the desired temperature in 10 minutes. She turns off the oven about an hour later. The function f (t)represents the
temperature, in degrees, inside the oven tminutes after turning it on.
Which statements about this situation are most likely true? Choose all that are correct.

A. Given f(5)
B. Given f(0) = f(400), this most likely means the highest temperature the oven reached was
400 degrees.

C. Given f(5)
D. It is unlikely that f(30) = f(45)since 30 45.

E. It is likely that f (30) = f(45) since the oven should have stayed at a steady temperature
between 30 and 45 minutes.

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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.)

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable