4. there are three children in a room, ages three, four, and five. if a four-year-old child enters the room the
(a) mean age will stay the same but the variance will increase.
(b) mean age will stay the same but the variance will decrease.
(c) mean age and variance will stay the same.
(d) mean age and variance will increase.
(e) mean age and variance will decrease.

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.)

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

From the beginning of the day the temperature rose 15 degrees so that by 4 pm it was 87 degrees. what was the temperature at the start of the day