To make a friendship bracelet, some long strings are lined up; then, one string is tied in a knot with each of the other strings to create a row of knots. a new string is chosen and knotted with the all the other strings to create a second row. this process is repeated until there are enough rows to make a bracelet to fit around your friend's wrist. are the number of knots proportional to the number of rows? explain your reasoning.

7(x - 2) = 3(x + 4) solve the following equation. then enter your answer in the space provided using mixed number format.

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 parabolas opens down?