Select each of the following experiments that are binomial experiments:

a) Drawing 3 balls without replacement from a box that contains 10 balls, 4 of which are red and 6 are blue and observing the colors of the drawn balls.
b) Drawing 3 balls with replacement from a box that contains 10 balls, 4 of which are red and 6 are blue and observing the colors of the drawn balls.
c) Selecting a few households from New York City and observing whether or not they own stocks when it is known that 40 % of all households in New York City own stocks.

The height of a triangle is 4 in. greater than twice its base. the area of the triangle is no more than 168 in.^2. which inequalitycan be used to find the possible lengths, x, of the base of the triangle?

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.)

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36