Amanufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. each bottle of cappuccino requires 6 ounces of coffee and 2 ounces of milk and earns a profit of $0.40. each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. the manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. to meet demand, the manufacturer must produce at least 80 coffee drinks each day. let x = the number of cappuccino bottles and y = the number of café au lait bottles. identify the constraints on the system other than x ≥ 0 and y ≥ 0. x + y 80 0.4x + 0.5y 100 6x + 4y 720 2x + 4y 400 6x + 2y 720 4x + 4y 400 complete the objective function. p = x + y

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 number line correctly shows 0.8 + 0.3?

Afigure is rotated 180°. if one of the points on the image is g'(4, -8), what were the coordinates of g? (8,4) (8,-4) (4,8) (4,8)