1. ki’von has a sink that is shaped like a half-sphere. the sink has a diameter of 20 inches. one day, his sink clogged. he has to use one of two different cups to scoop the water out of the sink. the sink is completely full when ki’von begins scooping. (a) what is the exact volume of the sink? show your work. (b) one conical cup has a diameter of 8 in. and a height of 6 in. how many cups of water must ki’von scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work. (c) one cylindrical cup has a diameter of 4 in. and a height of 6 in. how many cups of water must he scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work.

Reflect the point (7,0) across the y-axis

Which expression is equal to (21)(7)(3x) using the associative property? (21 · 7 · 3)x (7)(21)(3x) 32(7 + 3x) (3x)(7)(21)

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000