Use the image below to answer the following question: a right triangle is shown. the two angles that are not 90 degrees are marked x and y. the leg across from angle y measuring 12, another leg across from angle x measuring 16, and the hypotenuse measuring 20. what relationship do the ratios of sin x° and cos y° share?
the ratios are opposites (16 over 20 and negative 16 over 20)
the ratios are both identical (16 over 20 and 16 over 20)
the ratios are both negative (negative 16 over 20 and negative 16 over 20)
the ratios are reciprocals (16 over 20 and 20 over 16)

What is the volume of this square pyramid?

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.