Instructions: select the correct answer. luke picks a card from a set that contains the kings and queens from all four suits. he selects a card 80 times and records the results in this table. luke replaces the cards after each selection. card times drawn king of hearts 4 king of spades 11 king of clubs 20 king of diamonds 5 queen of hearts 8 queen of spades 2 queen of clubs 4 queen of diamonds 26 which statement is true based on the results in the table? a.) all of the outcomes are not equally likely because there is a variation in their relative frequencies. b.) all of the outcomes are not equally likely because the sum of the frequencies does not equal 100. c.) all of the outcomes are equally likely because the relative frequencies of all the outcomes are almost equal. d.) all of the outcomes are equally likely because the total relative frequency of the kings and queens of all suits is the same.

Find the sum of the first 8 terms of the following sequence. round to the nearest hundredth if necessary.

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.

Lance lived in portugal and brazil for a total of 14 months to learn portuguese. he learned an average of 130 new words per month when he lived in portugal, and an average of 150 new words per month when he lived in brazil. in total he learned 1920 new words. write a system of equations to represent the situation. use x to represent portugal, and y to represent brazil