A nut mixture of almonds and macadamia nuts at a small fair is $1.00 per pound of almonds and $5.93 per pound of macadamia nuts. Over the entire day, 102 pounds of the nut mixture were sold for $452.03. If p is the number almonds and n is the number of macadamia nuts, then the system of equations that models this scenario is: p+n=102 p+5.93n=452.03 Determine the correct description and amount of pounds for almonds and macadamia nuts that were sold. There were 71.0 pounds of almonds and 31.0 pounds of macadamia nuts sold at the fair. There were 4.0 pounds of almonds and 36.0 pounds of macadamia nuts sold at the fair. There were 31.0 pounds of almonds and 71.0 pounds of macadamia nuts sold at the fair. There were 36.0 pounds of almonds and 4.0 pounds of macadamia nuts sold at the fair. I don't know yet

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.

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

This is about circle theorems. someone asap : (