G Suppose that we have a quadrature Qn using n+1 function evaluations that approximates the integral Z b a f(x)dx with the error Z b a f(x)dx − Qn(f) = a1 · sin(1/n) + a2 · (sin(1/n))2 + a3 · (sin(1/n))3 + . . . . Using Qn, Q2n and Q4n, perform 2 steps of Richardson’s extrapolation, i. e., write down the formula for the resulting method and express its error in terms of a power of 1/n.

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

Marco is studying a type of mold that grows at a fast rate. he created the function f(x) = 345(1.30)x to model the number of mold spores per week. what does the 1.30 represent? how many mold spores are there after 4 weeks? round your answer to the nearest whole number. 1.30 represents the number of mold spores marco had at the beginning of the study; 985 mold spores 1.30 represents the number of mold spores grown in a given week; 448 mold spores 1.30 represents the 30% rate of weekly growth; 345 mold spores 1.30 represents the 30% rate of weekly growth; 985 mold spores

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?