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How do you solve a system of linear equations by elimination? Give an example and explain.
Describe an algorithm whose input is a matrix, and whose output is its reduced row echelon form. (Describe the algorithm in plain English. Note that the existence of such an algorithm implies that any matrix can be put in reduced row echelon form aft..
application of the normal distribution let x denote the time taken to runner a road race. suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 21 minutes. if one runner is selected at random what i..
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
Find an equation of the line tangent to the following curves at the given value of x. Use a graphing utility to plot the curve and the tangent line.
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
The school's graduates find jobs in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her field within a year of graduating.
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
Calculate the per capita cost per police officer. Explain why increased population can result in increased per capita taxes, even though the per-capita cost per police officer declines with population.
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
If q is the number of quarts of lemonade, than 1/4 q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade?
Let m and n be positive integers with n dividing m. Prove that the natural surjective ring projection Z/mZ ->Z/nZ is also surjective on the units:(Z/mZ)^x ->(Z/nZ)^x
s to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
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