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Given positive integers m and n, generate m random permutations of the first n positive integers. Find the number of inversions in each permutation and determine the average number of these inversions.
During the first part of a trip,a canoeist travels 41 miles at a certain speed. The canoeist travels 4 miles on the second part of the trip at a speed 5mph slower. The total time for the trip is 5 hours. What was the speed on each part of the trip..
Estimate the rate of chnage of the total mass of the fetus dm/dt dm/dt= __g per day
Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y = 9
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
The perimeter of a swimming pool is 97m. The width is 2m more than helf of lenght of the pool, find the lenght and the width of the pool?
This plot represents a function. Remember that a closed circle (a dot) on a point indicates the point is plotted, while an open circle indicates that point is not plotted. So, for example, the point (2,2) is plotted, but the point (3,2) is not. De..
If an open box has a square base and a volume of 106 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Given the number of elements in the intersection of three sets, the number of elements in each pairwise intersection of these sets, and the number of elements in each set, find the number of elements in their union.
Ratios and Proportions using variables. If 5 sweaters cost $61.55, how much would 9 sweaters cost
Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game two persons (or objects) are traveling along linear paths
A bill has just been introduced in the Legislature, with wide bi-partisan support, that would create a database for creating a "network" of information by which to track non-documented workers and potential terrorists. The information that would b..
In 2006, Jenny began selling magazines. The company sold Jenny a beginning packet for $250.00. Jenny's cost for each magazine is 10% of the sales price.
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