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ght rooks are placed in distinct squares of an 8x8 chessboard, with all possible placements being equally likely. What is the probability that all rooks are safe from one another? (that there is no row or column that contains more than 1 rook)
The weight of a randomly chosen American passenger car is a uniformly distributed random variable ranging from 4,400 pounds to 6,500 pounds.
Solving problems on permutation and combination
a farmer wants to fence off land along a river into five equal areas by using on section of fence parallel to the river and six sections perpendicular to it. what should the dimensions be to maximize the total area using 1200 feet of fence?
a projectile is fired straight up with an initial velocity of 80 feet per second. Its height in feet after t seconds is s = -16t^2 + 80t. During what time period will the projectile be above 96 feet?
find the statistic that measures the width of dispersion (looseness or tightness) of the population data about its mean .
evaluate the derivative of the given function by using the definition of derivative.find the derivative of the
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
a page with length 3 inches more than its width has 80square inches of printed area. the margins at the top and bottom are each 1 inch wide. find the dimensions of the page.
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
Similarly, 2005 would be year 9, or x = 9 What is the slope, or rate of change, of this equation?
Examine the mapping of open [respectively, closed] intervals under the functions g(x) := 1/(x^2 + 1) and h(x) := x^3 for x in R
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