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1. in how many ways can five identical rooks be placed on the squares of an 8 by 8 board so that four of them forma the corners of a rectangle with sides parallel to the sides of the board.
2. consider and 9 by 9 board and nine rooks of which five are red and four are blue. suppose you place the rooks on the board in nonattacking positions at random. What is the probability that the red rooks are in rows 1,3,5,7,9? What is the probability that the red rooks are both in rows 1,2,3,4,5 and in columns 1,2,34,5?
Calculate the doubling time of a population.
It is estimated that the demand for a manufacturer's product is increasing exponentially at the rate of 2% per year. If the current demand is 5,000 units per year and if the price remains fixed at $400 per unit
What constitutes a rational expression? Please give an example for reference. How would you explain this concept to someone unfamiliar with it?
Evaluate the graph.
Let F, K be two fields, F is a subset of K and suppose f(x), g(x) Є F[x] are relatively prime in F[x]. Prove that they are relatively prime in K[x].
Linear equations in augmented form.
Find the solution for y
How many cashiers and how many pharmacists should they have on duty on average (assuming that one pharmacist works for the prescription of one customer)?
the standard error of the estimate indicatesselect onea. the typical distance between the regression line and each of
Show that a polynomial function is continuous at every point of R. Show that a rational function (a quotient of two polynomial functions) at every point where it is defined.
SAS (pronounced "sass"), which is short for Statistical Analysis System, began when it set out to create statistical software to help agricultural researchers who were studying the effects of soil, seeds, and the weather on crop yields. In 1970, rese..
suppose you want to make a rectangular garden with an area of 450 square feet. you want to use the side of your house
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