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The width of a rectangular swimming pool is 10 feet less than the length of the swimming pool. The surface area of the pool is 600 square feet. What are the length and the width of the pool. You must know the formula for area of a rectangle in order to solve this problem.
Given a unit line segment AB (2 cm) construct a segment of length (1+Sqrt[5])/2. Given the unit segment above and construct a segment of length Sqrt[2/3]
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.08 foot thick, and when the radius is 750 feet, the radius of the slick if increasing at the rate of 0.5 foot per minute. At what rate (in cubic feet per minut..
Determine the dean's optimal strategy. The dean of the School of Business at Northern Connecticut State University has been approached by a government agency in Hunan Province, China, to provide MBA training to a group of 30 midlevel officials
Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work
Mathematicians say that division by zero is forbidden. The expression 5/0, for example, is undefined. "Undefined" in this sense means "unable to be determined". Why is this?
Let f : [0,1]-->[0,1] be a continuous function. Show that there exists a real number x in [0,1] such that f(x)=x (apply the intermediate value theorem to the function f(x) -x).
A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.
What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.
Define a relation R as the set of all pairs of bit strings (x, y) where x and y are bit ?strings with the same number of 0's. Prove R is an equivalence relation.
Calculate the operating cost and probability values
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
Different ways to schedule appearances of 4 performers. There are 4 performers who will present their comedy this weekend at a comedy club
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