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A piece of wire 60 centimeters in length is to be cut into two pieces.One piece will ne beny into a square an the other piece will be bemt into an equilateral triangle. How should the wire be divided in order to minimize the total area enclosed?
The scores on a certain test are normally distributed with a mean score of 51 and a standard deviation of 2. What is the probability that a sample of 90 students
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
graph the two constraints associated with the amount of labor and material that Ryan has available next week. Using your graph, find the set of points that satisfy both constraints: 2X + 1Y
Find the first five positive deficient square pentagonal numbers. The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
the sum of two integers is 12. THE DIFFERENCE BETWEEN both reciprocal is 2/9. determine the two integers.
Sketch the graph of the solid bounded by Z^2 = X^2 + 4Y^2 and the Plane Z = 1, and hence evaluate its volume by triple integration.
suppose you are going a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model?
A car traveling along a straight road at 74 ft/sec accelerated to a speed of 89 ft/sec over a distance of 315 ft. What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
he first three characters of a car license plate number are letter characters. Car license plates can have repeats. For a), remember that the combination "AA" is possible.a) What's the probability of the first three characters being BAZ?
Use the Poisson Distribution to find the indicated probability.
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