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alan is building a garden shaped like a rectangle with a semicircle attached to one short side. if he has 60 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Formulate this problem as an LP solve using Solver in Excel, From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have..
Give an example which shows that in the matrix chain multiplication problem, adding a matrix on the right can force the breakpoint to the left. You can find an example using just 4 matrices
Formulate a mathematical program that can be used to determine where the "hub" should be located in the plane. Clearly define your decision variables, objective and constraints
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
Resigning Probabilities, A company finds that on average 20% of all new employees resign during their first year of employment
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}).
Find the range of optimality for Cx, You are given a linear programming problem that has already been solved. The following conditions hold
What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?
In a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of P (yellow or green)? Choose the best answer from the options below
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
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