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A villain known as The Joker is threatening to destroy a number of important pieces of infrastructure in Gotham City. The police commissioner has estimated that with an expenditure of $10 million per week (the city does not pay taxes), they can reduce the risk of an attack by half. Assuming an initial probability of 30% that the attack will succeed and no one is actually injured in the attack, what is the minimum amount of economic damage the Joker would have to inflict in an attack to justify this expenditure?
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book.
The sides of a triangle are in the ratio of 3:4:5. If the perimeter is 90 centimeters, find the length of each side. Use the Pythagorean Theorem to find the length of the missing side in right triangle. Triangle ABC with right triangle C.
The sequence of late times
Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
Deluxe coffee costs $6 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used to minimize costs?
What simpler function mimicks the global scale behavior of f[x]? f[x]=x^2
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
What is a complex fraction? What are the two ways to simplify a complex fraction? Show an example. What is the least common denominator? How do we use the least common denominator when adding rational expressions?
Search the internet to find two graphs to critique: one you evaluate to be a good graphical representation of the information presented and the other to be a poor graphical representation of the information presented.
Hypothesis test for single mean
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
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