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Suppose that 80 balls are placed in 40 boxes at random and independently. What is the variance of the number of the empty boxes.
What is the least amount of material that can be used to make a soup can with a circular base and closed top with capacity 6 cubic inches?
Explain the steps/elements of the "CSR at the heart of business" (read Achieving high performance, http://www.theworkfoundation.com/DownloadPublication/Report/311_Achieving_highperf_CSR.pd, pp. 24-32, and Simple steps to build your CSR strategy..
A medical prosthetics company charges a $350 setup fee and $5.50 per piece to make a plastic brace for patients with sprained wrists. Write an equation to model this cost of production, and calculate the cost of producing 3000 braces?
Give an example of two 4x4 nilpotent matrices which have the same minimal polynomial (they necessarily have the same characteristic polynomial) but which are not similar.
if
What are the possible numbers of minutes he has used his phone in a month?Use m for the number of minutes, and solve your inequality for m.
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?
What was Albert Einsteins most famous theory and why was it the most famous?
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
Now consider a large yam. Your mad scientist laboratory has a laser-cutter chamber in which you can mount the yam; the lasers are able to rotate around it so that cuts can be made at any angle. A cut yam is shown in Figure 9.2.
Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
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