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1. In management, how important is it that you learn to use mathematics to solve problems? How valuable is an MBA degree without the ability to identify the cost of a company's capital, its return on investment, gross margin percentage, break-even point, or which percent of a population would be willing to buy its product?
2. What are the elements of a decision? How does statistical decision theory differ in conditions of certainty and uncertainty? When making a decision, can doing nothing be a valid alternative? Why?
the volume of a rectangular prism is 208 cm3. If the area of one end is 16 cm2, what is the lenght of the prism?
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
A motorboat travels 469km in 7 hours going upstream. It travels 493km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Relation between Cyclic Group and Abelian Group. If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic. Or, Every group of prime order is abelian.
Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain ..
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)
1. assume that the standard deviation of college student iqs is 10. a random sample of 100 students from a college
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Find the number of invertible elements in Z2000.
A 500g sample of an unknown material requires 750 calories of heat to raise its temperature by 50 degrees C. Use equation (1) and table 6.1 to identify the material.
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