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a. An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
b. Find the number of ways to put eight different books in five boxes, if no box is allowed to be empty.
What would be the scheduling model for this situation (environment, restriction, constraints) if you wish to minimize the total time in system? Use the appropriate scheduling notation.
What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
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.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
I want to prove that a population mean is not 150. Use an alpha of 5 percent & set up the full, detailed, five step hypothesis test. Suppose when the sample 200 is taken the sample standard deviation is ten & the sample mean is 151.77.
In a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem
An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3
For what values or range of values are the following functions undefined
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