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Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
Probability and Random Selection, A 4 person grievance committee is to be composed of employees in 2 departments, A and B, with 15 and 20 employees
The Golding Discount Department Store: Excel Queuing System Problem, The Golding Discount Department Store has approximately 300 customers shopping in its store between 9am and 5pm on Saturdays. In deciding how many cash registers to keep open each..
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
What is the probability of rolling a total of 7 in two rolls of a standard dice if you get an even number on the first roll?
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
What are some of the benefits of being able to find the expected value of a probability distribution? Give an example of how this could be used your advantage in a business setting
Risk-adjusted NPV of Projects. The Bartram-Pulley Company (BPC) must decide between two mutually exclusive
Calculate the breakeven point
Calculating the height of the statue - find out how high is the statue?
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