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Let K be a normal subgroup of G, and both K and G/K are simple.
Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Explain Stock probability, We have been informed that the stock has gone up 20%. What is the probability of a rise or fall in the GDP?
Evaluate the matrix of transformation
A manufacturing company has 10 machines in continous operation during a workday. The probability that an individual machine will break down during the day is .10
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
performs the study for this product, the results predict the market will be good. Given the results of the study, what is the probability that the market will be good?
Problems on Ages and Finding the measure of an angle with the given two sides.
Space Constrained Inventories, A grocer has exactly 1,000 square feet available to display and sells 3 kinds of vegetables. The space consumed by each kind of vegetable is proportional to its cost
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
Primal LP and Optimal, Find the dual to this primal LP and its optimal solution
Computing probability, mean and standard deviation for the given information and evaluate the mean number of sales expected.
What is the probability of getting an A on the exam? What is the probability of getting an A in the course?
What proportion of time does Dr. Smith eat a home lunch? d. If Taco Bell costs $3 and a home lunch costs $1 and the Springdale room is free, then how much lunch budget should he allow for his semester, which includes 100 lunches?
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