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Problem:
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
Find the fraction interms of LCM using given fraction - Evaluate the fraction in terms of LCM
Two boxes of light bulbs are in a warehouse. Box 1 contains 95 good bulbs and 5 defective bulbs, while box 2 contains 90 good and 10 defective bulbs.
Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G')
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
The Knicks won the first game against the Lakers in a basketball playoff. If the first team to win four games is the winner, construct a tree diagram for this playoff.
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
If a system of nonlinear equations contains one equation whose graph is a circle and another equation whose graph is a line, can the system have exactly one solution?
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
Determine q such that the system-Has no solution
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.
What is the prior probabilty that she will complete the degree, Given that she scores 575 on the GMAT test, what is posterior probability that she will complete her MBA
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