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Adrian's CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD's, how many different combinations of six CD's can he put in the player?
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
Blood pressure measurements are taken on a set of patients before & after they receive a lumbar puncture [spinal tap]. You are interested in determining if there is a difference between mean arterial blood pressure between the pre & post measures. Wh..
Find the natural domain of the given functions.
In a certain fraction, the demoninator is 4 less than the numerator. If 2 is added to both the numerator and denominator, the resulting fraction is equal to 7/5. Find the original fraction
L1=Lo*sqrt(1-(v/c)^2) where Lo is length of an obiect at rest, c is velosity of light, v is velocity of the object. If L2=Lo*(c^2-v^2)/c^2, what is L1-L2?
Research fixed rate, ARM mortgages and balloon mortgages, then write an essay comparing them. What are some of the advantages and disadvantages of each? When might you find one type of mortgage loan beneficial over the other two?
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
For each of the following properties, find a binary relation R such that R has that property but R^2 (R squared) does not:
Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
The lifetimes of two car batteries (Brand A and B) are independent exponential random variables with means 12 hours and 10 hours, respectively.
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