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What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography. Why do you think prime numbers would be more useful for the creation of codes than composite numbers?
A computer network consists of six computers. Each computer is directly connected to at least one of the other computers. Show that there are at least two computers in the network that are directly connected to the same number of other computers
Given the curves r=2sin(θ) and r=2sin(2θ), 0 ≤ θ ≤ π2, find the area of the region outside the first curve and inside the second curve.
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
If you were to graph these functions, what feature would appear in the graph at the limiting value? Why?
Finding a simple random sample
Calculate the value of appropriate test statistic
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x^2+2x-35 . If there is more than one x -intercept, separate them with commas.
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
A corporation is considering a new issue of convertible bonds. Management believes that the offer terms will be found attractive by 20% of all its current stockholders. Suppose that this belief is correct. A random sample of 144 current stockholde..
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
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