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Consider the weighted voting system [18: 12, 10, 6].
Consider a sequential coalition {P1, P3, P2}. Who is the pivotal player?
implement the following Boolean function F, together with the don't care conditions d, USE NO MORE THAN TWO NOT GATES:
A machine produces widgets at a defective rate of 3%. A sample of 6 widgets is taken, What is the probability that 2 of them are defective?
Construct a phrase-structure grammar for the set of all fractions of the form a/b, where a is a signed integer in decimal notation and b is a positive integer.
Problem 1 Below is part of the graph of 5x3y - 3xy2 +y3 = 6. Verify that (1,2) is a point on this curve. There's a nearby point on the curve whose coordinates are (1.07, u). What is an approximate value for u? There's a nearby point on the curve whos..
Add up the sizes of the faces in each graph drawing you have made. What seems to be true about the sum of the face sizes of a graph? Explain why this is so.
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
Let (X, d) be a metric space. If A C X and c z 0, let U(A, E) be the E- neighborhood of A. Let 3t' be the collcction of all (nonempty) closed, bounded subsets of X. If A, B E X, define D(A, B) = inf(~ 1 A C U(B, E) and B C U(A, 6)).
Use this property to show that every positive integer greater than one can be written as the product of primes.
When she returns home against the same current it takes 4 hours. Findd the speed in still water and the distance one-way.
Define a pushdown automaton. Explain how pushdown automata are used to recognize sets. Which sets are recognized by pushdown automata? Provide an outline of a proof justifying your answer.
The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probabilitythat both songs are country songs? Write your answer as a fraction in simplest form.
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