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a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain the partition of V induced by R.
b) Let A = {1, 2, 3, 4} and define R on P(A) -{Ø} by xRy iff x ∩y ≠Ø. Is R an equivalence relation? Describe
a. Estimate the following model, C t = β 0 + β 1 * DI t + ε t Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per
Find no. of non negative integral solutions x 1 +x 2 +x 3 +4x 4 =20 Solution) 140. Break them into prime factors . Put 4 = 2^2 and every variable will have factors in 2,3,5 with
Example of Exponential Smoothing By using the previous example and smoothing constant 0.3 generate monthly forecasts Months Sales Forecast
a) How many equivalence relations on {a, b, c, d, e, f} have b) How many arrangements are there of c) How many triangles are resolute by the vertices of a regular polygon w
The sum of the smallest and largest multiples of 8 up to 60 is?
How can I use the I=Prt formula to get the interest for this problem? A car dealer sells me a car for $16450 with $3,290 down and $339.97 monthly payments for 48 months. What is
Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute. a. How fast is a person rising when the person is 3 meters above the horizontal lin
a) Specify that a tree has at least 2 vertices of degree 1. b) What is the largest number of vertices in a graph with 35 edges if all vertices are
A person spent 12.5% of his money and then rs.1600 and then 40% of the remaining,now left rs.960 with him.What is his original money?
A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a) What cycle tim
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