Counterfeit and weighs less
Assume that we have the collection of six coins, exactly one of which is counterfeit and weighs less than each authentic coin. Use a decision tree to describe a method for indentifying the conunterfeit coin using two weighings of a balance scale.
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Compute the probability of getting B or better on Part 1 if she got B or better on Part 2? Are the events "getting B or better on Part 1" and "getting B or better on Part 2" independent?
Provide an example of three graphs G1 , G2 , and G3 of order 7 such that every vertex of each graph has degree 2, 3 or 4, where there is at least one vertex of each of these degrees and
Eight students in a class are asked how many of other seven students they know. One student knows all other students but only two students know the same number of students. Describe that these two students know each other.
Describe that K6 haves three spanning trees T1 , T2 , and T3 such that { E(T1), E(T2) , E(T3) } is the partition of E(K6) and the degrees of the vertices of each tree are 3, 3, 1, 1, 1, 1.
Two gasoline, type A and type B, have octane ratings of 80 and 92 respectively. Type A costs $2.13 per gallon as well as type B costs $3.28 per gallon. Find out the blend of minimum cost with an octane rating of at least 90. Determine the minimum
An oil tanker can be emptied by the main pump in four hours. an auxilary pump can empty the tanker in 9 hours. If the main pump started at 9a.m., when should the auxiliary pump be started so the tanker is emptied by noon?
Two cars are approaching an intersection. One is 3 miles South of the intersection and is moving at a constant speed of 40 mph. At the same time, the other car is 4 miles East of the intersection and is moving at a constant speed of 50 mph.
Let R be relation on Z such that xRy if and only if x.y is even. For each and every of the following question, if your answer is "no" provide counter example. If your answer is "yes" prove that relation has that property.
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