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Question: Concern the problem of identifying a counterfeit coin (one that is two heavy or too light) from a set of n coins. A balance scale is used to weigh a group of any number of coins from the set against a like number of coins from the set. The outcome of such a comparison is that group A weighs less than, the same as, or more than group B. A decision tree representing the sequence of comparisons done will thus be a ternary tree, where an internal node can have three children.
One of eight coins is counterfeit and is either too heavy or too light. The problem is to identify the counterfeit coin and determine whether it is heavy or light.
a. What is the number of final outcomes (the number of leaves in the decision tree)?
b. Find a lower bound on the number of comparisons required to solve this problem in the worst case.
c. Devise an algorithm that meets this lower bound (draw its decision tree).
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the measures of three of the angles of a quadrilateral are 67 degrees 112 degrees and 55 degrees. what is the measure of the fourth angle?
Determine the probability using formula or Technologyla given the number of trials and the success probability for Binomial probability distribution. Let X denote the total number of successes. Round to three decimal places.
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fifty-five percent of registered voters in a congressional district are registered democrats. the republican candidate
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Determine the fundamental frequency, fundamental radian frequency, and period of the following: (a) 5 sin 9t: (5) 200 cos 70t, (c) 4 sin (4t- 10°); (or) 4sin (4t + 100).
Why did Chavez decide to nationalize Cargill? Do you think he was justified?If you were the executive of Cargill, what would you do?
Solve, assuming a linear equation fits the situation The value of a graphing calculator is $225. After 2 years, the value of this calculator is $160. Find the value of the calculator after 5 years.
We-Are-There-To-Get-You Loan Company lends you $550 if you agree to pay $750 after 5 days. If you kept the money for a year on the same terms, how much will you owe at the end of the year? Assume the company compounds money on a 5-day basis and a ..
Find x such that T (x) = (3, 8)
Which of the following might be inferior goods? Could they be normal goods at some portion of the income scale and inferior goods at others?
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