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Chapter 8: Problem 20
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a card greater than 3 and less than 7 .
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A degree-day is a unit used to measure the fuel requirements of buildings. By definition, each degree that the average daily temperature is below \(65^{\circ} \mathrm{F}\) is 1 degree-day. For example, an average daily temperature of \(42^{\circ} \mathrm{F}\) constitutes 23 degree-days. If the average temperature on January 1 was \(42^{\circ} \mathrm{F}\) and fell \(2^{\circ} \mathrm{F}\) for each subsequent day up to and including January 10 , how many degree-days are included from January 1 to January \(10 ?\)
Use the formula for \(_{n} C_{r}\) to solve Of the 100 people in the U.S. Senate, 18 serve on the Foreign Relations Committee. How many ways are there to select Senate members for this committee (assuming party affiliation is not a factor in selection)?
Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.
Use the Binomial Theorem to expand and then simplify the result: \(\left(x^{2}+x+1\right)^{3}\) Hint: Write \(x^{2}+x+1\) as \(x^{2}+(x+1)\).
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the permutations formula to determine the number of ways the manager of a baseball team can form a 9 -player batting order from a team of 25 players.
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