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Chapter 14: Problem 20
If 16 is the average (arithmetic mean) of \(p, 24,\) and \(q,\) what is \(16(p+q) ?\) a. 180 b. 192 c. 384 d. 524 e. 768
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What is the greatest distance between two vertices of a rectangular solid with a height of \(5,\) a length of \(12,\) and a volume of \(780 ?\) a. 12 b. \(12 \sqrt{2}\) c. 13 d. \(13 \sqrt{2}\) e. \(13 \sqrt{3}\)
If three boys and three girls sit in a row on a park bench, and no boy can sit on either end of the bench, how many arrangements of the children on the bench are possible? a. 46,656 b. 38,880 c. 1,256 d. 144 e. 38
At a dog show, there are 20 judges and 10 dogs in the final round. Quantity \(\mathbf{A}\) The number of distinct pairs of judges Quantity \(\mathbf{B}\) The number of possible rankings of dogs from first to third place a. Quantity A is greater b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given.
If \(4^{x}=1,024,\) then \(\left(4^{x+1}\right)\left(5^{x-1}\right)=\) a. \(10^{6}\) b. \(\left(5^{4}\right)\left(10^{5}\right)\) c. \(\left(4^{4}\right)\left(10^{5}\right)\) d. \(\left(5^{4}\right)\left(10^{4}\right)\) e. \(\left(4^{4}\right)\left(10^{4}\right)\)
Roberta drove 50 miles in 2 hours. Her rate in miles per hour is equivalent to which of the following proportions? Indicate all such proportions. a. 5 to 20 b. 100 to 4 c. 400 to 16 d. 20 to 500 e. 520 to 20
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