Mersenne primes. As of February 2016, the largest known Mersenne prime was 274, 207, 281−1, which we will call m . If we were to write out m , it would have 22, 338, 618 digits. To put the size of this number in perspective, assume that a typical page in your word processor has 30 lines with 72 characters per line. Do the following calculations: a. Divide 22, 338, 618 by the number of characters per page to find the number of pages that would be required to print out m . b. Take the number of pages that you found in part (a) and multiply it by 11 inches to determine the length of the paper (in inches) required to print m . Next, divide this number by 12 to find the length of the paper in feet. c. Divide the number that you found in part (b) by 5, 280 (the number of feet in 1 mile) to determine the length of the paper in miles.
Mersenne primes. As of February 2016, the largest known Mersenne prime was 274, 207, 281−1, which we will call m . If we were to write out m , it would have 22, 338, 618 digits. To put the size of this number in perspective, assume that a typical page in your word processor has 30 lines with 72 characters per line. Do the following calculations: a. Divide 22, 338, 618 by the number of characters per page to find the number of pages that would be required to print out m . b. Take the number of pages that you found in part (a) and multiply it by 11 inches to determine the length of the paper (in inches) required to print m . Next, divide this number by 12 to find the length of the paper in feet. c. Divide the number that you found in part (b) by 5, 280 (the number of feet in 1 mile) to determine the length of the paper in miles.
Solution Summary: The author explains how the theoretical statement can be converted into a mathematical statement by assuming some variable for the unknowns in the statement and applying suitable algebraic method.
Mersenne primes. As of February 2016, the largest known Mersenne prime was 274, 207, 281−1, which we will call m. If we were to write out m, it would have 22, 338, 618 digits. To put the size of this number in perspective, assume that a typical page in your word processor has 30 lines with 72 characters per line. Do the following calculations:
a. Divide 22, 338, 618 by the number of characters per page to find the number of pages that would be required to print out m.
b. Take the number of pages that you found in part (a) and multiply it by 11 inches to determine the length of the paper (in inches) required to print m. Next, divide this number by 12 to find the length of the paper in feet.
c. Divide the number that you found in part (b) by 5, 280 (the number of feet in 1 mile) to determine the length of the paper in miles.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Chapter 6 Solutions
Mathematics All Around, Books a la carte edition (6th Edition)
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