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In a random sample of 200 U.S. adults, 152 have read at least one book in the past 12 months. Based on this information, approximately how many of the 255 million U.S. adults have not read a book in the past 12 months?
Choose 1 answer:
(A) 48 million
(B) 61 million
(C)
103 million
(D) 194 million

In a random sample of $200$ U.S. adults, $152$ have read at least one book in the past $12$ months. Based on this information, approximately how many of the $255$ million U.S. adults have not read a book in the past $12$ months? $\newline$ Choose $1$ answer: $\newline$ (A) $48$ million $\newline$ (B) $61$ million $\newline$ (C) $\mathbf{1 0 3}$ million $\newline$ (D) $\mathbf{1 9 4}$ million

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Solve a system of equations using any method: word problems

Full solution

Q. In a random sample of

200

U.S. adults,

152

have read at least one book in the past

12

months. Based on this information, approximately how many of the

255

million U.S. adults have not read a book in the past

12

months?

\newline

Choose

1

answer:

\newline

(A)

48

million

\newline

(B)

61

million

\newline

(C)

\mathbf{1 0 3}

million

\newline

(D)

\mathbf{1 9 4}

million

Determine Proportion of U.S. Adults: Determine the proportion of U.S. adults in the sample who have not read a book in the past $12$ months. $\newline$ Calculation: If $152$ out of $200$ have read a book, then $200 - 152$ have not read a book. $\newline$ $200 - 152 = 48$
Calculate Percentage of U.S. Adults: Calculate the percentage of U.S. adults in the sample who have not read a book. $\newline$ Calculation: $(48 / 200) \times 100$ to find the percentage. $\newline$ $(48 / 200) \times 100 = 24\%$
Estimate Number of U.S. Adults: Apply the percentage to the total U.S. adult population to estimate the number who have not read a book. $\newline$ Calculation: $24\%$ of $255$ million U.S. adults. $\newline$ $0.24 \times 255$ million = $61.2$ million
Round Result to Nearest Million: Round the result to the nearest million, as the answer choices are in whole millions. $\newline$ Calculation: $61.2$ million rounds to $61$ million.

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