According to a study, the probability that a smoker will quit smoking increases with the smoker's educational level. The probability (expressed as a percent) that a smoker with x years of education will quit is approximated by the equation f(x) = 0.831x² - 18.1x + 137.3 (for 10 ≤ x ≤ 16).† (a) Find (12). (Round your answer to three decimal places.) f(12) = 39.764 Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] A smoker who is a high school graduate has a X% chance of quitting. Find f'(12). (Round your answer to three decimal places.) f'(12) = 1.844 Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] When smoker has a high school diploma, the chance of quitting is increasing ✓ (b) Find (16). (Round your answer to three decimal places.) f(16) = Interpret this number. [Hint: x = 16 corresponds to a college graduate.] A smoker who is a college graduate has a Find f'(16). (Round your answer to three decimal places.) f'(16) = % chance of quitting. at the rate of Interpret this number. [Hint: x = 16 corresponds to a college graduate.] When a smoker has a college diploma, the chance of quitting is ---Select-- at the rate of X% per year of education. per year of education.

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Chapter1: Combinatorial Analysis
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According to a study, the probability that a smoker will quit smoking increases with the smoker's educational level. The probability (expressed as a percent) that a smoker with x years of
education will quit is approximated by the equation f(x) = 0.831x² 18.1x + 137.3 (for 10 ≤ x ≤ 16).t
(a) Find f(12). (Round your answer to three decimal places.)
f(12) = 39.764
✓
Interpret this number. [Hint: x = 12 corresponds to a high school graduate.]
A smoker who is a high school graduate has a
X % chance of quitting.
Find f'(12). (Round your answer to three decimal places.)
f'(12) = 1.844
✓
Interpret this number. [Hint: x = 12 corresponds to a high school graduate.]
When a smoker has a high school diploma, the chance of quitting is increasing ✓
(b) Find f(16). (Round your answer to three decimal places.)
f(16) =
Interpret this number. [Hint: x = 16 corresponds to a college graduate.]
A smoker who is a college graduate has a
Find f'(16). (Round your answer to three decimal places.)
f'(16) =
% chance of quitting.
at the rate of
Interpret this number. [Hint: x = 16 corresponds to a college graduate.]
When a smoker has a college diploma, the chance of quitting is ---Select--- at the rate of
X% per year of education.
% per year of education.
Transcribed Image Text:According to a study, the probability that a smoker will quit smoking increases with the smoker's educational level. The probability (expressed as a percent) that a smoker with x years of education will quit is approximated by the equation f(x) = 0.831x² 18.1x + 137.3 (for 10 ≤ x ≤ 16).t (a) Find f(12). (Round your answer to three decimal places.) f(12) = 39.764 ✓ Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] A smoker who is a high school graduate has a X % chance of quitting. Find f'(12). (Round your answer to three decimal places.) f'(12) = 1.844 ✓ Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] When a smoker has a high school diploma, the chance of quitting is increasing ✓ (b) Find f(16). (Round your answer to three decimal places.) f(16) = Interpret this number. [Hint: x = 16 corresponds to a college graduate.] A smoker who is a college graduate has a Find f'(16). (Round your answer to three decimal places.) f'(16) = % chance of quitting. at the rate of Interpret this number. [Hint: x = 16 corresponds to a college graduate.] When a smoker has a college diploma, the chance of quitting is ---Select--- at the rate of X% per year of education. % per year of education.
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