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A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set.
Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?
  • a)
    p > 0.20(300 − 36), where p ≤ 150
  • b)
    p > 0.20(300 + 36), where p ≤ 150
  • c)
    p − 36 > 0.20(300), where p ≤ 150
  • d)
    p + 36 > 0.20(300), where p ≤ 150
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A psychologist set up an experiment to study the tendency of a person ...
The total number of participants who chose the first picture is 36 + p. The total number of participants is 300.
We know that more than 20% of all participants chose the first picture, so the number of participants who chose the first picture is greater than 20% of 300, which is 0.2 * 300 = 60.
Therefore, the inequality that best describes the possible values of p is p > 60 - 36 = 24.
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A psychologist set up an experiment to study the tendency of a person ...
Of the first 150 participants, 36 chose the first picture in the set, and of the 150 remaining participants, p chose the first picture in the set. Hence, the proportion of the participants who chose the first picture in the set is  Since more than 20% of all the participants chose the first picture, it follows that  This inequality can be rewritten as p + 36 > 0.20(300). Since p is a number of people among the remaining 150 participants, p ≤ 150. 
Choices A, B, and C are incorrect and may be the result of some incorrect interpretations of the given information or of computational errors. 
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A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set.Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?a)p > 0.20(300 − 36), where p ≤ 150b)p > 0.20(300 + 36), where p ≤ 150c)p − 36 > 0.20(300), where p ≤ 150d)p + 36 > 0.20(300), where p ≤ 150Correct answer is option 'D'. Can you explain this answer?
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A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set.Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?a)p > 0.20(300 − 36), where p ≤ 150b)p > 0.20(300 + 36), where p ≤ 150c)p − 36 > 0.20(300), where p ≤ 150d)p + 36 > 0.20(300), where p ≤ 150Correct answer is option 'D'. Can you explain this answer? for SAT 2024 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set.Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?a)p > 0.20(300 − 36), where p ≤ 150b)p > 0.20(300 + 36), where p ≤ 150c)p − 36 > 0.20(300), where p ≤ 150d)p + 36 > 0.20(300), where p ≤ 150Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set.Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p?a)p > 0.20(300 − 36), where p ≤ 150b)p > 0.20(300 + 36), where p ≤ 150c)p − 36 > 0.20(300), where p ≤ 150d)p + 36 > 0.20(300), where p ≤ 150Correct answer is option 'D'. Can you explain this answer?.
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