Probability Basics Quick Check

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Question
A survey was conducted to determine students’ preferred learning style. The distribution of responses from the sample participants are summarized as follows:

This table presents the number of students who prefer auditory, visual, and kinesthetic learning styles.
Learning Styles Number of Students Who Prefer Each Style
auditory learning style 17
visual learning style 20
kinesthetic learning style 13

Write a ratio that compares the number of students who preferred a visual learning style to the number of student-participants of the survey. Write your answer in the simplest fraction form.(1 point)
Responses

20
20

23
Start Fraction 2 over 3 End Fraction

25
Start Fraction 2 over 5 End Fraction

35
Start Fraction 3 over 5 End Fraction
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Answer 1

To find the ratio that compares the number of students who preferred a visual learning style to the total number of student-participants, we first need to calculate the total number of students who participated in the survey.

From the data provided:

• Number of students who prefer auditory learning style: 17
• Number of students who prefer visual learning style: 20
• Number of students who prefer kinesthetic learning style: 13

Total number of students = 17 + 20 + 13 = 50

Now, we can compare the number of students who preferred the visual learning style (20) to the total number of student-participants (50):

The ratio is:

\[ \frac{20}{50} \]

Now we simplify this fraction:

\(\frac{20 \div 10}{50 \div 10} = \frac{2}{5}\)

So, the ratio in simplest form is:

\(\frac{2}{5}\)

Therefore, the correct answer is:

Start Fraction 2 over 5 End Fraction.