In Friday’s volleyball game, Sam’s team scored a point in 16.5% of his serves. Which of the following statements is true? A. The team scored in more than 16 of Sam's serves. B. The team scored in less than 110 of Sam's serves. C. The team scored in exactly 17 of Sam's serves. D. The team scored in more than 18 of Sam's serves.

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ustsr

The true statement is:

D. The team scored in more than 1/8 of Sam's serves.

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Further explanation

Complete Question:

In Fridays volleyball game, Sams team scored a point in 16.5% of his serves. Which of the following statements are true? ( Express your answer as a fraction)

A) The team scored in more than 1/6 of Sam's serves.

B) The team scored less than 1/10 of Sam's serves.

C) The teams scored in exactly 1/7 of Sam's serves.

D) The teams scored in more than 1/8 of Sam's serves

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Given:

Team's score = 16.5% of Sam's Serves

Asked:

Fraction of Team's Score = ?

Solution:

[tex]16.5 \% = \frac{16.5}{100} = \frac{33}{200}[/tex]

Option A:

[tex]\frac{1}{6} = \frac{1}{6} \times 100\% = 16.7\%[/tex]

The team scored in less than 1/6 of Sam's serves.

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Option B:

[tex]\frac{1}{10} = \frac{1}{10} \times 100\% = 10\%[/tex]

The team scored in more than 1/10 of Sam's serves.

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Option C:

[tex]\frac{1}{7} = \frac{1}{7} \times 100\% = 14.2\%[/tex]

The team scored in not exactly 1/7 of Sam's serves

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Option D:

[tex]\frac{1}{8} = \frac{1}{8} \times 100\% = 12.5\%[/tex]

The team scored in more than 1/8 of Sam's serves.

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Conclusion:

The true statement is:

D. The team scored in more than 1/8 of Sam's serves.

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Answer details

Grade: College

Subject: Mathematics

Chapter: Ratio

Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns  

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The question options are;

A) The team scored in more than 1/6 of Sam's serves

B) The team scored in more than 1/10 of Sam's serves

C) The team scored in more than 1/7 of Sam's serves

D) The team scored in more than 1/8 of Sam's serves

The option that gives the true statement given that the team scored in 16.5% of the Sam's serves is the option;

A. The team scored in more than 1/6 of Sam's serves

Reason:

Given parameter;

The percentage of Sam's serves in which the team scored a point = 16.5%

Solution:

From the given options we have;

1/6 × 100 = 16.[tex]\overline 6[/tex] %

1/10 × 100 = 10%

1/7 × 100 = 14.3%

1/8 × 100 = 12.5 %

Therefore, the closest option to the the given percentage, 16.5%, is 16.[tex]\overline 6[/tex] %,

which is 1/6, which gives the true statement as the option;

A. The team scored in more than 1/6 of Sam's serves

Learn more here:

https://brainly.com/question/20516279