Please tell me if I am doing my fractions correctly. Thanks.

Question

Use the table to answer the question.
Hip-Hop Pop Totals
10th Grade 112 53 165
11th Grade 98 147 245
*******Total 210 200 410
Examine the data from a survey of 10th and 11th graders about which music genre they prefer.
Using relative frequencies, which of the following is true?

A. If you like pop, you are more likely to be a 10th grader= 53/200 about 26.5%
B. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade= 112/210=53.3% and 98/210= 46.6%
C. If you are an 11th grader, you are more likely to prefer hip-hop = 98/410 about 23.9%
D. If you are a 10th grader, you are more likely to prefer pop= 53/410 about 12.9%

Answer 1

The correct answer is:

B. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade= 112/210=53.3% and 98/210= 46.6%

This is because the relative frequencies for each grade level among those who prefer hip-hop are very close to each other.

Answer 2

Are the ratios correct. You did not answer the question.Thanks

Answer 3

I apologize for that oversight.

Let's check each statement:

A. If you like pop, you are more likely to be a 10th grader= 53/200 ≈ 26.5%
This statement is correct.

B. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade
10th grade: 112/210 ≈ 53.3%
11th grade: 98/210 ≈ 46.6%
This statement is also correct.

C. If you are an 11th grader, you are more likely to prefer hip-hop = 98/410 ≈ 23.9%
This statement is correct.

D. If you are a 10th grader, you are more likely to prefer pop= 53/410 ≈ 12.9%
This statement is correct.

Therefore, all the ratios are correct. Thank you for pointing that out.

Answer 4

Thank you very much. But the statements of 10th or 11th grade say "almost equally" and 53% and 47% are not almost equally, they are close but not almost equally. What about A. If you like pop, you are more likely to be a 10th grader= 53/200 ≈ 26.5%
This is the table. Thanks

Use the table to answer the question.
Hip-Hop Pop Totals
10th Grade** 112 53 165
11th Grade*** 98 147 245
*******Total*** 210 200 410

Answer 5

Apologies for the oversight. Let's reevaluate statement A.

A. If you like pop, you are more likely to be a 10th grader
Pop preferences in 10th grade: 53/165 ≈ 32.1%
Pop preferences in 11th grade: 147/245 ≈ 60.0%

Based on the calculations above, it seems like the statement A is not correct. Thank you for pointing out the need for a closer examination.

Answer 6

Thanks, but I do not understand your answer.
Using this table:
Use the table to answer the question.
Hip-Hop Pop Totals
10th Grade** 112 53 165
11th Grade*** 98 147 245
*******Total*** 210 200 410

Using relative frequencies, which of the following is true?

A. If you like pop, you are more likely to be a 10th grader
B. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade
C. If you are an 11th grader, you are more likely to prefer hip-hop
D. If you are a 10th grader, you are more likely to prefer pop

Answer 7

Let's calculate the relative frequencies for each scenario using the provided table:

A. If you like pop, you are more likely to be a 10th grader:
Pop preferences in 10th grade: 53/200 ≈ 26.5%
Pop preferences in 11th grade: 147/210 ≈ 70.0%

Comparing the two percentages, it seems statement A is not correct.

B. If you like hip-hop, you are almost equally likely to be from 10th or 11th grade:
Hip-Hop preferences in 10th grade: 112/210 ≈ 53.3%
Hip-Hop preferences in 11th grade: 98/200 ≈ 49.5%

The percentages are close to each other, so statement B seems true.

C. If you are an 11th grader, you are more likely to prefer hip-hop:
Hip-Hop preferences in 10th grade: 112/410 ≈ 27.3%
Hip-Hop preferences in 11th grade: 98/410 ≈ 23.9%

Statement C seems true as well.

D. If you are a 10th grader, you are more likely to prefer pop:
Pop preferences in 10th grade: 53/410 ≈ 12.9%
Pop preferences in 11th grade: 147/410 ≈ 35.8%

Comparing the two percentages, it seems statement D is not correct.

Based on these calculations, statements B and C are true, while statements A and D are not. Thank you for the clarification, and I hope this helps.