Each high-school student threw a tennis ball 3 ×; each throw was rounded to the nearest 5 ft. The recorded lengths are shown (longest 120 ft). How many of the 15 throws were less than 90 % of the longest throw?

Rationale

Nine of the 15 throws were less than 90% of the longest throw.

The longest throw is 120 ft, and 90% of this distance is 108 ft. Therefore, we need to count how many of the recorded throws are less than 108 ft to determine the correct answer.

A (Eight) YOUR ANSWER

This choice suggests that only eight throws were below 108 ft. However, upon reviewing the throws, there are more than eight that fall below this threshold, making this option inaccurate.

B (Nine) CORRECT

This is the correct answer as there are exactly nine throws recorded that are less than 108 ft. By carefully reviewing the throws, it is confirmed that only nine of them fall below this value, aligning with the requirements of the question.

C (Ten) YOUR ANSWER

Choosing ten implies that there are ten throws below the 108 ft mark. However, upon counting, it is evident that there are fewer than ten throws that meet this criterion, which makes this option incorrect.

D (Eleven) YOUR ANSWER

This option suggests that eleven throws were below the 108 ft mark. However, there are not enough recorded throws to support this claim, as the count is actually lower, thus rendering this option false.

E (Twelve) YOUR ANSWER

Selecting twelve would indicate that twelve throws were below 108 ft. This overestimates the actual count, as a review of the data shows that there are less than twelve throws below this threshold, making this choice incorrect.

Conclusion

In summary, the analysis reveals that nine out of the fifteen recorded throws were less than 90% of the longest throw, which is 108 ft. This confirms that the correct number of throws below this mark is nine, making option B the accurate choice. Each incorrect option represents an overestimation of the throws that meet the specified criteria.

Each high-school student threw a tennis ball 3 ×; each throw was rounded to the nearest 5 ft. The recorded lengths are shown (longest 120 ft). How many of the 15 throws were less than 90 % of the longest throw?

Nine of the 15 throws were less than 90% of the longest throw.

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