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A 10-year-old competes in gymnastics. For several competitions, she received the following "All-Around" scores: 38.8, 37.6, 37.6, and 37.3. Her coach recommends that gymnasts whose "All-Around" scores average at least 36.3 move up to the next level. What "All-Around" score in the next competition would result in the child being eligible to move up?

Answer :

The gymnast needs to score at least 30.2 in her next competition to have an average All-Around score of 36.3, which would make her eligible to move up to the next level.

The student's question concerns calculating the average of her "All-Around" scores and determining what score she would need in the next competition to achieve an average that allows her to move up to the next level in gymnastics. To find out the necessary score, we need to add all her current scores, divide by the number of competitions to find her current average, and then determine what score would raise her average to at least 36.3, assuming the next competition is included in the calculation.

Let's calculate her current average

  1. Add the scores: 38.8 + 37.6 + 37.6 + 37.3 = 151.3
  2. Divide by the number of competitions: 151.3 \/ 4 = 37.825

Now that we have her current average, we want it to remain at least 36.3 after the next competition. Let's use x to represent the score she would need in the next competition. We can set up the following equation:

(151.3 + x) ÷ 5 ≥ 36.3

Multiplying both sides by 5 gives us:

151.3 + x ≥ 181.5

Now, subtract 151.3 from both sides to find x:

x ≥ 181.5 - 151.3

x ≥ 30.2

Therefore, the gymnast would need a score of at least 30.2 in her next competition to have an average of 36.3 and be eligible to move up to the next level.

Thanks for taking the time to read A 10 year old competes in gymnastics For several competitions she received the following All Around scores 38 8 37 6 37 6 and 37. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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