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b. Mo has 9 attempts in a game. Predict how many goals he scores. Let \( x= \) number of Moe scores. Proportion \( \rightarrow-=\frac{x}{9} \)

Ask by Ramirez Wyatt. in the United States
Feb 26,2025

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Answer

To predict the number of goals Mo scores, multiply his success rate by 9. For example, if his success rate is 50%, he is expected to score about 4.5 goals.

Solution

It looks like you want to set up a proportion to predict how many goals Mo will score from his 9 attempts. In general, if you know his shooting (or conversion) rate, you can use that rate to predict the number of goals. For example, if you let   x = number of goals scored   Total attempts = 9 and if you already know his conversion rate (say, “r”), then the expected number of goals is given by   x/9 = r  ⟹  x = 9 · r Without knowing his conversion rate (r), we can only express the predicted goals in terms of r. For instance: • If Mo’s conversion rate is 50% (r = 0.5), then x = 9 · 0.5 = 4.5, so you might expect about 4 or 5 goals. • If his conversion rate is 33% (r = 0.33), then x = 9 · 0.33 ≈ 2.97, so roughly 3 goals. • If r = 0.67, then x = 9 · 0.67 ≈ 6 goals. So the general answer is: To predict the number of goals he scores, you need to multiply his success rate by 9. If you have any additional details (for example, his past performance or conversion rate), you can substitute that value for r to get a numerical prediction for x.

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In statistical terms, if we look at Mo's scoring attempts in the context of a hypothetical scoring average, we can create a basic prediction model. For example, if Mo historically scores 3 goals on average out of 9 attempts, we can express that as a probability: \( \frac{3}{9} = \frac{1}{3} \). This means you might expect him to score roughly 3 goals in his 9 attempts, assuming the same level of performance. However, in real-world application, sports performance can be unpredictable! Factors such as player fatigue, opponent strength, and even weather can influence scoring. To get a better prediction, keeping track of Mo's past performance against similar opponents or analyzing his shooting percentage can provide a more tailored forecast, rather than relying solely on averages.

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