Question
b. Mo has 9 attempts in a game. Predict how many goals he scores. Let \( x= \) number of \( \quad \) Moe scores. Proportion \( \rightarrow-=\frac{x}{9} \)
Ask by Simmons Ruiz. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Mo is predicted to score 3 goals in 9 attempts if his success rate is 1 out of every 3 attempts.
Solution
It looks like you’re setting up a proportion in which x represents the number of goals Mo scores from 9 attempts. In general, if you know Mo’s conversion rate (that is, the proportion of attempts that become goals), you can write
x/9 = conversion rate.
For example, if from his past record Mo scores a goal about one out of every three attempts, then his conversion rate is 1/3. Plugging that into the proportion gives
x/9 = 1/3.
Multiplying both sides by 9 to solve for x we get
x = 9 × (1/3) = 3.
So, if Mo’s success rate is 1/3, you would predict that he scores 3 goals in 9 attempts.
If you have a different conversion rate (say, from previous performance or statistics), you would replace 1/3 with that value. Without additional context, the answer is expressed in general as
x = (conversion rate) × 9.
For the example conversion rate above, the prediction is 3 goals.
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Simplify this solution Beyond the Answer
To predict how many goals Mo might score in 9 attempts, we can consider factors like his shooting accuracy, past performance, and the difficulty of the game. If Mo generally scores 30% of the time, you could expect him to net about 2-3 goals. Just multiply his scoring percentage by the number of attempts: \( 9 \times 0.30 = 2.7 \). Common mistakes in predictions often include unrealistic expectations and ignoring factors like fatigue, the quality of the opposing team, or even simple luck. Remember, probabilities are just that—probabilities! Factors in play could lead to Mo scoring more or even fewer goals than predicted. Always stay flexible and consider these nuances!
