Question
41. On Monday Billy made 16 out of 20 free throw attempts. On Tuesd Billy made 20 out of 25 free throw attempts. How many can he expect to make out of 60 on Wednesday?
Ask by Wagner Hodgson. in the United States
Feb 03,2025
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Answer
Billy can expect to make 48 out of 60 free throws on Wednesday.
Solution
To determine how many free throws Billy can expect to make out of 60 attempts on Wednesday, we'll analyze his performance on Monday and Tuesday and then project that performance for Wednesday.
### Step 1: Calculate Billy's Free Throw Percentage on Monday and Tuesday
1. **Monday:**
- **Made Free Throws:** 16
- **Total Attempts:** 20
- **Free Throw Percentage:**
\[
\frac{16}{20} = 0.80 \text{ or } 80\%
\]
2. **Tuesday:**
- **Made Free Throws:** 20
- **Total Attempts:** 25
- **Free Throw Percentage:**
\[
\frac{20}{25} = 0.80 \text{ or } 80\%
\]
### Step 2: Determine Billy's Overall Free Throw Percentage
Since Billy maintained the same free throw percentage on both days, his overall free throw percentage is also **80%**.
### Step 3: Projecting for Wednesday
- **Total Attempts on Wednesday:** 60
- **Expected Made Free Throws:**
\[
0.80 \times 60 = 48
\]
### **Conclusion**
Billy can **expect to make 48 out of 60 free throw attempts** on Wednesday based on his performance on Monday and Tuesday.
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
Billy's free throw shooting percentages are key to predicting his performance. On Monday, he made 16 out of 20 attempts, which gives him a shooting percentage of 80%. On Tuesday, he shot 20 out of 25, resulting in a 80% success rate again. If he continues this trend, we can expect him to make approximately 48 out of 60 attempts on Wednesday, which is also 80%. Now, do remember that external factors like fatigue or pressure could slightly influence his shooting, but if Billy maintains his cool and consistency, he's on track to sink those shots!