5. What is the probability of not spinning either a 7 or a 3. Answer in decimal form and round to the nearest hundredth. 0.36 1:10° 2:20° 3:30 8: 80° O. 0.28 0.72 4:40° 0.64 CLEAR ALL 7 70° 5:50° 6: 60

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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**Probability and Statistics: Calculating Probability from a Spinner Diagram**

---

### Problem Statement

**Question:**  
What is the probability of **not** spinning either a 7 or a 3. Answer in decimal form and round to the nearest hundredth.

### Diagram Explanation

The provided image shows a circular spinner divided into different sections, each labeled with numbers and corresponding degrees:

- **1: 10°**
- **2: 20°**
- **3: 30°**
- **4: 40°**
- **5: 50°**
- **6: 60°**
- **7: 70°**
- **8: 80°**

### Possible Answer Choices

- 0.36
- 0.28
- 0.72
- 0.64

### Calculation Steps

1. **Total Degrees in Circle:**
   A circle has a total of 360 degrees.

2. **Degrees Corresponding to 7 and 3:**
   - **7: 70°**
   - **3: 30°**
   - **Total for 7 and 3 = 70° + 30° = 100°**

3. **Degrees for Not 7 and Not 3:**
   - **Remaining Degrees = 360° - 100° = 260°**

4. **Probability Calculation:**
   - Probability = (Degrees for Not 7 and Not 3) / (Total Degrees)
   - Probability = 260° / 360°
   - Simplify to decimal form: 
     \[
     \frac{260}{360} = \frac{26}{36} \approx 0.7222
     \]
   - Round to the nearest hundredth: 0.72

### Correct Answer

The correct probability for not spinning either a 7 or a 3 is **0.72**.

**Select Answer:** `0.72`
Transcribed Image Text:**Probability and Statistics: Calculating Probability from a Spinner Diagram** --- ### Problem Statement **Question:** What is the probability of **not** spinning either a 7 or a 3. Answer in decimal form and round to the nearest hundredth. ### Diagram Explanation The provided image shows a circular spinner divided into different sections, each labeled with numbers and corresponding degrees: - **1: 10°** - **2: 20°** - **3: 30°** - **4: 40°** - **5: 50°** - **6: 60°** - **7: 70°** - **8: 80°** ### Possible Answer Choices - 0.36 - 0.28 - 0.72 - 0.64 ### Calculation Steps 1. **Total Degrees in Circle:** A circle has a total of 360 degrees. 2. **Degrees Corresponding to 7 and 3:** - **7: 70°** - **3: 30°** - **Total for 7 and 3 = 70° + 30° = 100°** 3. **Degrees for Not 7 and Not 3:** - **Remaining Degrees = 360° - 100° = 260°** 4. **Probability Calculation:** - Probability = (Degrees for Not 7 and Not 3) / (Total Degrees) - Probability = 260° / 360° - Simplify to decimal form: \[ \frac{260}{360} = \frac{26}{36} \approx 0.7222 \] - Round to the nearest hundredth: 0.72 ### Correct Answer The correct probability for not spinning either a 7 or a 3 is **0.72**. **Select Answer:** `0.72`
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