Question
Mr. Floyd is checking whether the students in his study period are on track to pass their math and English classes. He makes a two-way table to help determine how many students need targeted support in either subject or both subjects.
passingenglish, failing english
passing math 8, 3
failing math 6, 5
Which of the following statements is true?
(1 point)
Responses
More than half the students in Mr. Floyd’s class are on track to pass both math and English.
More than half the students in Mr. Floyd’s class are on track to pass both math and English.
20 students are passing English.
20 students are passing English.
Half of the students in Mr. Floyd’s study class are failing their math class.
Half of the students in Mr. Floyd’s study class are failing their math class.
There are twice as many students failing math as there are failing English.
passingenglish, failing english
passing math 8, 3
failing math 6, 5
Which of the following statements is true?
(1 point)
Responses
More than half the students in Mr. Floyd’s class are on track to pass both math and English.
More than half the students in Mr. Floyd’s class are on track to pass both math and English.
20 students are passing English.
20 students are passing English.
Half of the students in Mr. Floyd’s study class are failing their math class.
Half of the students in Mr. Floyd’s study class are failing their math class.
There are twice as many students failing math as there are failing English.
Answers
GPT-4o mini
To analyze the situation and determine the truth of the given statements, let’s first summarize the data presented in the two-way table:
```
Passing English | Failing English
---------------------------------------------------
Passing Math | 8 | 3
---------------------------------------------------
Failing Math | 6 | 5
```
Now, let's calculate various totals:
1. **Total students passing English:**
- Passing Math and Passing English: 8
- Failing Math and Passing English: 6
- Total Passing English = 8 + 6 = 14 students
2. **Total students failing English:**
- Passing Math and Failing English: 3
- Failing Math and Failing English: 5
- Total Failing English = 3 + 5 = 8 students
3. **Total students in the class:**
- Total = (Passing Math and Passing English) + (Passing Math and Failing English) + (Failing Math and Passing English) + (Failing Math and Failing English)
- Total = 8 + 3 + 6 + 5 = 22 students
4. **Total students passing math:**
- Total Passing Math = (Passing Math and Passing English) + (Failing Math and Passing English)
- Total Passing Math = 8 + 6 = 14 students
5. **Total students failing math:**
- Total Failing Math = (Passing Math and Failing English) + (Failing Math and Failing English)
- Total Failing Math = 3 + 5 = 8 students
Now, let’s evaluate the given statements:
1. **More than half the students in Mr. Floyd’s class are on track to pass both math and English.**
- Students passing both = 8
- Total students = 22
- Half of 22 = 11, and since 8 < 11, this statement is **false**.
2. **20 students are passing English.**
- Total students passing English = 14 (as calculated).
- This statement is **false**.
3. **Half of the students in Mr. Floyd’s study class are failing their math class.**
- Total failing math = 8
- Half of total students (22) = 11, and since 8 < 11, this statement is **false**.
4. **There are twice as many students failing math as there are failing English.**
- Total failing math = 8
- Total failing English = 8
- This means there are not twice as many failing math, so this statement is **false**.
Since all of the provided statements are false based on the calculations, it appears that none of the statements are true.
```
Passing English | Failing English
---------------------------------------------------
Passing Math | 8 | 3
---------------------------------------------------
Failing Math | 6 | 5
```
Now, let's calculate various totals:
1. **Total students passing English:**
- Passing Math and Passing English: 8
- Failing Math and Passing English: 6
- Total Passing English = 8 + 6 = 14 students
2. **Total students failing English:**
- Passing Math and Failing English: 3
- Failing Math and Failing English: 5
- Total Failing English = 3 + 5 = 8 students
3. **Total students in the class:**
- Total = (Passing Math and Passing English) + (Passing Math and Failing English) + (Failing Math and Passing English) + (Failing Math and Failing English)
- Total = 8 + 3 + 6 + 5 = 22 students
4. **Total students passing math:**
- Total Passing Math = (Passing Math and Passing English) + (Failing Math and Passing English)
- Total Passing Math = 8 + 6 = 14 students
5. **Total students failing math:**
- Total Failing Math = (Passing Math and Failing English) + (Failing Math and Failing English)
- Total Failing Math = 3 + 5 = 8 students
Now, let’s evaluate the given statements:
1. **More than half the students in Mr. Floyd’s class are on track to pass both math and English.**
- Students passing both = 8
- Total students = 22
- Half of 22 = 11, and since 8 < 11, this statement is **false**.
2. **20 students are passing English.**
- Total students passing English = 14 (as calculated).
- This statement is **false**.
3. **Half of the students in Mr. Floyd’s study class are failing their math class.**
- Total failing math = 8
- Half of total students (22) = 11, and since 8 < 11, this statement is **false**.
4. **There are twice as many students failing math as there are failing English.**
- Total failing math = 8
- Total failing English = 8
- This means there are not twice as many failing math, so this statement is **false**.
Since all of the provided statements are false based on the calculations, it appears that none of the statements are true.