Answered

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A survey was conducted among children aged 10 to 17 about the number of siblings they have and whether they have a pet. The results are shown in the table below:

| | 0 Siblings | 1 Sibling | 2 Siblings | 3 or More Siblings | Total |
|--------------|-------------|-----------|-------------|---------------------|-------|
| Has a Pet | 34 | 57 | 28 | 6 | 125 |
| Does Not Have a Pet | 18 | 40 | 15 | 2 | 75 |
| Total | 52 | 97 | 43 | 8 | 200 |

Which statement must be true?
A. Out of the 125 children who have a pet, 34 of them have 0 siblings.
B. Out of the 97 children who have 1 sibling, 57 of them have a pet.
C. Out of the 52 children who have no siblings, 34 of them have a pet.
D. Out of the 97 children who have 1 sibling, 40 of them do not have a pet.

Sagot :

GinnyAnsweridn
Let's analyze the given statements one by one in the context of the survey data.

### Step-by-Step Analysis:

Statement 1: Out of the 125 children who do not have a pet, 18 of them have 2 siblings.

- According to the table, the number of children who do not have a pet and have 2 siblings is 15, not 18.
- Therefore, this statement is false.

Statement 2: Out of the 97 children who have 1 pet, 40 of them do not have any siblings.

- The table shows that 40 children who do not have a pet have 1 sibling.
- This statement is accurate based on the table data.
- Therefore, this statement is true.

Statement 3: Out of the 125 children who do not have any siblings, 34 of them have a pet.

- The table states that out of children who have pets, 34 of them do not have any siblings.
- Therefore, this statement is true.

Statement 4: Out of the 97 children who have 1 sibling, 40 of them do not have a pet.

- Reviewing the table, 40 children who do not have a pet have 1 sibling.
- This is in accordance with the surveyed data.
- Therefore, this statement is true.

### Conclusion:

Based on the survey data analysis:
- Statement 1 is false.
- Statements 2, 3, and 4 are true.

Thus, the correct determinable statements must be: True for Statements 2, 3, and 4, while Statement 1 is false.
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