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A survey was taken of children between the ages of 10 and 17 about how many siblings they have and whether they have a pet. The results of the survey are shown in the table.

\begin{tabular}{|c|c|c|c|c|c|}
\hline
& 0 Siblings & 1 Sibling & 2 Siblings & 3 or More Siblings & Total \\
\hline
Has a Pet & 34 & 57 & 28 & 6 & 125 \\
\hline
Does Not Have a Pet & 18 & 40 & 15 & 2 & 75 \\
\hline
Total & 52 & 97 & 43 & 8 & 200 \\
\hline
\end{tabular}

Which statement must be true?

A. Out of the 125 children who have a pet, 18 of them have 2 siblings.

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

C. Out of the 52 children who do not have any siblings, 34 of them have a pet.

D. Out of the 97 children who have 1 sibling, 57 of them have a pet.

Sagot :

GinnyAnsweridn
Let's analyze the given statements one by one against the data provided in the survey table.

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

To check this, let's look at the "Does Not Have a Pet" row:
- Total children who do not have a pet: 75
- Number of these children who have 2 siblings: 15

So, this statement is false.

Second Statement:
"Out of the 97 children who have 1 sibling, 40 of them do not have any siblings."

To check this, let's look at the "1 Sibling" column:
- Total children who have 1 sibling: 97
- Number of these children who do not have any siblings: This part of the statement is logically flawed because the children having 1 sibling cannot be counted as children with no siblings. Therefore, this statement doesn't make sense. Hence, this statement is false.

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

To check this, let's look at the "0 Siblings" column:
- Total children who do not have any siblings: 52
- Number of these children who have a pet: 34

So, this statement is incorrect.

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

To check this, let's look at the "1 Sibling" column:
- Total children who have 1 sibling: 97
- Number of these children who do not have a pet: 40

So, this statement is correct.

Thus, the fourth statement is the only correct one among the statements provided.
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