Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A company conducted a survey to see whether its new toothpaste was more popular with children or adults. Of the adults surveyed, about [tex]11 \%[/tex] use the toothpaste. Compare this with the percentage of children who use the toothpaste.

\begin{tabular}{|c|c|c|c|}
\hline & Use toothpaste & \begin{tabular}{l}
Do not use \\
toothpaste
\end{tabular} & Total \\
\hline Children & 0.06 & 0.19 & 0.25 \\
\hline Adults & 0.08 & 0.67 & 0.75 \\
\hline Total & 0.14 & 0.86 & 1.0 \\
\hline
\end{tabular}

Select the true statement.
A. A greater percentage of children [tex](24 \%)[/tex] use the toothpaste.
B. A greater percentage of children [tex](40 \%)[/tex] use the toothpaste.
C. A smaller percentage of children [tex](8 \%)[/tex] use the toothpaste.
D. A smaller percentage of children [tex](6 \%)[/tex] use the toothpaste.


Sagot :

To determine the percentage of children who use the toothpaste, we need to focus on the "Children" row of the table.

The table tells us:
- The number of children who use the toothpaste is [tex]\(0.06\)[/tex].
- The total number of children surveyed is [tex]\(0.25\)[/tex].

To find the percentage of children who use the toothpaste, we use the formula for percentage:

[tex]\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \][/tex]

Here, the part is the number of children who use the toothpaste ([tex]\(0.06\)[/tex]) and the whole is the total number of children surveyed ([tex]\(0.25\)[/tex]):

[tex]\[ \text{Percentage of children who use toothpaste} = \left( \frac{0.06}{0.25} \right) \times 100 \][/tex]

When we calculate this expression, we get:

[tex]\[ \left( \frac{0.06}{0.25} \right) \times 100 = 24 \][/tex]

So, [tex]\(24\%\)[/tex] of the children use the toothpaste.

Now let's compare this finding with the statements provided:

A. A greater percentage of children [tex]\( (24\%) \)[/tex] use the toothpaste.
B. A greater percentage of children [tex]\( (40\%) \)[/tex] use the toothpaste.
C. A smaller percentage of children [tex]\( (8\%) \)[/tex] use the toothpaste.
D. A smaller percentage of children [tex]\( (6\%) \)[/tex] use the toothpaste.

The correct statement is A: A greater percentage of children [tex]\( (24\%) \)[/tex] use the toothpaste.