Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Our experts are ready to provide prompt and detailed answers to any questions you may have.

Select the correct answer.

Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.

[tex]\[
\begin{tabular}{|c|c|}
\hline Marble Color & \begin{tabular}{c}
Number of \\
Times Drawn
\end{tabular} \\
\hline red & 5 \\
\hline blue & 6 \\
\hline green & 4 \\
\hline purple & 1 \\
\hline yellow & 4 \\
\hline
\end{tabular}
\][/tex]

Based on Marcie's experiment, what proportion of the marbles in the bag would she expect to be purple?

A. [tex]$10 \%$[/tex]

B. [tex]$1 \%$[/tex]

C. [tex]$5 \%$[/tex]

D. [tex]$20 \%$[/tex]

Sagot :

GinnyAnsweridn
To determine the proportion of purple marbles in Marcie's experiment, follow these steps:

1. Identify the number of times each color was drawn.
- Red: 5 times
- Blue: 6 times
- Green: 4 times
- Purple: 1 time
- Yellow: 4 times

2. Calculate the total number of draws.
- Total draws = [tex]\(5 + 6 + 4 + 1 + 4\)[/tex]

3. Sum up the number of draws.
- Total draws = [tex]\(20\)[/tex]

4. Determine the number of purple draws.
- Purple draws = [tex]\(1\)[/tex]

5. Calculate the proportion of purple marbles.
- Proportion of purple marbles = [tex]\(\left(\frac{\text{Number of purple draws}}{\text{Total number of draws}}\right) \times 100\)[/tex]

6. Substitute the values into the proportion formula.
- Proportion of purple marbles = [tex]\(\left(\frac{1}{20}\right) \times 100\)[/tex]

7. Simplify the expression.
- Proportion of purple marbles = [tex]\(5 \%\)[/tex]

Therefore, the correct answer is:
C. [tex]\(5 \%\)[/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.