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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.

\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}

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

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

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

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

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

Sagot :

GinnyAnsweridn
Let's work through this step by step to determine the correct answer.

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 = 5 (Red) + 6 (Blue) + 4 (Green) + 1 (Purple) + 4 (Yellow)
- Total draws = 20

3. Find the proportion of times purple was drawn:
- Number of times purple was drawn = 1
- Proportion = (Number of times purple was drawn / Total number of draws) × 100%
- Proportion = (1 / 20) × 100%

4. Calculate the proportion in percentage form:
- Proportion = 5%

Therefore, based on Marcie's experiment, she would expect [tex]\(5 \%\)[/tex] of the marbles in the bag to be purple.

The correct answer is:
A. [tex]\(5 \%\)[/tex]
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