Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

GinnyAnswer
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]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.