Answered

Get detailed and accurate responses to your questions with IDNLearn.com. Our platform is designed to provide trustworthy and thorough 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.

\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]
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.