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Sagot :
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]
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]
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