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Sagot :
Let's break down the problem step-by-step to find the proportion of purple marbles based on Marcie's experiment results.
1. Calculate the total number of draws:
- Red: 5
- Blue: 6
- Green: 4
- Purple: 1
- Yellow: 4
To find the total number of draws, we add these numbers together:
[tex]\[ 5 + 6 + 4 + 1 + 4 = 20 \][/tex]
So, the total number of draws is 20.
2. Determine the number of purple marbles drawn:
- According to the table, purple marbles were drawn 1 time.
3. Calculate the proportion of purple marbles:
- The proportion of purple marbles is the number of purple marbles drawn divided by the total number of draws.
[tex]\[ \text{Proportion of purple marbles} = \frac{1}{20} \][/tex]
4. Convert the proportion to a percentage:
- To convert the proportion to a percentage, we multiply by 100.
[tex]\[ \text{Proportion of purple marbles in percentage} = \left(\frac{1}{20}\right) \times 100 = 5\% \][/tex]
Therefore, based on Marcie's experiment, the proportion of the marbles in the bag that she would expect to be purple is [tex]\(5\%\)[/tex].
Thus, the correct answer is:
[tex]\[ \boxed{A. \ 5 \%} \][/tex]
1. Calculate the total number of draws:
- Red: 5
- Blue: 6
- Green: 4
- Purple: 1
- Yellow: 4
To find the total number of draws, we add these numbers together:
[tex]\[ 5 + 6 + 4 + 1 + 4 = 20 \][/tex]
So, the total number of draws is 20.
2. Determine the number of purple marbles drawn:
- According to the table, purple marbles were drawn 1 time.
3. Calculate the proportion of purple marbles:
- The proportion of purple marbles is the number of purple marbles drawn divided by the total number of draws.
[tex]\[ \text{Proportion of purple marbles} = \frac{1}{20} \][/tex]
4. Convert the proportion to a percentage:
- To convert the proportion to a percentage, we multiply by 100.
[tex]\[ \text{Proportion of purple marbles in percentage} = \left(\frac{1}{20}\right) \times 100 = 5\% \][/tex]
Therefore, based on Marcie's experiment, the proportion of the marbles in the bag that she would expect to be purple is [tex]\(5\%\)[/tex].
Thus, the correct answer is:
[tex]\[ \boxed{A. \ 5 \%} \][/tex]
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