IDNLearn.com: Your trusted source for finding accurate and reliable answers. Our Q&A platform offers reliable and thorough answers to help you make informed decisions quickly and easily.
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]
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.