Question

I need help with this. Once you explain it can you place the answer on top of the answer tab?

Answer 1

From the experiment conducted by Marcie with a bag of marbles,

Total number of times a purple marble is drawn, i.e purple is 1

Total number of different colors of marbles drawn, i.e whole is 20 as shown below

`=5+6+4+1+4=20`

The formula to find the proportion of purple marble drawn by Marcie is

`\frac{\text{Purple}}{\text{Whole}}=\frac{\text{\% of purple}}{100}`

Where

`\begin{gathered} \text{Purple}=1\text{ and} \\ \text{Whole}=20 \end{gathered}`

Substitute the values into the formula of proportion above

`\begin{gathered} (1)/(20)=\frac{\text{\% of purple}}{100} \\ \text{Crossmultiply} \\ 1*100=20*\text{\% of purple } \\ \text{Divide both sides by 20} \\ \text{\% of purple}=(100)/(20)=5\text{\%} \\ \text{\% of purple}=5\text{\%} \end{gathered}`

Hence,

Based on Marcie's experiment, the proportion of purple marble in the bag she would expect is 5%