To solve the question, we need to determine two things:
1. The percentage of lawyers who are female.
2. The number of female lawyers.
Here's the step-by-step solution:
### Step 1: Determine the Percentage of Female Lawyers
Given that 71.5% of the lawyers are male, we need to find the percentage of female lawyers.
Since the total percentage must add up to 100%, the percentage of female lawyers can be calculated as:
[tex]\[ \text{Percentage of female lawyers} = 100\% - \text{Percentage of male lawyers} \][/tex]
Substituting the given percentage:
[tex]\[ \text{Percentage of female lawyers} = 100\% - 71.5\% \][/tex]
[tex]\[ \text{Percentage of female lawyers} = 28.5\% \][/tex]
So, the percentage of the lawyers who are female is 28.5%.
### Step 2: Calculate the Number of Female Lawyers
Now, we need to find out how many of the 1,094,774 active lawyers are female.
To do this, we use the percentage of female lawyers we just calculated. Using this percentage:
[tex]\[ \text{Number of female lawyers} = \text{Total number of lawyers} \times \left( \frac{\text{Percentage of female lawyers}}{100} \right) \][/tex]
Substituting the values we have:
[tex]\[ \text{Number of female lawyers} = 1,094,774 \times \left( \frac{28.5}{100} \right) \][/tex]
[tex]\[ \text{Number of female lawyers} = 1,094,774 \times 0.285 \][/tex]
Calculating this gives approximately:
[tex]\[ \text{Number of female lawyers} \approx 312,010.59 \][/tex]
So, the approximate number of female lawyers is 312,010.59.
In summary:
- The percentage of lawyers who are female is 28.5%.
- The number of female lawyers is approximately 312,010.59.
