19. A movie company invited a total of 500 people to complete their review survey after watching a new release movie. Of the 380 people who finished that survey so far, 55 percent are female and 45 percent are male. Assuming all 500 people will eventually complete the survey, how many of the rest of the respondents must be male in order for half of the total respondents

To find out how many of the remaining respondents must be male in order for half of the total respondents to be male, we need to calculate the number of male respondents required. Given: - Total people invited to complete the survey = 500 - People who have finished the survey so far = 380 - Percentage of female respondents = 55% - Percentage of male respondents = 45% First, let's calculate the number of male respondents who have finished the survey so far: \[ \text{Number of male respondents} = \frac{45}{100} \times 380 \] Next, we need to find out how many male respondents are required in total for half of the total respondents to be male. Since half of the total respondents should be male, the number of male respondents required is half of the total respondents: \[ \text{Number of male respondents required} = \frac{1}{2} \times 500 \] Now, we can calculate the number of male respondents required in total and then find out how many of the remaining respondents must be male. Calculate the value by following steps: - step0: Calculate: \(\frac{45}{100}\times 380\) - step1: Reduce the fraction: \(\frac{9}{20}\times 380\) - step2: Reduce the numbers: \(9\times 19\) - step3: Multiply the numbers: \(171\) Calculate or simplify the expression \( 1/2 * 500 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{2}\times 500\) - step1: Reduce the numbers: \(250\) The number of male respondents who have finished the survey so far is 171. To find out how many of the remaining respondents must be male in order for half of the total respondents to be male, we need to calculate the number of male respondents required in total. The number of male respondents required in total is 250. Therefore, the number of male respondents required in the remaining respondents is 250 - 171 = 79.