Questions: In this country, 39.6 million people are unemployed, and the unemployment rate is 11%. (Round your responses to one decimal place.) The labor force participation rate is %. (Round your answer to the nearest percent.) Labor force 360.0 million Adults in the military 18.0 million Employed adults 320.4 million Nonadult population 18.0 million Institutionalized adults 12.0 million Nonmilitary, noninstitutionalized 120.0 million adults not in labor force

Solution Steps

To find the labor force participation rate, we need to calculate the percentage of the adult population that is part of the labor force. The labor force includes both employed and unemployed individuals. We will use the given data to determine the total adult population and then calculate the participation rate.

1. Calculate the total adult population by adding the labor force, adults in the military, institutionalized adults, and nonmilitary, noninstitutionalized adults not in the labor force.
2. Use the formula for the labor force participation rate: \[ \text{Labor Force Participation Rate} = \left(\frac{\text{Labor Force}}{\text{Total Adult Population}}\right) \times 100 \]
3. Round the result to the nearest percent.

To find the total adult population, we sum the labor force, adults in the military, institutionalized adults, and nonmilitary, noninstitutionalized adults not in the labor force:

\[ \text{Total Adult Population} = 360.0 + 18.0 + 12.0 + 120.0 = 510.0 \text{ million} \]

The labor force participation rate is calculated using the formula:

\[ \text{Labor Force Participation Rate} = \left(\frac{\text{Labor Force}}{\text{Total Adult Population}}\right) \times 100 \]

Substituting the values:

\[ \text{Labor Force Participation Rate} = \left(\frac{360.0}{510.0}\right) \times 100 \approx 70.5882\% \]

We round the labor force participation rate to the nearest percent:

\[ \text{Labor Force Participation Rate (Rounded)} = 71\% \]

Final Answer