Answer :
### Analysis for the Year 2013
Given the data:
- Total Population in 2013: 316,205
- Labor Force in 2013: 155,389
- Employed in 2013: 154,995
First of all, let's find the number of unemployed people in 2013 by subtracting the number of employed people from the labor force.
[tex]\[ \text{Unemployed 2013} = \text{Labor Force 2013} - \text{Employed 2013} = 155,389 - 154,995 = 394 \][/tex]
Now, let’s answer each part of the question step by step:
#### a. What percentage of the labor force was employed?
To find this percentage, we use the employed number divided by the labor force number, and then multiply by 100.
[tex]\[ \text{Percentage of labor force employed} = \left( \frac{\text{Employed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{154,995}{155,389} \right) \times 100 \][/tex]
This fraction equates to approximately 99.7% when rounded to one decimal place.
[tex]\[ \boxed{99.7\%} \][/tex]
#### b. What percentage of the labor force was unemployed?
To find this percentage, we use the unemployed number divided by the labor force number, and then multiply by 100.
[tex]\[ \text{Percentage of labor force unemployed} = \left( \frac{\text{Unemployed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{394}{155,389} \right) \times 100 \][/tex]
This fraction equates to approximately 0.3% when rounded to one decimal place.
[tex]\[ \boxed{0.3\%} \][/tex]
#### c. What percentage of the total population was employed?
To find this percentage, we use the employed number divided by the total population number, and then multiply by 100.
[tex]\[ \text{Percentage of total population employed} = \left( \frac{\text{Employed 2013}}{\text{Population 2013}} \right) \times 100 = \left( \frac{154,995}{316,205} \right) \times 100 \][/tex]
This fraction equates to approximately 49.0% when rounded to one decimal place.
[tex]\[ \boxed{49.0\%} \][/tex]
Therefore, the percentages for the year 2013 are:
a. 99.7% of the labor force was employed.
b. 0.3% of the labor force was unemployed.
c. 49.0% of the total population was employed.
Given the data:
- Total Population in 2013: 316,205
- Labor Force in 2013: 155,389
- Employed in 2013: 154,995
First of all, let's find the number of unemployed people in 2013 by subtracting the number of employed people from the labor force.
[tex]\[ \text{Unemployed 2013} = \text{Labor Force 2013} - \text{Employed 2013} = 155,389 - 154,995 = 394 \][/tex]
Now, let’s answer each part of the question step by step:
#### a. What percentage of the labor force was employed?
To find this percentage, we use the employed number divided by the labor force number, and then multiply by 100.
[tex]\[ \text{Percentage of labor force employed} = \left( \frac{\text{Employed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{154,995}{155,389} \right) \times 100 \][/tex]
This fraction equates to approximately 99.7% when rounded to one decimal place.
[tex]\[ \boxed{99.7\%} \][/tex]
#### b. What percentage of the labor force was unemployed?
To find this percentage, we use the unemployed number divided by the labor force number, and then multiply by 100.
[tex]\[ \text{Percentage of labor force unemployed} = \left( \frac{\text{Unemployed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{394}{155,389} \right) \times 100 \][/tex]
This fraction equates to approximately 0.3% when rounded to one decimal place.
[tex]\[ \boxed{0.3\%} \][/tex]
#### c. What percentage of the total population was employed?
To find this percentage, we use the employed number divided by the total population number, and then multiply by 100.
[tex]\[ \text{Percentage of total population employed} = \left( \frac{\text{Employed 2013}}{\text{Population 2013}} \right) \times 100 = \left( \frac{154,995}{316,205} \right) \times 100 \][/tex]
This fraction equates to approximately 49.0% when rounded to one decimal place.
[tex]\[ \boxed{49.0\%} \][/tex]
Therefore, the percentages for the year 2013 are:
a. 99.7% of the labor force was employed.
b. 0.3% of the labor force was unemployed.
c. 49.0% of the total population was employed.