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Question
Statistics
Posted 2 months ago

The table below shows employment data for the country of Gerbilville.
\begin{tabular}{ll} 
Status & #\# of people \\
\hline Adult population & 1,000 \\
Employed & 600 \\
Not working but seeking employment & 150 \\
Not working and not seeking employment & 250
\end{tabular}

Which of the following calculations correctly determines the unemployment rate in Gerbilville?

Choose 1 answer:
(A) 150750×100=20%\frac{150}{750} \times 100=20 \%
(B) 6001,000×100=60%\frac{600}{1,000} \times 100=60 \%
(c) 1501,000×100=15%\frac{150}{1,000} \times 100=15 \%
(D) 2501,000×100=25%\frac{250}{1,000} \times 100=25 \%
() 150600×100=25%\frac{150}{600} \times 100=25 \%
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Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
Identify the relevant data for calculating the unemployment rate: the number of people not working but seeking employment and the labor force (the sum of employed and those not working but seeking employment)
step 2
Calculate the labor force: Labor Force=Employed+Not working but seeking employment=600+150=750Labor\ Force = Employed + Not\ working\ but\ seeking\ employment = 600 + 150 = 750
step 3
Calculate the unemployment rate using the formula: Unemployment Rate=Not working but seeking employmentLabor Force×100Unemployment\ Rate = \frac{Not\ working\ but\ seeking\ employment}{Labor\ Force} \times 100
step 4
Substitute the values into the formula: Unemployment Rate=150750×100=20%Unemployment\ Rate = \frac{150}{750} \times 100 = 20\%
Answer
A
Key Concept
Unemployment Rate Calculation
Explanation
The unemployment rate is calculated by dividing the number of unemployed individuals actively seeking employment by the total labor force and then multiplying by 100 to get a percentage.

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