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Question
Math
Posted 3 months ago

Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey.

Approximately what percent of graduates in the sample had an income under $20,000?\$ 20,000 ?
Round your answer to the nearest percent.
\square %\%
\begin{tabular}{lccc} 
Income & University A & University B & TOTAL \\
\hline Under $20,000\$ 20,000 & 35 & 40 & 75 \\
$20,000\$ 20,000 to $39,999\$ 39,999 & 90 & 63 & 153 \\
$40,000\$ 40,000 and over & 35 & 37 & 72 \\
TOTAL & 160 & 140 & 300
\end{tabular}
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
To find the percentage of graduates who had an income under $20,000, we need to divide the number of graduates in that income category by the total number of graduates and then multiply by 100
step 2
The number of graduates with an income under $20,000 is given as 75
step 3
The total number of graduates surveyed is given as 300
step 4
Using the formula for percentage: Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
step 5
Substitute the given values into the formula: Percentage=(75300)×100\text{Percentage} = \left( \frac{75}{300} \right) \times 100
step 6
Simplify the fraction and calculate the percentage: Percentage=(14)×100=25%\text{Percentage} = \left( \frac{1}{4} \right) \times 100 = 25\%
Answer
25%
Key Concept
Percentage Calculation
Explanation
To calculate the percentage of a part relative to a whole, divide the part by the whole and multiply by 100.

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