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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}{|c|c|c|c|}
\hline Income & University A & University B & TOTAL \\
\hline Under $20,000\$ 20,000 & 35 & 40 & 75 \\
\hline$20,000\$ 20,000 to $39,999\$ 39,999 & 90 & 63 & 153 \\
\hline$40,000\$ 40,000 and over & 35 & 37 & 72 \\
\hline TOTAL & 160 & 140 & 300 \\
\hline
\end{tabular}
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 1
To find the percentage of graduates with an income under 20,000,weneedtodividethenumberofgraduatesearningunder20,000, we need to divide the number of graduates earning under 20,000 by the total number of graduates surveyed
step 2
According to the table, the number of graduates earning under $20,000 is 75
step 3
The total number of graduates surveyed is 300
step 4
The percentage is calculated by the formula: Percentage=(Number of graduates under $20,000Total number of graduates)×100%\text{Percentage} = \left(\frac{\text{Number of graduates under } \$20,000}{\text{Total number of graduates}}\right) \times 100\%
step 5
Substituting the values into the formula gives us: Percentage=(75300)×100%=25%\text{Percentage} = \left(\frac{75}{300}\right) \times 100\% = 25\%
Answer
Approximately 25% of graduates in the sample had an income under $20,000.
Key Concept
Percentage Calculation
Explanation
To find the percentage of a subset within a whole, divide the number of items in the subset by the total number of items, and then multiply by 100 to convert to a percentage.

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