Question

Math

Posted 3 months ago

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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 $\$ 20,000 ?$
Round your answer to the nearest percent.
$\square$ $\%$
\begin{tabular}{|c|c|c|c|}
\hline Income & University A & University B & TOTAL \\
\hline Under $\$ 20,000$ & 35 & 40 & 75 \\
\hline$\$ 20,000$ to $\$ 39,999$ & 90 & 63 & 153 \\
\hline$\$ 40,000$ 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, 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: $\text{Percentage} = \left(\frac{\text{Number of graduates under } \$20,000}{\text{Total number of graduates}}\right) \times 100\%$

step 5

Substituting the values into the formula gives us: $\text{Percentage} = \left(\frac{75}{300}\right) \times 100\% = 25\%$

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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