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 $\$ 20,000 ?$
Round your answer to the nearest percent.
$\square$ $\%$
\begin{tabular}{lccc}
Income & University A & University B & TOTAL \\
\hline Under $\$ 20,000$ & 35 & 40 & 75 \\
$\$ 20,000$ to $\$ 39,999$ & 90 & 63 & 153 \\
$\$ 40,000$ and over & 35 & 37 & 72 \\
TOTAL & 160 & 140 & 300
\end{tabular}
```

Sign in to unlock the answer

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: $\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100$

step 5

Substitute the given values into the formula: $\text{Percentage} = \left( \frac{75}{300} \right) \times 100$

step 6

Simplify the fraction and calculate the percentage: $\text{Percentage} = \left( \frac{1}{4} \right) \times 100 = 25\%$

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.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question