Asksia AI LOGO

Sia

Question
Math
Posted 10 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}
Sign in to unlock the answer
Answer from Sia
Posted 10 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.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Unlock Smarter Learning with AskSia Super!

Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.

30% higher accuracy than GPT-4o
Entire learning journey support
The most student-friendly features
Study Other Question