QUESTION IMAGE
Question
nora recorded the grade - level and instrument of everyone in the middle school school of rock below.
seventh grade students
| instrument | # of students |
|---|---|
| bass | 12 |
| drums | 14 |
| keyboard | 5 |
eighth grade students
| instrument | # of students |
|---|---|
| bass | 8 |
| drums | 4 |
| keyboard | 11 |
based on these results, express the probability that a seventh grader chosen at random will play the bass as a percent to the nearest whole number.
answer attempt 1 out of 2
Step1: Calculate total seventh - grade students
To find the total number of seventh - grade students, we sum up the number of students for each instrument. The number of students playing guitar is 13, bass is 12, drums is 14, and keyboard is 5. So the total number of seventh - grade students $N=13 + 12+14 + 5$.
$13+12 = 25$, $25+14=39$, $39 + 5=44$.
Step2: Calculate the probability of choosing a bass - playing seventh - grader
The number of seventh - grade students playing bass is 12. The probability $P$ that a randomly chosen seventh - grader plays bass is given by the formula $P=\frac{\text{Number of bass - playing seventh - graders}}{\text{Total number of seventh - graders}}=\frac{12}{44}$.
Step3: Convert the probability to a percentage
To convert the probability to a percentage, we multiply the probability by 100. So $P\times100=\frac{12}{44}\times100=\frac{1200}{44}\approx27.27$. Rounding to the nearest whole number, we get 27.
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