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question
justin recorded the grade - level and instrument of everyone in the middle school of rock below.
seventh grade students
| instrument | # of students |
|---|---|
| bass | 5 |
| drums | 14 |
| keyboard | 13 |
eighth grade students
| instrument | # of students |
|---|---|
| bass | 8 |
| drums | 7 |
| keyboard | 8 |
based on these results, express the probability that a seventh grader chosen at random will play an instrument other than guitar as a decimal to the nearest hundredth.
answer attempt 1 out of 2
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Step1: Calculate total seventh graders
Sum the number of seventh - grade students for each instrument: \(11 + 5+14 + 13\)
\(11+5 = 16\), \(14 + 13=27\), \(16+27 = 43\)
Step2: Calculate seventh graders not playing guitar
Subtract the number of seventh - grade guitar players from the total seventh - grade students: \(43-11=32\)
Step3: Calculate probability
The probability is the number of seventh - graders not playing guitar divided by the total number of seventh - graders. So, \(\frac{32}{43}\approx0.744186\)
Step4: Round to nearest hundredth
Rounding \(0.744186\) to the nearest hundredth gives \(0.74\)
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\(0.74\)