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question justin recorded the grade - level and instrument of everyone i…

Question

question
justin recorded the grade - level and instrument of everyone in the middle school of rock below.
seventh grade students

instrument# of students
bass5
drums14
keyboard13

eighth grade students

instrument# of students
bass8
drums7
keyboard8

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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Explanation:

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 \(0.74\)

Answer:

\(0.74\)