QuestionFill in the missing values in the table using totals. If unknown + 67 = 99, then unknown = 32. Total students who play sports and an instrument = 35.

Studdy Solution

STEP 1

Assumptions1. The total number of students is99. . The total number of students who play sports is57.
3. The total number of students who do not play sports is42.
4. The total number of students who play an instrument is67.
5. The total number of students who do not play an instrument is32.
6. The number of students who both play sports and play an instrument is35.
7. The number of students who play sports but do not play an instrument is22.

STEP 2

First, we need to find the number of students who do not play sports but play an instrument. We can do this by subtracting the number of students who play sports and play an instrument from the total number of students who play an instrument.
$\text{Students who do not play sports but play an instrument} = \text{Total who play an instrument} - \text{Students who play sports and play an instrument}$

STEP 3

Now, plug in the given values to calculate the number of students who do not play sports but play an instrument.
$\text{Students who do not play sports but play an instrument} =67 -35$

STEP 4

Calculate the number of students who do not play sports but play an instrument.
$\text{Students who do not play sports but play an instrument} =67 -35 =32$

STEP 5

Next, we need to find the number of students who play sports but do not play an instrument. We can do this by subtracting the number of students who play sports and play an instrument from the total number of students who play sports.
$\text{Students who play sports but do not play an instrument} = \text{Total who play sports} - \text{Students who play sports and play an instrument}$

STEP 6

Now, plug in the given values to calculate the number of students who play sports but do not play an instrument.
$\text{Students who play sports but do not play an instrument} =57 -35$

STEP 7

Calculate the number of students who play sports but do not play an instrument.
$\text{Students who play sports but do not play an instrument} =57 -35 =22$

STEP 8

Finally, we can fill in the contingency table with the calculated values\begin{tabular}{|l|l|l|l|} \hline Students & play an instrument & do not play an instrument & Total \\ \hline play sports &35 &22 &57 \\ \hline do not play sports &32 &10 &42 \\ \hline Total &67 &32 &99 \\ \hline\end{tabular}

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