Let's examine the information provided from the survey results:
- 12% of the players liked both coupon books and magazines.
We are asked to determine the value of [tex]\( a \)[/tex] in the relative frequency table, and the possible choices given for [tex]\( a \)[/tex] are:
- 27%
- 42%
- 81%
- 88%
From analyzing the Venn diagram and survey results, we need to understand which percentage represents the players who preferred only selling magazine subscriptions (and not coupon books).
Given these choices, identifying the correct percentage [tex]\( a \)[/tex] is crucial.
From the indications given, we can see:
- 42% is the relative frequency for the players who liked only selling magazine subscriptions.
Thus, to the nearest whole percent, the value of [tex]\( a \)[/tex] in the relative frequency table for the survey results is:
[tex]\[ a = 42 \% \][/tex]
