Final answer:
In bowling, after 6 consecutive strikes, the score sheet will show 180 points by the 6th frame. Without additional data, a prediction for the final exam score of a student based on a score of 66 on the third exam isn't possible. To sample 12 quiz scores, count out and record every tenth quiz score, repeating and wrapping around as necessary.
Step-by-step explanation:
The subject in question is Mathematics, pertaining to scoring in bowling. As for the scenario with 6 strikes in the first 6 frames of a bowling game, the score sheet in bowling adds additional bonuses for strikes. A strike earns 10 points plus the sum of the next two shots. In this case, for each of the first 6 frames, the score would be 30 points each (10 for the strike plus 10 and 10 for the next two strikes as the rolls following are also strikes). So, after 6 strikes, the score sheet will show the cumulative total which would be 30 points for each frame, equaling 180 points by the end of the 6th frame.
Regarding the question about predicting the final exam score for a student who scored 66 on the third exam, without additional context or data regarding exam score tendencies or grading scales, we cannot predict the final exam score accurately. Exam scores can vary greatly depending on many factors such as the difficulty of the exams, the student's study habits, and potential improvement or decline in performance over time.
For the process of recording quiz scores and sampling 12 quiz scores, simply start with the first quiz score, and sequentially count out ten scores, recording every tenth score. Repeat this process, wrapping around to the beginning if needed, until you have collected 12 instances of every tenth quiz score.