This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
0.13 or 13%
Step 1: Find the missing value 'q'. The total number of trials is 100. The sum of all successful outcomes must equal the total number of trials.
Step 2: Calculate the experimental probability for spinning an 8. The number of successful outcomes for spinning an 8 is 13. The total number of trials is 100. As a percentage: The experimental probability is .
Step 3: Calculate the experimental probability for spinning a 5. The number of successful outcomes for spinning a 5 is 12. The total number of trials is 100. As a percentage: The experimental probability is .
Step 4: Calculate the experimental probability for spinning a 7. The number of successful outcomes for spinning a 7 is 10. The total number of trials is 100. As a percentage: The experimental probability is .
Step 5: Calculate the experimental probability for spinning 1 and 4. This means spinning a 1 OR spinning a 4. The number of successful outcomes for spinning a 1 is 9. The number of successful outcomes for spinning a 4 is 16. The total number of successful outcomes for spinning 1 or 4 is . The total number of trials is 100. As a percentage: The experimental probability is .
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Find the missing value 'q'. The total number of trials is 100.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.