https://file.aiquickdraw.com/mathbot/file/1728335210597q5hfkadm.pdf

It looks like you’ve uploaded a math exam that covers a variety of topics, including probability, statistics, and combinatorics. Here’s an overview of some of the questions from the exam:

1. **Probability**: The exam asks for the probability of rolling a number less than 7 on a 12-sided die, and it also asks for probabilities involving voter demographics and exercise habits.

2. **Z-score**: A question asks to convert a test score to a z-score, which involves using the mean and standard deviation of test scores.

3. **Stemplot and Proportions**: There's a task to create a stemplot from attendance data, and additional questions ask about the proportion of games with at least or at most a certain number of attendees.

4. **Combinatorics**: The exam has questions asking how many ways the letters of "COMMITTEE" can be arranged, as well as the number of ways to select tax returns for an audit and form 4-digit numbers.

5. **Statistics**: The exam includes questions on finding the mean, median, mode, and standard deviation from a set of test scores, as well as constructing a box plot.

Would you like detailed explanations or solutions for specific questions? Here are 5 follow-up questions to deepen your understanding:

1. How do you calculate the z-score for Michelle's test score in question 2?
2. What is the process for creating a stemplot for the basketball attendance data in question 3?
3. How many ways can the letters of "COMMITTEE" be arranged, considering repeated letters?
4. What statistical methods are involved in constructing and interpreting a box plot in question 7?
5. How can you determine whether the distribution in a box plot is skewed or not?

**Tip:** When working with probability questions involving dice, always remember that each side has an equal chance of occurring, which makes calculations straightforward.

What is the probability of rolling a number less than 7 on a 12-sided die?

Learn how to calculate the probability of rolling a number less than 7 on a 12-sided die. This problem introduces basic probability concepts suitable for students in Grades 7-9, using the formula: Probability = Favorable outcomes / Total outcomes.

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