https://file.aiquickdraw.com/mathbot/file/1727771126837lhlslcl6.pdf

Yes, I can help with the math problems in the document. Let's address them step by step based on the tasks provided.

### Task Breakdown:

1. **Count Matches per Box**:
   A set of numbers has been provided in the document:
   ```
   40, 48, 42, 44, 46, 43, 45, 49,
   45, 41, 47, 45, 51, 46, 44, 45,
   44, 45, 45, 43, 45, 45, 45, 46,
   45, 46, 44, 48, 47, 44, 45, 50
   ```
   This represents the number of matches in each box. These will be used to calculate frequency and average number of matches.

2. **Frequency Table**:
   Create a table showing the frequency of each number of matches per box and their relative frequency. I'll compute this.

3. **Calculate the Average**:
   We'll calculate the mean number of matches by summing the numbers and dividing by the total number of boxes.

4. **Determine if the Average Matches the Box Information**:
   We will compare the calculated average with what is stated on the packaging.

5. **Create a Bar Chart**:
   Based on the frequency of each match count, we will create a bar or stick chart.

6. **Find Mode and Range**:
   We will find the most frequent value (mode) and the range (difference between the highest and lowest values).

7. **Production Calculation**:
   If 5 million boxes are produced each day, we calculate the total annual production.

8. **Percentage Sold in Denmark**:
   We know that 9.5 million boxes are sold annually in Denmark. Calculate what percentage this represents of the total production.

9. **Density of a Matchstick**:
   Using the weight (0.14 g) and dimensions of a matchstick, we can calculate its density.

10. **Weight of Box with 45 Matches**:
    We can calculate the total weight of 45 matches.

Would you like me to start by solving the first task or focus on any specific section? 

Here are five follow-up questions related to this content:
1. How do we calculate the frequency and relative frequency of each match count?
2. How can we verify the accuracy of the average matches with what’s on the box?
3. What are the steps to create a bar chart from frequency data?
4. How can we calculate the annual production of matchboxes?
5. How do we compute the percentage of sales in Denmark?

**Tip**: When calculating averages, ensure that all values in the dataset are accounted for, as missing data may skew results.

This math problem involves calculating frequencies, averages, and percentages based on matchbox counts. Includes density and weight calculations for matchsticks and the production rates. Suitable for Grades 7-9.

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