
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
"The helmet is the helmet of life." The quality inspection department randomly inspects the quality of helmets produced by a factory, and the inspection results are as follows:

| Number of Helmets Inspected $n$ | $100$ | $200$ | $300$ | $500$ | $800$ | $1000$ | $3000$ |
|---------------------------------|-------|-------|-------|-------|-------|--------|--------|
| Number of Qualified Helmets $m$ | $95$  | $194$ | $289$ | $479$ | $769$ | $960$  | $2880$ |
| Frequency of Qualified Helmets $\frac{m}{n}$ | $0.950$ | $0.945$ | $0.962$ | $0.958$ | $0.961$ | $0.960$ | $0.960$ |

Estimate the number of qualified helmets if the factory produces $10000$ helmets.

Present the answer in LaTex format: \boxed{Your answer}
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