
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
A certain senior high school has 2000 students in their final year. In the first mock examination, the mathematics scores $\xi$ follow a normal distribution $N(120, \sigma^2)$. It is known that $P(100 < \xi < 120) = 0.45$. If the school’s research office wishes to use stratified sampling to select 100 exam papers for analysis, determine the number of papers that should be drawn from those scoring above 140.

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