
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
In our school's November exam for senior year students majoring in science, about 1000 students took the math test. The scores $\xi$ follow a normal distribution $N(100, a^2)$ ($a>0$, full score 150). It was found that approximately 60% of the students scored between 80 and 120. How many students scored at least 120?

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