
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
Approximately 1000 students participated in a mock exam with a normal distribution, $X~N(100, a^2)$, where $a>0$, and a maximum score of 150 points. Given that 1/10 of the students scored below 90 points, determine the approximate number of students who scored between 100 and 110 points (inclusive).

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