
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 high school senior class conducted a simulated college entrance exam. The math scores of this test follow a normal distribution $X\sim N(90$,$\delta ^{2})$, and $P\left(X \lt 60\right)=0.1$. It is defined that a score higher than $120$ is considered excellent. If $1200$ senior students participated in the test, the number of students who scored excellent in math is ____.

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