
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 a math modeling competition held by a school, the scores of all participating students, denoted as $\xi$, approximately follow a normal distribution $N(70, \sigma^2)$, ($\sigma > 0$), with a total of 600 students participating. If the probability of $\xi$ falling within the interval (70, 90) is 0.48, then the number of students scoring above 90 (including 90) is ______.

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