
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 machine manufactures balls. A ball is considered acceptable if the deviation $X$ of the ball's diameter from the design size in absolute terms is less than 0.7 mm. Assuming that the random variable $X$ is normally distributed with a standard deviation $\sigma = 0.4$ mm, find how many balls, on average, will be acceptable out of one hundred manufactured.

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