
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 weather forecast predicts that from Sunday to Saturday in a particular week, there is a $30\%$ chance each day will be sunny and dry, a $20\%$ chance of 5 inches of rain, a $25\%$ chance of 7 inches of rain, and a $25\%$ chance of cloudiness with no rain. What is the expected value of the total number of inches of rain that will fall over these seven days? Provide the answer rounded to the nearest tenth.

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