
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 penny, nickel, dime, quarter, and fifty-cent piece are simultaneously flipped. The fifty-cent piece is biased and has a $\dfrac{3}{4}$ probability of coming up heads. What is the expected value of the amount of these coins which come up heads? Express your answer in cents, rounded to the nearest tenth of a cent.

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