#### 950**Question:
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- Walking: actual = 320 = 1.2 × planned → planned = 320 / 1.2 ≈ 266.67. But planned not needed.
- Actual burn = walking + yoga + gardening = 320 + 450 + 180 = <<320+450+180=950>>950 calories.
- Since all recorded values are accurate, total = 320 + 450 + 180 = 950.
- In a quantum computing model, if the probability amplitude for a qubit state is given by \( a + bi \) such that \( |a + bi| = 1 \), determine the values of \( a \) and \( b \) when the state represents a state with a phase difference of \( \frac{\pi}{3} \) from the real axis. Find the sum of all possible values of \( a \).
- Given that the probability amplitude \( a + bi \) lies on the unit circle, we have:
- \[ |a + bi| = \sqrt{a^2 + b^2} = 1 \Rightarrow a^2 + b^2 = 1. \]
