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Home » Sei \( w = z + \frac83 \), dann: - go-checkin.com

Sei \( w = z + \frac83 \), dann: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \times 34 \times 33 \times 32 = 125Point6120

📌 \times 1256120 = 32665920

📌 Thus, the total number of valid verification codes is $\boxed{32665920}$.

📌 Question: An industrial hygienist is evaluating air quality data from 8 monitoring stations arranged in a ring around a factory. If 3 stations are randomly selected for calibration, what is the probability that no two selected stations are adjacent on the ring?

📌 Solution: Total number of ways to choose 3 out of 8 stations:

📌 \binom{8}{3} = 56

📌 Now, count the number of ways to select 3 non-adjacent stations on a ring of 8. This is a circular arrangement problem where no two selected stations are next to each other.

📌 We use the known combinatorial result: the number of ways to choose $k$ non-adjacent positions from $n$ arranged in a circle is:

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Substituting the given perimeter and the expression for \(l\), we have...
= 2(2w + 3) + 2w
Expanding and simplifying:
= 4w + 6 + 2w = 6w + 6
Subtract 6 from both sides:
= 6w
w = \frac{28}{6} = \frac{14}{3} \approx 4.67 \text{ meters}
Now, compute the length:
l = 2 \times \frac{14}{3} + 3 = \frac{28}{3} + \frac{9}{3} = \frac{37}...
Thus, the dimensions are width \(\frac{14}{3}\) m and length \(\frac{3...

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