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Home » Convert Pints to Quarts in Seconds? This Ultra-Fast Conversion Will Shock You! - go-checkin.com

Convert Pints to Quarts in Seconds? This Ultra-Fast Conversion Will Shock You! - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A train travels 180 miles at a speed of 60 miles per hour, then continues for another 120 miles at 40 miles per hour. What is the average speed for the entire trip?

📌 The time for the first part is \( \frac{180}{60} = 3 \) hours.

📌 The time for the second part is \( \frac{120}{40} = 3 \) hours.

📌 The total distance is \( 180 + 120 = 300 \) miles.

📌 The total time is \( 3 + 3 = 6 \) hours.

📌 The average speed is \( \frac{300}{6} = 50 \) miles per hour.

📌 #### 50Question: A software compliance consultant must verify 12 data modules, 3 of which are non-compliant. If 4 modules are randomly selected for audit, what is the probability that exactly 2 are non-compliant?

📌 Solution: The total number of ways to choose 4 modules from 12 is $\binom{12}{4}$. The number of favorable outcomes (2 non-compliant and 2 compliant) is $\binom{3}{2} \cdot \binom{9}{2}$. Thus, the probability is $\frac{\binom{3}{2} \cdot \binom{9}{2}}{\binom{12}{4}} = \frac{3 \cdot 36}{495} = \frac{108}{495} = \frac{12}{55}$. \boxed{\dfrac{12}{55}}

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