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Home » \[ \binom41 = 4 \] -

\[ \binom41 = 4 \] -

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 The probability that at least one occurs is 0.58.

📌 A tank contains 100 liters of a 15% salt solution. How many liters of pure water must be added to dilute it to a 10% salt solution?

📌 Let \( x \) be the liters of water added. The amount of salt remains constant:

📌 \cdot 100 = 0.10 \cdot (100 + x) \implies 15 = 10 + 0.10x \implies 5 = 0.10x \implies x = 50

📌 liters of pure water must be added.

📌 A car accelerates uniformly from rest to 30 m/s in 10 seconds. Determine the distance traveled during this time.

📌 Using \( s = ut + \frac{1}{2}at^2 \), with \( u = 0 \), \( v = at = 30 \), so \( a = 3 \, \text{m/s}^2 \), and \( t = 10 \):

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