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Home » newton's first law of motion defines - RTA

newton's first law of motion defines - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 \times 24 = 120

📌 Thus, the number of valid arrangements is:

📌 - 120 = \boxed{600}

📌 Question: A box contains 7 red sensors and 9 blue sensors. If a technician randomly selects 5 sensors without replacement, what is the probability that exactly 3 are red and 2 are blue?

📌 Solution: The total number of ways to choose 5 sensors from 16 is:

📌 \binom{16}{5}

📌 The number of favorable outcomes (3 red and 2 blue) is:

📌 \binom{7}{3} \cdot \binom{9}{2}

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\(a_2 = 3(2) + 1 = 7\).
\(a_3 = 3(7) + 1 = 22\).
\(a_4 = 3(22) + 1 = 67\).
The volume of a cylinder is \(288\pi\) cm\(^3\) and its height is 12 c...
So, \(288\pi = \pi r^2 \times 12\).
Divide by \(\pi\): \(288 = 12r^2\).
Thus, \(r^2 = 24\) and \(r = \sqrt{24} = 2\sqrt{6}\).
#### \(2\sqrt{6}\)
Solve for \(x\): \(\log_2(x^2 - 5x) = 3\).
Rewrite: \(x^2 - 5x = 2^3 = 8\).

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