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Home » = z^3 - \frac4073z - \frac1583 - Appfinity Technologies

= z^3 - \frac4073z - \frac1583 - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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}

📌 Compute the values:

📌 \binom{7}{3} = 35,\quad \binom{9}{2} = 36,\quad \binom{16}{5} = 4368

📌 \frac{35 \cdot 36}{4368} = \frac{1260}{4368}

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A = 1000(1 + 0.05)^3 = 1000(1.05)^3
A = 1000 \times 1.157625 = 1157.625
### Question 13
The average of five numbers is 24. If four of the numbers are 18, 22,...
Let the fifth number be \( x \). Then:
\frac{18 + 22 + 26 + 30 + x}{5} = 24
+ x = 120
x = 24
### Question 14
A square and a circle have the same perimeter. If the side of the squa...

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