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Home » #### Area: 96 cm²; Perimeter: 40 cm - Abu Waleed Tea

#### Area: 96 cm²; Perimeter: 40 cm - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: The diagonal of the rectangle is $ \sqrt{6^2 + 8^2} = 10 $ cm. The circumference is $ \pi \times \text{diameter} = 10\pi $ cm. The circumference of the throughfall is $\boxed{10\pi}$ cm.**Question:** A bag contains 7 red marbles and 8 blue marbles. If four marbles are drawn at random, what is the probability that exactly two are red?

📌 To solve this problem, we use combinations to determine the number of ways to draw marbles with the specified conditions.

📌 Total ways to draw 4 marbles from 15:

📌 The total number of ways to draw 4 marbles from a bag containing 7 red and 8 blue marbles is given by:

📌 \binom{15}{4} = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1} = 1365

📌 Ways to draw exactly 2 red marbles:

📌 We choose 2 red marbles from the 7 available:

📌 \binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21

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