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Home » The area \(A\) of an ellipse is given by the formula: - 500apps

The area \(A\) of an ellipse is given by the formula: - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Thus, the average area is \(\boxed{49}\) square meters.

📌 Question:** An entrepreneur is optimizing resource allocation for a project. If the project timeline is divided into 12-month phases, and they want to know how many of these phases are greater than 10 but less than 18 months, how many such phases exist?

📌 Solution:** Identify the integer phases between 10 and 18 months, exclusive. The phases fall between 11 and 17 months. List these phases: 11, 12, 13, 14, 15, 16, and 17. Count these numbers:

📌 \text{Phases} = 11, 12, 13, 14, 15, 16, 17

📌 There are 7 such phases. Therefore, the number of phases that satisfy the condition is \(\boxed{7}\).

📌 Question:** A retired scientist is reflecting on their research on prime numbers and wants to know the probability that a randomly selected positive integer less than or equal to 30 is a prime number. What is this probability?

📌 Solution:** First, list the prime numbers less than or equal to 30. These are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Count the number of prime numbers:

📌 \text{Number of primes} = 10

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