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Home » For \(z \in [0^\circ, 360^\circ]\), evaluate: - Esdistancia

For \(z \in [0^\circ, 360^\circ]\), evaluate: - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 The total number of positive divisors of 360 is:

📌 Now, list the divisors of 360 that are less than or equal to 30:

📌 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30

📌 Count these divisors: there are 15 such divisors.

📌 Since \( v \) is a positive integer \(\leq 30\), there are 30 possible choices for \( v \). Therefore, the probability that \( v \) is a factor of 360 is:

📌 \frac{15}{30} = \frac{1}{2}

📌 Thus, the probability is \(\boxed{\frac{1}{2}}\).

📌 Question:** The average of \( 3v+2 \), \( 5v-1 \), and \( 4v+7 \) is required. If \( v \) is a positive integer and the average must be less than 25, what is the maximum possible value of \( v \)?

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