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Home » Approximate: \( 25 \times 3.1416 \approx 78.54 \) - AMAZONAWS

Approximate: \( 25 \times 3.1416 \approx 78.54 \) - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \text{Probability} = \frac{\text{Number of primes}}{\text{Total numbers}} = \frac{10}{30} = \frac{1}{3}

📌 Thus, the probability is \(\boxed{\frac{1}{3}}\).

📌 Question:** A scientist mentoring young researchers discusses measurements, noting a piece of copper wire is 3.4 meters long and another is 7.2 meters long. What is the average length, in meters, of these two pieces of wire?

📌 Solution:** Calculate the average length of the two pieces of wire. The length of the first piece is 3.4 meters, and the length of the second piece is 7.2 meters. The average length is calculated as follows:

📌 \text{Average Length} = \frac{3.4 + 7.2}{2} = \frac{10.6}{2} = 5.3 \text{ meters}

📌 Thus, the average length of the wire pieces is \(\boxed{5.3}\) meters.

📌 Question:** A professor asks students to find the sum of all values of \(b\) for which \(\sqrt{(b-3)^2} = 7\).

📌 Solution:** Start by considering the equation \(\sqrt{(b-3)^2} = 7\). Since the square root function returns the non-negative value, this implies:

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