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Home » \[ x = rac-(-4) \pm \sqrt642(2) \] - Ready Digital AB

\[ x = rac-(-4) \pm \sqrt642(2) \] - Ready Digital AB

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 A rectangle has a perimeter of 60 cm. If the length is 3 times the width, what is the area of the rectangle?

📌 Perimeter = 2(l + w) = 2(3w + w) = 2(4w) = 8w = 60.

📌 So w = 60 / 8 = 7.5 cm.

📌 Length = 3 * 7.5 = 22.5 cm.

📌 Area = 22.5 * 7.5 = 168.75 cm².

📌 #### 168.75**Question:** A seismologist is analyzing data from 7 different seismic stations. Each station can independently detect an earthquake with a probability of \( \frac{1}{2} \). What is the probability that exactly 4 out of the 7 stations detect an earthquake?

📌 This is a binomial probability problem where we have \( n = 7 \) trials (seismic stations), each with a probability \( p = \frac{1}{2} \) of detecting an earthquake. We want to find the probability of exactly \( k = 4 \) successes (detections).

📌 The formula for the binomial probability is:

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