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Home » \[ \frac120455 = \frac2491 \] - Appfinity Technologies

\[ \frac120455 = \frac2491 \] - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Question: The daily rainfall (in inches) in a NYC monitoring station over five consecutive days is modeled by the values $ \frac{1}{4}, \frac{3}{8}, \frac{5}{16}, x, \frac{1}{2} $. If the average rainfall is $ \frac{5}{8} $ inches, solve for $ x $.

📌 Solution: The average of five values is $ \frac{5}{8} $, so the total rainfall is:

📌 \times \frac{5}{8} = \frac{25}{8}

📌 Sum of known values:

📌 \frac{1}{4} + \frac{3}{8} + \frac{5}{16} + \frac{1}{2} = \frac{4}{16} + \frac{6}{16} + \frac{5}{16} + \frac{8}{16} = \frac{23}{16}

📌 Now solve for $x$:

📌 x = \frac{25}{8} - \frac{23}{16} = \frac{50}{16} - \frac{23}{16} = \frac{27}{16}

📌 $\boxed{\frac{27}{16}}$Question: Compute the value of $ \left( \sum_{k=1}^{6} k^2 \right) \times \left( \prod_{j=1}^{3} (2j + 1) \right) $.

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