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Home » Average speed = \( \frac3504 = 87.5 \) km/h. - Coaching Toolbox

Average speed = \( \frac3504 = 87.5 \) km/h. - Coaching Toolbox

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 The vertex of a parabola \( ax^2 + bx + c \) is at \( x = -\frac{b}{2a} \).

📌 Here, \( a = -2 \), \( b = 24 \), so:

📌 x = -\frac{24}{2(-2)} = \frac{24}{4} = 6

📌 Substitute \( x = 6 \) into the equation:

📌 Y = -2(6)^2 + 24(6) + 100 = -2(36) + 144 + 100 = -72 + 144 + 100 = 172

📌 Thus, the maximum possible yield is \(\boxed{172}\).

📌 Question: A UX researcher analyzes click-through rates and finds that the success rate from 50 test users is 64%. After 10 additional users, the overall success rate becomes 66%. How many of the new 10 users clicked through?

📌 Initially, 64% of 50 users succeeded:

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