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Home » Expected value is 0.2. - DNSFLEX

Expected value is 0.2. - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 By Vieta’s formulas:

📌 \( r + s + t = 6 \), \( rs + rt + st = 11 \), \( rst = 6 \)

📌 \( r^2 + s^2 + t^2 = (r + s + t)^2 - 2(rs + rt + st) = 6^2 - 2(11) = 36 - 22 = 14 \)

📌 Problem:** A triangle has sides of lengths 7, 8, and 9. What is its area?

📌 Use Heron’s formula.

📌 Semi-perimeter \( s = \frac{7 + 8 + 9}{2} = 12 \)

📌 Area \( A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{12(12 - 7)(12 - 8)(12 - 9)} = \sqrt{12 \times 5 \times 4 \times 3} = \sqrt{720} = 12\sqrt{5} \)

📌 Problem:** A geometric sequence has first term 3 and third term 27. What is the sum of the first 5 terms?

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But for math problem, we compute mathematically:
Number = 75 × 0.4 × (3/8) = 30 × 3 / 8 = 90 / 8 = 45 / 4 = 11.25
But final answer must be integer — contradiction
Re-express: perhaps the percentage is approximate? But stated as exact
Best: accept fractional result as mathematical expression, but round a...
However, in the context of the problem, and since others are exact, li...
Wait: maybe I miscalculated: 40% of 75 = 30, yes
3/8 of 30: 30 ÷ 8 = 3.75, ×3 = 11.25
But perhaps the problem allows decimal? Uncommon
Alternatively, maybe "3/8" refers to fraction of participants — but st...

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