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how to find slope on a graph - Professionaloutdoormedia

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 \boxed{120960}

📌 Pregunta: Se lanza una moneda justa 6 veces. ¿Cuál es la probabilidad de que exactamente 4 de los lanzamientos resulten en cara?

📌 Solución: Este es un problema clásico de probabilidad binomial. Sean 6 lanzamientos de moneda un ensayo de Bernoulli con probabilidad de éxito (cara) $ p = \frac{1}{2} $. Queremos la probabilidad de obtener exactamente $ k = 4 $ éxitos.

📌 La fórmula de probabilidad binomial es:

📌 Aquí, $ n = 6 $, $ k = 4 $, $ p = \frac{1}{2} $. Sustituyendo:

📌 P(X = 4) = \binom{6}{4} \left(\frac{1}{2}\right)^4 \left(\frac{1}{2}\right)^2 = \binom{6}{4} \left(\frac{1}{2}\right)^6

📌 Calculamos el coeficiente binomial:

📌 \binom{6}{4} = \frac{6!}{4!2!} = \frac{720}{24 \cdot 2} = 15

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Solution: We are given $ a - b = 6 $ and $ a^2 + b^2 = 130 $.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
We already have $ a - b = 6 $ and $ a^2 + b^2 = 130 $. We need $ ab $.
6^2 = 130 - 2ab \Rightarrow 36 = 130 - 2ab \Rightarrow 2ab = 94 \Right...
Now compute $ a^2 + ab + b^2 = (a^2 + b^2) + ab = 130 + 47 = 177 $.
a^3 - b^3 = 6 \cdot 177 = 1062
Thus, the answer is $ \boxed{1062} $.
Question: A digital storytelling analyst creates a health app where in...
Solution: Given $ m + n = 10 $, $ m^2 + n^2 = 58 $.
First, compute $ (m + n)^3 = 10^3 = 1000 $.

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