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Kipish [7]
3 years ago
15

Use the function f(x)=x^2-8 find the inverse of f(x)

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:


Step-by-step explanation:

let : y = x² - 8

calculate : x

x² = y + 8

x exist : y + 8 ≥ 0

x = √(y + 8)    or x =  - √(y + 8)

conclusion :

if : x ≥ 0    the inverse of f(x) is : g(x) = √(x + 8)

if : x ≤ 0    the inverse of f(x) is : h(x) =  - √(x + 8)


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Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

Los parámetros son:

  • n es el número de ensayos.
  • p es la probabilidad de éxito en un ensayo
  • x es el número de éxitos

En este problema, hay que:

  • 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
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La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

P(X \geq 1) = 1 - P(X = 0)

En que:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

Por eso:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

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