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3 years ago

Y varies directly with x, and y = 12 when x = 5. What is the value of y when x = 8?

2 answers:

6 0

Y varies directly as x means y=kx or k=y/x where k is the constant of variation
find k

y=12 and x=5
k=12/5
y=kx
when x=8
y=(12/5)(8)
y=96/5

rewona [7]3 years ago

4 0

Y=x/k
12=5/k
k=5/12

k= x/y
5/12=8/y
y = 12×8/5
y = 96/5
y= 19.05

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2 years ago

solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si

prisoha [69]

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.

Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

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En que:

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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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