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vampirchik [111]
3 years ago
9

juanita is watering her lawn using the water stored in her rainwater tank. the water level in the tank drops 1/3 inch every 10 m

inutes she waters. what is the expected change in the tank's waster level after 2.25 hours
Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Fraction of tank drops in every 10 minutes  = 1/3 inches.

We need to find the expected change in the tank's water level after 2.25 hours.

Let us convert 2.25 hours in minutes.

1 hours = 60 minutes.

2.25 hours = 2.25 × 60 = 135 minutes.

<em>We need to divide 135 by 10.</em>

We get 13.5.

Now, we need to <em>multiply 1/3 by 13.5</em>, we get.

13.5/3 = 4.5 inches.

<h3>So, tank would drop 4.5 inches after 2.25 hours.</h3>
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a student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 Meters to be 4968 cu
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solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si
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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.
  • 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:

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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