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3 years ago

Si 15 obreros construyen un muro en 45 minutos, ¿en cuánto tiempo lo construirán 3 obreros con similar habilidad?

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer:

3 obreros tardaran 225 minutos en completar el trabajo.

Step-by-step explanation:

Sea R la velocidad con la que un obrero puede construir 1 muro.

Sabemos que 15 obreros construyen un muro en 45 minutos, entonces:

(15*R)*45min = 1 muro

Con esta ecuación podemos encontrar el valor R

R = (1 muro)/(15*45min)

Ahora queremos saber cuando tiempo tardan 3 obreros en construir un muro, entonces tenemos que resolver:

(3*R)*T = 1 muro

Reemplazando el valor de R obtenemos:

(3*(1 muro)/(15*45min))*T = 1 muro

T = (1 muro)*(15*45 min)/(3*1 muro)

T = 5*45min = 225 min

3 obreros tardaran 225 minutos en completar el trabajo.

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Using the binomial distribution, it is found that there is a 0.7447 = 74.47% probability that fewer than 7 of them show up.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

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p is the probability of a success on a single trial.

In this problem, the values of the parameters are given as follows:

p = 0.7, n = 8.

The probability that fewer than 7 of them show up is given by:

[tec]P(X < 7) = 1 - P(X \geq 7)[/tex]

In which:

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[tec]P(X < 7) = 1 - P(X \geq 7) = 1 - 0.2553 = 0.7447[/tex]

0.7447 = 74.47% probability that fewer than 7 of them show up.

More can be learned about the binomial distribution at brainly.com/question/24863377

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