El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos encuentre como mucho un huevo roto

Answers

Answer 1

Answer:  

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

             

Step-by-step explanation:  

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1      

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

[tex] P = P(0) + P(1) [/tex]

[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!                                                                                                                                                                                            


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An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

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[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

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The graph of the figure is attached.

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Answers

Answer:

all whole numbers

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Step-by-step explanation:

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The domain is the set of all whole numbersThe range is the set of all whole numbers

Let the number of tickets be x, and the revenue be y.

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[tex]\mathbf{y = 125x}[/tex]

The number of tickets cannot be less than 0.

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[tex]\mathbf{Domain = [0,\infty)}[/tex]

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[tex]\mathbf{Range = [0,\infty)}[/tex]

The above means that, the range is also the set of all whole numbers (in multiples of 125)

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