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Nimfa-mama [501]
3 years ago
7

Una bolsa contiene 4 canicas azules, 4 canicas rojas y 4 canicas verdes. Sacas aleatoriamente una canica y luego otra (sin reemp

lazo). ¿Cuál es la probabilidad de que ambas canicas sean azules?
Mathematics
2 answers:
sveticcg [70]3 years ago
8 0

Answer:

la probabilidad es 1/11

Step-by-step explanation:

Hay 4+4+4 = 12 canicas en total en la bolsa.

Pues la posibilidad de sacar una canica azul en el principio es 4/12 o 1/3.

Y luego, no reemplaces la canica, y hay 11 canicas en total.

Por eso la posibilidad de sacar otra canica azul después es 3/11.

Son eventos independientes, y tenemos que multiplicarlos para tener la respuesta.

1/3 * 3/11 = 1/11

andriy [413]3 years ago
5 0

Answer:

4/12

Step-by-step explanation:

ya que ay 12 en total. y 4 canincas azules

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Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i
bixtya [17]

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length of the curve = 8

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Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

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Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1)  with respective to 'x'

\frac{dx}{dt} = 1+cost

differentiating equation (2)  with respective to 'y'

\frac{dy}{dt} = -sint

The length of curve is

\int\limits^\pi_\pi  {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt

\int\limits^\pi_\pi  \,   {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

\int\limits^\pi_\pi  \,   {\sqrt{(2+2cost } } \, dt

\sqrt{2} \int\limits^\pi_\pi  \,   {\sqrt{(1+1cost } } \, dt

again using formula, 1+cost = 2cos^2(t/2)

\sqrt{2} \int\limits^\pi _\pi  {\sqrt{2cos^2\frac{t}{2} } } \, dt

Taking common \sqrt{2} we get ,

\sqrt{2}\sqrt{2}  \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt

2(\int\limits^\pi _\pi  {cos\frac{t}{2} } \, dt

2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }

length of curve = 4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))

length of the curve is = 4(1+1) = 8

<u>conclusion</u>:-

The arrow of the direction or the length of curve = 8

7 0
3 years ago
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