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Hitman42 [59]
3 years ago
9

Si consideras como base uno de los rectángulos de dimensiones de 5cm y 3cm ¿cuanto mide la altura de ese prisma?

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Respuesta:

h = V / 15

Explicación paso a paso:

El volumen de un prisma rectangular se calcula usando la relación:

Largo ancho alto

Donde, largo y ancho son la dimensión de la base

Por eso,

Volumen = Base * altura

Volumen = (5 cm * 3 cm) * altura

De la pregunta, no se da el volumen, por lo tanto, tomamos el volumen como V en otro para calcular la altura, h

V = 15h

Divide ambos lados entre 15

V / 15 = 15h / 15

V / 15 = h

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The graph of a line passes through the points (0,-2) and (6,0). what is the equation of the line?
nirvana33 [79]

Answer:

y = 1/3x - 2

Step-by-step explanation:

We are asked to find the equation of a line with two points

Step1: find the slope

m = (y_2 - y_1)/(x_2 - x_1)

( 0 , -2) (6 , 0)

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Insert the values

m = ( 0 - (-2)/ (6 - 0)

m = ( 0 + 2)/(6 - 0)

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Step 2 : substitute m into the equation of line

y = mx + c

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c = intercept

y = 1/3x + c

Step 3: sub any of the two points

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x = 6

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y = 1/3x + c

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Answer:

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b)  0.7275

c)  0.8948

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This is a binomial distribution probability problem. The formula is:

P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

a)

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725

So, the probability that no one has done a one-time fling is 0.2725

b)

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

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c)

No more than 2 people means P (x≤2).

This is essentially

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and

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Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

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