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Vanyuwa [196]
4 years ago
8

Find the surface area of the regular triangular pyramid.

Mathematics
1 answer:
crimeas [40]4 years ago
7 0
The surface of the pyramid: base + surface area of the sides.

The base area is:

By Heron formula,
s=8+8+8/2
=12

_/12(12-8)(12-8)(12-8)
=_/12(4)(4)(4)
=_/768
=27.7128..
≈27.71sq.units

The side surface areas:
(18×8/2)×3
=144/2×3
=216 sq.units

The total surface area:
216+27.71
=243.71 sq.units

Thus, 243.71 sq.units is the answer.

Hope it helps!
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Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the
Savatey [412]

Answer:

The probability that at lest one job will be missed in 57 second is=1- e^{-1.71} =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}  for x=0,1,2...

λ is the average per unit time

Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

=1- P(X<1)

=1- P(X=0)

=1-\frac{e^{-1.71}(1.71)^0}{0!}

=1- e^{-1.71}

=0.819134

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Maksim231197 [3]

Answer:

Hi there!

Your answer is:

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(-8)/4 =

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