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3 years ago

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:

1 answer:

3 0

The surface area is 870 cm².

Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:

60/4 = 15

To find the area, we square the side length:
15² = 225

There are two bases, so the area of these is 2(225) = 450

There are 4 lateral faces, so the lateral area is 4(105) = 420

Together, this gives us a total surface area of 870.

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a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

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-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

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1% is equivalent to a z value of 0.50399.

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$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

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