Geometry
find the surface area of the regular pyramid shown to the nearest whole number.

Step-by-step explanation:

The given solid is a square based pyramid. The formula for determining the volume of a square based pyramid is

Volume of pyramid = 1/3 × A×H

Where

A represents the area of the square.

H represents the height from the base to the apex of the pyramid.

Area of the square base is expressed as length × length

The length of the square base is 5 ft

Area of the square base is 5×5 = 25ft^2

Volume of the is 1/3 × 25× 7 = 58.33

Approximately 58.3 ft^3

828. all there is to it!

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thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.