1)the pyramid has a square base that us inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2) if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1

Diameter of the circle is units

Step-by-step explanation:

It is given that the vertices of the square fall on the circle.

So, the diagonal of the square is the diameter of the circle.

Also, the diagonal and the two sides of the square form a right angled triangle.

By Pythogoras theorem,

=

=

units

Hence, the diameter of the circle is units

it is x equals 3   plese mark me really need it

step-by-step explanation:

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.