Diameter of the bowl is 10 inches. how many cups of water this bowl can hold? One cup is equivalent to proximatly 12.5 cubic inches

Number of cup used for fill bowl = 20 cups (Approx.)

Step-by-step explanation:

Given:

Diameter of hemisphere bowl = 10 inches

Volume of each cup = 12.5 cubic inches

Find:

Number of cup used for fill bowl

Computation:

Radius of hemisphere bowl = Diameter of hemisphere bowl / 2

Radius of hemisphere bowl = 10 / 2

Radius of hemisphere bowl = 5 inches

Volume of hemisphere bowl = (2/3)(π)(r³)

Volume of hemisphere bowl = (2/3)(22/7)(5³)

Volume of hemisphere bowl = (2)(125)

Volume of hemisphere bowl = 250

Number of cup used for fill bowl = Volume of hemisphere bowl / Volume of each cup

Number of cup used for fill bowl = 250 / 12.5

Number of cup used for fill bowl = 20 cups (Approx.)

0.50 , 0.75

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.