The scale for a map to actual distance is 4 cm to 100 mi. The driving distance on the map between Los Angeles and Las Vegas is 10.8 cm. What is the actual distance, in miles, between Los Angeles and Las Vegas?

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

the answer is 48m^2!

step-by-step explanation:

f(x)=2/3x-8, which give g(x) the greatest value.

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.