2.3.PS-12 Question Help
The height of a building is proportional to the number of floors. The
figure shows the height of a building with 9 floors. Complete parts a
and b.
h=126 ft
lul
BOG
a. Write the ratio of height of the building to the number of floors. Then, find the unit rate, and
explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is . The unit rate is 1. This means that
each floor of the building is ft high.
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its b

step-by-step explanation:

14.29%

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.