Charlie and Sophie had so much fun on the climb that they want to climb again next weekend. Their next route is 1200 feet long. They visit rock climbing websites and learn that other climbers recommend 8 pitches for this route. Write an equation that Charlie and Sophie can use to find the average length of each pitch. On average, how long must each pitch be for Charlie and Sophie to complete this climb in 8 pitches?

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step-by-step explanation:

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step-by-step explanation:

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its a i did it myself

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.