Please help me with these!
1) A super ball is dropped from a height of 100 feet. Each time it bounces, it rebounds half the distance it falls. In feet, how high will the ball travel on its seventh bounce problems!

2) The fifth term of an arithmetic sequence is 9 and the 32nd term is -84. What is the 23rd term?

3) How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

step-by-step explanation:

their are no angles. sorry cant .

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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.