Finish the lyrics if you know them! “And all I am is a man I want the world in my hands
I hate the beach
But I stand in California with my toes in the sand
Use the sleeves on my sweater
Lets have an adventure
Head in the clouds but my gravity centered
Touch my neck and I'll touch yours
You in those little high waisted shorts-”

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

one fourth of 9% = 2.25%

gavin is correct in saying : the equivalent quarterly interest rate would be

2.25%.

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.