So I got a question like this: Shannon's goal is to run 40 miles each week. This week, she has already run distances of 5.3 miles, 6.5 miles, and 6.2 miles. If she wants to spread out the remaining miles evenly over the next four days, how many miles per day does she need to run each day? Write an equation and solve.

Distance covered in first 3 days is, 5.3 + 6.5 + 6.2 = 18 miles.

Shannon's goal, T = 40 miles.

Number of remaining days, n = 7 - 3 = 4 days.

Number of miles left, 40 - 18 = 22 miles.

Now,

Number of miles per day she needed :

n = 22/4 = 5.5 miles /day

Therefore, he need to run 5.5 miles per day.

Hence, this is the required solution.

i think it’s a i believe

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.