K=5/9(f-32) + 273.15. solve for f. if you have an answer leave an explanion, but you don't have to.

K = (F - 32) + 273.15

To cancel out the 5/9, you can either multiply everything by the denominator and divide it down, or multiply everything by the reciprocal of the fraction (. Multiplying by the reciprocal is definitely easier if you can use a calculator:

K = (F - 32) + 491.67

Subtract 491.67 from both sides:

K - 491.67 = F - 32

Finish off by adding 32 to both sides:

K - 459.67 = F

Therefore, F = K - 459.67.

Hope this helps! :)

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.