A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 200 nails and each large box has 500 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 6000 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

the answer is 14ft

step-by-step explanation:

answer: a.   one is a factor of every whole number since every number is divisible by itself.

1; 35 is the ratio

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.