Soon will mark brainliest write the equation of the line parallel to the given line and passing through the given point. y=1/3x−1 through (6,3)

y = (1/3)x + 1

Step-by-step explanation:

I'll assume that you meant y = (1/3)x - 1.  This line has the slope 1/3.  Write out the stope-intercept form y = mx + b and subst. (1/3) for m, 3 for y, 6 for x and calculate b:

3 = (1/3)(6) + b, or 3 = 2 + b.  Thus, b = 1, and we have the new equation

y = (1/3)x + 1.  This is parallel to y = (1/3)x - 1 and passes thru (6,3):  3 = (1/3)(6) -1 is true.

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.