Which polynomial function has a leading coefficient of 1, roots –3 and 8 with multiplicity 1, and root 4 with multiplicity 2? f(x) = 2(x + 3)(x + 4)(x – 3)
f(x) = 2(x – 8)(x – 4)(x + 3)
f(x) = (x + 8)(x + 4)(x + 4)(x – 3)
f(x) = (x – 8)(x – 4)(x – 4)(x + 3)

other answer is correct. i had used the radius of the radius somehow. a website:

v=1788.75

step-by-step explanation:

i belive that is the answer

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.