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Step-by-step explanation:

option B , x = 6 is the correct answer of this question .

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b. x = 6

Step-by-step explanation:

Solve for x :

10(x + 2) - 15 = 65

To solve this we need to isolate x :

Distribute the ten to both numbers within the parenthesis :

(10(x) + 10(2)) - 15 = 65

10x + 20 - 15 = 65

Order of operations :

10x + 5 = 65

Subtract 5 from both sides :

10x = 60

Divide 10 by both sides :

x = 6

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.