What does 12−3/4(d+16)=−5 equal solve for d

d=20/3 or 6.6 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

12−

3

4

(d+16)=−5

Step 1: Simplify both sides of the equation.

12−

3

4

(d+16)=−5

12+

−3

4

d+−12=−5(Distribute)

(

−3

4

d)+(12+−12)=−5(Combine Like Terms)

−3

4

d=−5

−3

4

d=−5Step 2: Multiply both sides by 4/(-3).

(

4

−3

)*(

−3

4

d)=(

4

−3

)*(−5)

d=

20

3

d=

20

3

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.