Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
x = -5, y = -6, z = -3
Step-by-step explanation:
Given the system of three equations:

Write the augmented matrix for the system of equations

Find the reduced row-echelon form of the augmented matrix for the system of equations:

Thus, the system of three equations is

From the last equation:

Substitute it into the second equation:

Substitute y = -6 and z = -3 into the first equation:

Answer:
(0, -4)
Step-by-step explanation:
Answer:
The answer is 54.
Step-by-step explanation:
54 divided by 2 will give you 27.
54 divided by 9 will give you 6.
Answer:
$26.25
Step-by-step explanation:
1.25 per day
21 days
1.25 × 21 = 26.25