For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
The formula for the variance is,

where,
= sample variance
= the value of the one observation
= the mean value of all observations
n = the number of observations
For given question,
n = 4
First we find the mean of their salaries.
(33 + 31 + 24 + 36 ) / 4 = 31
So, 
Using the formula for variance ,

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
Learn more about the variance here:
brainly.com/question/13673183
#SPJ4
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Replace values of n in expression with 1/4.
9(1/4 + 2) - 5(1/4)
Distributive property
9/4 + 2 - 5/4
Rearrange.
2 + 9/4 - 5/4
Subtract.
2 + 4/4
Simplify.
2 + 1
3.
<h3>The expression is equal to 3 when n = 1/4. </h3>