The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest
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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:
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Question 1:
<span>5z – 9 = 36
5z = 45
z = </span>
z = 9
Hence, the answer is D.
Question 2:
<span>5(2z + 4) = 0
</span><span>
10z + 20 = 0
10z = -20
z = </span>
<span>
z = -2
Hence, the answer is A.
Question 3:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a = 21
a = </span>
a = 3
Hence, the answer is B.
Question 4:
<span>3(4x + 5) = 12
12x + 15 = 12
12x = 12 - 15
12x = -3
x = </span>
Hence, the answer is A.
Question 5:
<span>4x – 8 – 4x = 9
-8 </span>≠ 9
Hence, the answer is A.
<span>5z – 9 = 36
5z = 45
z = </span>
z = 9
Hence, the answer is D.
Question 2:
<span>5(2z + 4) = 0
</span><span>
10z + 20 = 0
10z = -20
z = </span>
<span>
z = -2
Hence, the answer is A.
Question 3:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a = 21
a = </span>
a = 3
Hence, the answer is B.
Question 4:
<span>3(4x + 5) = 12
12x + 15 = 12
12x = 12 - 15
12x = -3
x = </span>
Hence, the answer is A.
Question 5:
<span>4x – 8 – 4x = 9
-8 </span>≠ 9
Hence, the answer is A.