Answer:
Variance = 4.68
Step-by-step explanation:
The formula for the variance is:
Where:
The mean can be calculated as each value multiplied by its probability
Replacing the mean and the summatory of X:
<h3>
Answer: Yes they are equivalent</h3>
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Work Shown:
Expand out the first expression to get
(a-3)(2a^2 + 3a + 3)
a(2a^2 + 3a + 3) - 3(2a^2 + 3a + 3)
2a^3 + 3a^2 + 3a - 6a^2 - 9a - 9
2a^3 + (3a^2-6a^2) + (3a-9a) - 9
2a^3 - 3a^2 - 6a - 9
Divide every term by 2 so we can pull out a 2 through the distributive property
2a^3 - 3a^2 - 6a - 9 = 2(a^3 - 1.5a^2 - 3a - 4.5)
This shows that (a-3)(2a^2 + 3a + 3) is equivalent to 2(a^3 - 1.5a^2 - 3a - 4.5)
14 hours = $112
1 hour = 112 ÷ 14 = $8
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Answer: It is $8/hour
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Answer:
x= -8
Step-by-step explanation:
x/2 is greater than of equal to -4
hence
x/2=-4
x=-4*2= -8