Given a normally distributed data set with the mean = 88 and the standard deviation = 6, according to the empirical rule, what p
1 answer:
According to the empirical rule, the percent of the data points that are below 100 is; 95.44%
<h3>How to use Empirical Rule in Statistics?</h3>We are given;
Mean; μ = 88
Standard deviation; σ = 6
Sample mean; x' = 100
Formula for z-score is;
z = (x' - μ)/σ
z = (100 - 88)/6
z = 2
Now, from the empirical rule of normal distribution graph attached, we see that at z = 2, the percentage is 95.44%. However, we want to find the percentage that lie below 100. Thus, this is 95.44%
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Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
In the given equation, we have:
The b term here is 8. Therefore:
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
The expression inside the parentheses is now a perfect square trinomial. Factor it:
And we are done!