The correct answer is: Option (A) The new standard deviation is greater than $27.
Explanation:
The given sample set is the following:
75, 82, 100, 120, 140.
To find the new standard deviation, add the sixth skateboard to the above sample set, as follows:
75, 82, 100, 120, 140, 450.
Now we have 6 elements in the sample set.
<u>Step-1:</u> Find the <em>mean</em> of the new sample set.
Where, n is the total number of elements in the sample set. In this case, n=6.
<u>Step-2:</u> Find the <em>variance ()</em>.
<u>Step-3:</u> Find the new standard deviation.
Standard deviation is the square-root of variance.
New standard deviation ($143.53) is greater than the standard deviation ($27) without the sixth skateboard sample in sample set.
<u>Conclusion:</u> The Option (A) The new standard deviation is greater than $27 is the right answer.
Acute is the answer because it's less than 90°
Correct answer is d y=1/2x-1/2
Answer:
A
Step-by-step explanation:
They are the same line