Standard deviation is the square root of the variance, which is the average squared deviation from the mean and as an average of some squared numbers it can't be negative<span>.
</span><span>The smallest value variance can reach is zero. This is when all the numbers in the data set are the same, therefore all the deviations from the mean are zero, all squared deviations are zero and their average is also zero.</span>
Put the equation
into the form y = ( x − h )^2 + k
Given equation is
We apply completing the square method
we take coefficient of middle term and then divide by 2 and then square it
coefficient of middle term is 26
Divide by 2, it becomes 13
then we square it (13)^2 = 169
Add and subtract 169
We got the equation in vertex form
I believe this is the answer
Answer:
... anything less than 2.98??
Step-by-step explanation:
Answer:
a. (-3, 2).
b. √65
c. (x + 3)^2 + (y - 2)^2 = 65
Step-by-step explanation:
a. The center is the midpoint of the diameter PQ.
= (-10+4)/2, (-2+6)/2
= (-3, 2).
b. The radius is the distance from the center to a point on the circle.
Take the point (4, 6):
The radius = √((-3-4)^2 + (2-6)^2)
= √65.
c. The equation of the circle is:
Using the standard form
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the center and r = the radius:
it is (x - (-3)^2 + (y - 2) = 65
= (x + 3)^2 + (y - 2)^2 = 65.