The equation of circle with center (g,f) and radius r is given by,
(x-g)² + (y-f)² = r²
Now, compare equation (x-2)² + (y+4)² = 6 with the above equation.
g = 2 and f = -4
Therefore, center of the circle is (2,-4)
Answer:
H0: σ² = 0.0016 against the claim
H1: σ² ≠ 0.0016
Step-by-step explanation:
The claim is the alternative hypothesis . If we have the alternative hypothesis that variance is not equal to 0.0016. Then the null hypothesis would
H0: σ² = 0.0016 against the claim
H1: σ²≠ 0.0016
This is a two tailed test.
The null hypothesis is opposite to the claim stated. The claim is the alternative hypothesis.
By knowing the alternative hypothesis one can find the null hypothesis.
The claim is that the variance of the number of accidents per day is no longer equal to 0.0016.
The claim is H1: variance≠ 0.0016 or
H1= σ²≠ 0.0016
Therefore the null hypothesis is
H0: σ²=0.0016
% damaged = (14 000/40000) * 100%
= 14/40 * 100%
= 0.35*100%
= 35%
Answer:
Step-by-step explanation:
<u>Quadratic Equation</u>
If the roots of a quadratic equation are known, we can form the equation as follows:
where x1 and x2 are the known roots, and a is the leading coefficient.
We are given the roots as x1=1 and x2=-6, and the leading coefficient as a=5, thus:
Operating:
Simplifying:
Multiplying: