Answer:
A.The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.
Explanation:
If the mean productivity of two workers is the same.
For a random selection of 30 hours in the past month, the manager compares the number of items produced by each worker in that hour.
There are two samples and the productivity of the two men is paired for each hour.
Answer:
(x+4)^2 + (y-9)^2 = 25
Step-by-step explanation:
We can use the equation (x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center is at (-4,9) and the diameter is 10 which means the radius is 10/2 or 5
(x- -4)^2 + (y-9)^2 = 5^2
(x+4)^2 + (y-9)^2 = 25
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
