9514 1404 393
Answer:
≈ (3.578, 5.789)
Step-by-step explanation:
We can substitute for y and solve for x.
(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r
x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle
x^2 +((0.5x +4) -4)^2 = 16
(5/4)x^2 = 16
x = 8/5√5 . . . . multiply by 4/5 and take the square root
y = 0.5x +4
y = 4/5√5 +4
The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).
Answer:
-6
Step-by-step explanation:
Given that :
we are to evaluate the Riemann sum for from 2 ≤ x ≤ 14
where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.
The Riemann sum can be computed as follows:
where:
a = 2
b =14
n = 6
∴
Hence;
Here, we are using left end-points, then:
Replacing it into Riemann equation;
Estimating the integrals, we have :
= 6n - n(n+1)
replacing thevalue of n = 6 (i.e the sub interval number), we have:
= 6(6) - 6(6+1)
= 36 - 36 -6
= -6
Answer:
See explanation below.
Step-by-step explanation:
The average is measure of central tendency that is also called sample mean and is calculated from the following formula:
This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:
And is important because is the most common measure of central tendency reported on any study.
Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency