Answer:
Step-by-step explanation:
We are given the diameter of the circle. By definition, the diameter goes through the circle right at its center. We can use the midpoint formula to find the center of the diameter which will give us the center of our circle.
which simplifies to
which gives us the midpoint
M = (-10, 1) That's the h and k of our center. We will use that along with one of the given points to solve for r. Plugging into the standard form of a circle (which I'm assuming you know):
and
so

Now we'll use that with the center we found and write the equation:

That's choice B
I'm not exactly sure, so if I'm wrong please correct me.
The equation is 2kg + x = s
↓
(can be any variable letter)
The formula for the confidence interval is given by
Sample mean + z*[σ/√n], and
Sample mean - z*[σ/√n]
We have:
Sample mean = 23.95
n = 40
σ = 2.55
z* for 99% confidence = 2.58
Substitute these values into the formula, we have
23.95 + (2.58)(2.55÷√40) = 24.99
23.95 - (2.58)(2.55÷√40) = 22.91
So the lower interval is 22.91 and the highest interval is 24.99
Answer:
5
Step-by-step explanation:
2/12 goes in 11/12 5 times. 1/12 inch will be left.
Answer:
Answer:
Distance is 13.6 units.
Which means it is 13
Step-by-step explanation:
Given a grid shows the positions of subway stop and house. The subway stop is located at (-7, 8) and house is located at (6, 4).
we have to find the distance between house and the subway stop.
Points are (-7, 8) and (6, 4).
Using distance formula,
D= /(x2-x1)^2+(y2-y1)^2} = (6-(-7))^2+(4-8)^2=(13)^2+16}={169+16}={185}=13.60147\sim13.6units.
Hence, distance between house and the subway stop is 13.6 units.