Answer:
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:
Substitute:
The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:
Substitute the coordinates of the points (2, 1) and (5, -4):
Finally we have:
Answer: draw a diagonal line
Step-by-step explanation:
like this:
since it's going up, it's a positive slope
Answer:
y = 7
Step-by-step explanation:
An equilateral triangle has all its sides to be equal..
so.
10 = x
10 = y + 3
y = 10 - 3
y = 7
Answer: The professor was not accurate with his hypothesis.
Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternate hypothesis: At least one proportion of the student will differ from the others.
Step-by-step explanation: To check if the professors hypothesis were inaccurate.
What percentage of student bought a hard copy of the book.
(25 ÷ 200) × 100 = 12.5%
What percentage of the student printed it from the web.
(85 ÷ 200) × 100 = 42.5%
What percentage of the students read it online.
(90 ÷ 200) × 100 = 45%
This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.
Therefore; the null hypothesis are
P1 = 12.5%, P2 = 42.5%, P3 = 45%
The alternative hypothesis will state that at least one of the proportion will be different from the others.
Answer: 123 square feet
Step-by-step explanation: The question is a little odd, but I can break it down easily. It wants us to find the area of a three foot border around his room.
First, the whole area of his room is 20 x 24 = 480
Next, we have to make the measurements 3 feet smaller on each wall, so 17 x 21 = 357
Finally, to find the area of the border, we simply do 480 - 357 = 123
He needs to buy 123 square feet of carpeting
Hope this helps!
