Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Answer:
$37.50
Step-by-step explanation:
$125 times30%=$37.50
Since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.
<h3>What is the relation between the p-value and the conclusion of the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected, which means that the results do not have statistical significance.
- If it is less, it is rejected, which means that the results have statistical significance.
In this problem, the probability is the p-value, hence since the p-value of the test is of 0.00001 < 0.01, these results have statistical significance.
More can be learned about p-values at brainly.com/question/13873630
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Answer:
7525 milliliters
Step-by-step explanation:
because if you multiply 2150 by 3.5 you will get that number