Hello!
If there is a relationship between dependent and independent variables represented in a scatterplot, <span>The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
The independent variable is the one that influences the dependent variable. If there is a relationship between them, it doesn't matter the direction of the points in the scatterplot, but the correlation coefficient.
If the points go up from left to right, the correlation is called direct correlation (increasing the value of the independent variable will increase the value of the dependent variable).
If the points go down from left to right, the correlation is called inverse correlation (increasing the value of the independent variable will decrease the value of the dependent variable)
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Answer:
No solution
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
-----> is not true
therefore
You can't build a triangle with those dimensions
Answer: 1) Each of the 126 cubes has a volume = (1/3)3 = 1/3 × 1/3 × 1/3 = 1/27 cubic feet.
2) It takes 126 cubes to fill the bin, so the bin has a volume of 126 × 1/27 = 126/27 cubic feet. (Don't do this division yet - leave it as an improper fraction)
3) The volume of the bin is also given by the formula Volume = Area of Base × Height. Plus we know the volume is 126/27 cubic feet and the height is 2 1/3 = 7/3 of a foot, so:
Step-by-step explanation: Volume = Area of Base × Height
126/27 = Area of Base × 7/3
126/27 × 3/7 = Area of Base
Answer:
(x - 2)² + (y - 9)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (2, 9) and (x₂, y₂ ) = (2, 6)
r =
=
= = = 3
Centre = (h, k) = (2, 9) and r = 3, thus equation of circle is
(x - 2)² + (y - 9)² = 9