A is true: the absolute value of 0.92 is close to 1, and 0.92 is positive.
B is false: correlation can also be negative.
C is false: the absolute value of -.17 is closer to 0 than 1; therefore, it is a weak correlation.
D is true: the absolute value of .01 is very close to 0, meaning that there is no significant correlation.
E is true: correlation can range from -1 (perfect negative) to 1 (perfect positive).
F is false: it measures the strength and direction between two numerical variables!
In conclusion, A, D, and E are true.
Greatest Common Factor of 12,18,84.
Factors of 12:1,2,3,4,6,12
Factors of 18:1,2,3,6,9,18
Factors of 84:1,2,3,4,6,7, 12,14,21,28 42,84
The Greatest Common Factor (GCF) of all those three factors is 6.
The Greatest Common Factor is the greatest Factor in all the numbers. In this set, 12,84,84, 6 is the greatest, making it the Greatest Common Factor.
The answer is C 1.312, -1.33, -1 3/9, -1 3/10
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Answer:
Step-by-step explanation:
6x + y = 30
-6x - 15y = 54
-14y = 84
y = -6
6x - 6 = 30
6x = 36
x = 6
(6, -6)