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Here is the original equation, lets solve this step-by-step
(x + 2)/4 = 5
Now, lets find out how.
We must apply the inverse operation.
4/2 is the reciprocal, so lets multiply that to both sides.
4/2 = 2
5*4 = 20
4x + 8 = 20
-8 -8 Subtract 8 from both sides. (Inverse operation)
4x = 12
4x/4 = 12/4 Divide 4 by both sides (Inverse)
x = 12/4
x = 3 Simplified
Answer: x = 3
R = 0.9
A value of 0.9 would indicate that the correlation is positive. Since it's also close to the value 1, it would also tell us that the correlation of y and x is strong. Therefore, r = 0.9 would be a strong linear association in which y increases as x increases.
r = -1.0
Since the value of r is negative, this would mean that the correlation is also negative. Furthermore, the value of r is also at the minimum point which is -1.0 thus this would tell us that the correlation is a perfect linear association in which y decreases as x increases.
r = -0.6
Likewise, this r value is also negative thus allowing us to know that y will decrease as x increases. The value of r, which is -0.6, is also close to -1.0. This allows us to tell that it is a strong relationship. Therefore, r = -0.6 is a strong linear association in which y decreases as x increases.
r = 0.1
For this correlation, the r value is positive. This would indicate that the value of y will increase as x increases. Since the r value is only 0.1, we cannot say that it is a strong relationship since it is far from the maximum value for a perfect relationship which is 1. Therefore, r = 0.1 is a moderate linear association in which y increases as x increases.
Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>Equation Solving</u>
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
Answer:
This is a way of expressing a relationship between x and y in set notation. It is called an ORDERED pair.
