From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
Answer:
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have 
as one of the sides.
They hypotenuse, which is x is just 
Simplify and we get x = 
Answer:
The probability of picking a green is 0.4
Step-by-step explanation:
Mathematically, when we talk of the highest possibility an event can have, we have the answer as 1
Hence, when we add up all the probabilities, it is expected that we arrive at a value equal to 1
Thus, the probability of selecting each individual colors add up to 1
since we have the probability of three colors, the probability of the fourth will be the sum of the others subtracted from 1
we have the probability of picking a green as;
1 - 0.25 - 0.15 - 0.2 = 0.4
