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
The answer is p = 5.
Here are the steps I did.
1. Simplify 8p + 10p - p - 8p + 5 to 9p + 5 ( 9p + 5 = 50)
2. Subtract 5 from both sides ( 9p = 50 - 5)
3. Simplify 50 - 5 to 45 ( 9p = 45)
4. Divide both sides by 9 ( 45/9)
5. Simplify 45/9 to 5 ( p = 5)
Find the probability of Red/small.
Red = large + small
large = 8
Small = 12
Plug in 8 for large, and 12 for small
Red = 8 + 12
Red = 20
Now we know that the total red = 20
Do the same with small
3 small blue
12 small red
Small = blue + red
Small = 3 + 12
Small = 15
Note that red is first then small. Put red over small
Remember that red = 20, small = 15
20/15 is the fraction you need.
However, note that it says "reduce your answer" at the bottom
Divide 5 from numerator and denominator
(20/15)/(5/5) = 4/3
4/3 is your answer
hope this helps
