Answer:
Correlation requires both variables to be quantitative.
Step-by-step explanation:
The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".
-1/2 is your answer to this question
Suppose
At the same time, we can write
Note that 
(just reverse the sum). Let's pair the first terms of 
and 
, and the second, and the third, and so on:
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
But , as we pointed out, so
-x^2 + 4x + 12 = -3x + 24
-> x^2 - 7x + 12 = 0
-> (x-3)(x-4) = 0
-> x= 3 or 4
so y = 15 when x = 3, y = 12 when x = 4
Answer:
3(2x - 5)(x + 2)
Step-by-step explanation:
6x^2 - 3x - 30
= 3(2x^2 - x - 10)
= 3(2x - 5)(x + 2) (answer).
