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".
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
Answer: 22 pieces
Step-by-step explanation:
You have to divide 49.5 ÷ 2.25
49.5÷2.25= 22
Jorge can cut 22 pieces of plywood for the tracks.
Use the the double angle formula:
sin(2A)=2sin(A)cos(A)
substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)
