The slope of the red line would also be -3 because the lines are parallel, and parallel lines have the same slope.
The formula for slope is (y-y1)/(x-x1).
1 = x
-1 = y
-2 = x2
8 = y2
You would plug those into the formula: (-1-(-2))/(-1-8) and that would equal to: 1/(-9).
So the given angles are supplementary (add to 180). You take the two and add them. 21x+5+37x+1. This gets set to equal 180. 58x+6=180. Subtract 6 from both then divide by 58. You get x=3
Answer:
option (a) It will be closer to 30 than to 20
Step-by-step explanation:
Data provided in the question:
For sample 1:
n₁ = 10
variance, s₁² = 20
For sample 2:
n₂ = 15
variance, s₂² = 30
Now,
The pooled variance is calculated using the formula,

on substituting the given respective values, we get

or
= 26.0869
Hence,
the pooled variance will be closer to 30 than to 20
Therefore,
The correct answer is option (a) It will be closer to 30 than to 20