The equation of line ab is (y−3) = 5 (x − 4). what is the slope of a line perpendicular to line ab?
1 answer:
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Answer:
The average distance of each observation from the mean is 0.
Step-by-step explanation:
We are given the following in the question:
$7, $20, $9, $35, $12, $15, $7, $10, $20, $25
Formula:
Difference from the mean value of each term:
-9, 4, -7, 19, -4, -1, -9, -6, 4, 9
Average distances =
Thus, the average distance of each observation from the mean is 0.
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
