Thee correlation factor formula for two variables is
(r) =[ nΣxy – (Σx)(Σy) / Sqrt([nΣx^2 – (Σx)^2][nΣy^2 – (Σy)^2])].
A). as per the formula the correlation factor for the given data is 0.94.
B). the month of September has the highest correlation as 0.94 is much closer to 1 than 0.89.( note: 1 denotes the perfect correlation and 0 denotes no correlation at all)
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Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees.
-12 + 3x + 2 = 5x - 10 - 8x
-10 + 3x = -3x -10
-10 + 6x = -10
6x = 0
x = 0
Answer:
shown below.
Step-by-step explanation:
v = 150 since 180 - 30
for w we need 2y and x. the base angles of the triangle are 30 and 50 therefore x = 100. 2y = 30 because corresponding angles. ergo, w = 50
x = 100
y = 15
z = 50
