The picture is blank bsnsbsbsbdbbdbshd
Rounding depending on what the problem is
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
Answer:
See below
Step-by-step explanation:
B) The correlation coefficient is 
, which can be determined by plugging the data into a TI-84 calculator.
C) A correlation coefficient of indicates that the correlation between the independent and dependent variable (x and y in this case) is moderately strong with a positive correlation. The closer 
is to 1, the stronger the positive correlation. The closer is to -1, the stronger the negative correlation. If is closer to 0, then there's no correlation.
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
__
a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
__
b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
