Answer:
d ≈ 3.6 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )
d = 
= 
= 
= 
= 
≈ 3.6 ( to the nearest tenth )
5 (x+4) ...................
3/8 of 76,000....." of " means multiply
3/8 * 76,000 = 228,000/8 = 28,500 <==
Answer:
x = 23/5 OR 4.6
y = 157/15 OR 10.46
Step-by-step explanation:
x = 4x + 6x - 33 = 13
> 10x - 33 = 13
> 10x = 13 + 33
> 10x = 46
y = 4 (25/5) + 3y = -13
> 92/5 + 37 = -13
> 3y = -13 - 92/5
> 3y = - 157/5
Answer: Choice B
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A more in depth look
Choice A is true because the points are going downward as you read from left to right. The points aren't all on the same line but they are close to one. We can cross choice A off the list.
Choice B is false. So this is the answer. The fact that the points are close to the same line indicates that the r value is close to -1 rather than 0. If the points were randomly scattered about, or if they fell on a curve such as a parabola, then the linear correlation coefficient r would be (closer to) zero.
Choice C is true. The explanatory variable is the independent variable x. We can cross choice C off the list.
Choice D is true. The points are fairly close to the same straight line. It's not perfect but it's good enough. We can cross choice D off the list.
