Answer:
midpoint formula:
x1+x2/2 y1+y2/2
-4 + (-2)/2 which then simplifies to -6/2 and then to -3
2 + 2 /2 which then simplifies to 2
x= -3
y= 2
so (-3,2) is the coordinate point of the midpoint of this segment
It's the third graph, the one where the absolute function is opening downwards
The answer is: <span>16.82
it's tan (angle)=opposite/adjacent</span>
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%