Answer:
A) 2
Step-by-step explanation:
I<em>n a box-and-whisker plot, the left "whisker" is the bottom 25%, the line between the two "boxes" is to 50%, and the right "whisker" is the top 25%</em>.
In class 2, the 90 point mark is where the line between the boxes are, which means that 50% of the class earned 90% or less. That is 13/2 = <em>6.5 people</em> (this is impossible but it will work out)
In class 1, the 80 point mark is also where 50% is. So, half of the students, 17/2 = <em>8.5 people</em>, have 80 points or less.
<em>8.5 - 6.5 =</em> 2 people.
Answer:
5y - 6x = 53
Step-by-step explanation:
Given the segment with endpoints M(−3, 7) and N(9, −3), let us find the slope first
m = y2-y1/x2-x1
m = -3-7/9-(-3)
m = -10/12
m = -5/6
Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:
m = -1/(-5/6)
m = 6/5
To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c
7 = 6/5 (-3)+c
7 = -18/5 + c
c = 7 + 18/5
c = (35+18)/5
c = 53/5
Substitute m = 6/5 and c = 53/5
y = 6/5 x + 53/5
multiply through by 5
5y = 6x + 53
5y - 6x = 53
hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53
First, do what's in the paranthesis:
(4*4-12)
Multiplication first:
16-12
Then subtract:
4
We get:
5-1+2*4*8
Multiply:
2*4
8
Multiply, again:
8*8
64
We get:
5-1+64
Subtract:
5-1
4
Add:
4+64
Answer: 68
Parallel lines have the same slope
Y = -8x + 8
The slope will be -8
Therefore: y = -8x + b
Plug in the point
7 = -8(9) + b
7 = -72 + b, b = 79
Solution: y = -8x + 79
