Two angles are supplementary when they <span>add up to 180 degrees </span>⇒
m∠1 + m∠2 = 180°
4y + 7 + 9y + 4 = 180
13y + 11 = 180
13y = 180 - 11
13y = 169
y = 169/13
y = 13
m∠2 = 9y + 4 = 9 * 13 + 4 = 121°
Find slope
slope betwen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
first make denoms same
denom is 10
(4/5,1/5) turns to (8/10,2/10)
(1/2,3/2) turns to (5/10,15/10)
slope=(15/10-2/10)/(5/10-8/10)=(13/10)/(-3/10)=13/-3=-13/3
use point slope
use (4/5,1/5)
y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y-1/5=-13/3(x-4/5)
expand
wait, we don't need to do that, the only one with slope -13/3 is D
answer is D
Mean: $620, Mode: $600
Let's sort the rank stats.
First quartile: $580
Median: $610
Third quartile: $645
85th percentile: $685
OK, we're ready. What happened to a and b?
c. $645 is the third quartile, 75th percentile. That means 25% of the salaries are higher.
Answer: 25%
d. $685 is the 85th percentile, 15% greater.
Answer: 15%
e. The mean is the sum of all the salaries divided by the count.
Mean = Sum / Count
So the sum is the count times the mean,
Sum = Count × Mean = 100 × $620 = $62,000
Big payroll.
Answer: $62,000
