Exterior angles of polygons always add up to 360 degrees.
A pentagon has 5 sides, so divide 360 degrees by 5 sides.
360/5 = 72
One exterior angle of a regular pentagon (all 5 sides and angles are equal) is 72 degrees.
Answer:
below
Step-by-step explanation:
Parallel lines will ALWAYS have the same slope. Thus, the slope for the given line will be the same for the parallel line.
Best of Luck!
Standard form is
ax+by=c
where a,b,c are integers
y+3=1/4x
timesboth sides by 4
4y+12=x
minus x both sides
-x+4y+12=0
minus 12 both sides
-x+4y=-12
(I like x to be positive so)
times both sides by -1
1x-4y=12
a=1
b=-4
c=12
Answer:
a) 2 accidents per day
b) .7071 accidents
Step-by-step explanation:
a) The mean is the sum of each possible number of accidents multiplied by its respective probability. So,
E(x) = (0)(.1) + (1)(.2) + (2)(.45) + (3)(.15) + (4)(.05) + (5)(.05) = 2
b) The variance V(x) = E(x^2) - E(x)^2, and the standard deviation is the square root of the variance. So,
V(x) = E(x^2) - (2)^2
= (0)(.1) + (1)(.2) + (4)(.45) + (9)(105) + (16)(.05) + (25)(.05) - 4 = 0.5
sqrt(0.5) = .7071
