Answer:
y = 1/2x +5
Step-by-step explanation:
The slope intercept form of a line is
y= mx+b where m is the slope and b is the y intercept
y = 1/2x +5
Hey there! :D
When there are two lines (parallel) that are cut by a transversal, corresponding angles form. These are angles that are in the same position on the same side. m<2 is corresponding to the angle that equals 38 degrees. They are congruent and have the same measure.
m<2= 38 degrees
Remember, this only works because the problem said that line L and M are parallel.
I hope this helps!
~kaikers
Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
2014⇒2277 athletes
2013⇒2070 athletes.
x=number of athletes in 2013
110% of x=2277
(110/100x=2277
x=(2277*100)/110=2070
2012⇒2300 athletes.
x=number of athletes in 2012
90% of x=2070
(90/100)x=2070
x=(2070*100)/90=2300
Answer: 2300 athletes were signed up for a spring sport in 2012.
Answer:
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that 
If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.
0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.
