Step-by-step explanation:
Radius of the circle is 20mm.
Use the formula for the area of the circle.
A = r^2 * π
A = 20^2 * π
A = 1256.64 mm^2 (2 d.p.)
If you are proving a congruence of triangles then you need to match the corresponding parts to the triangle you are proving congruent.
BAC would then be congruent to MJR because of the corresponding angles
B is the same angle as M
A is the same angle as J
C is the same angle as R
Answer: a) 4.6798, and b) 19.8%.
Step-by-step explanation:
Since we have given that
P(n) = 
As we know the poisson process, we get that

So, for exactly one car would be
P(n=1) is given by

Hence, our required probability is 0.2599.
a. Approximate the number of these intervals in which exactly one car arrives
Number of these intervals in which exactly one car arrives is given by

We will find the traffic flow q such that

b. Estimate the percentage of time headways that will be 14 seconds or greater.
so, it becomes,

Hence, a) 4.6798, and b) 19.8%.