John lives in Massachusetts (MA). On a walk to work John saw 12 parked cars 8 of which have MA licence plates. If John selects randomly 9 of these 12 cars, what is the probability that all of the cars he selected will be with out of state plates?

0%

Step-by-step explanation:

8 out of 12 cars have MA license plates

4 out of 12 cars are without state plates.

If John selects 9 out of 12 cars randomly, at most 4 cars are without state plates and at least 5 cars have MA license plates. Therefore, the probability that all of the cars selected will be without state plates is 0% since it is not possible to select more than 4 cars without MA plates.

Part 1) The diameter is

Part 2) The radius is

Part 3)  The length of an arc is equal to

Step-by-step explanation:

Part 1) Find the diameter

we know that the circumference of a circle is equal to

where

D is the diameter

we have

assume

substitute and solve for D

Part 2) Find the radius

we know that

The radius is half the diameter

so

substitute

Part 3) Find the length of an arc of 190 degrees

we know that

The circumference of the circle subtends a central angle of 360 degrees

so

using proportion