A wheel of radius 1.9 feet is moving forward at 12 feet per second. How fast is the wheel turning?
1 answer:
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Answer and Explanation:
Given : Different relations.
a) {(1,1), (1,2), (1,3)}
b) {(1,2), (2,1), (2,2), (3,3)}
c) {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)}
d) {(1,3), (3,1)}
To find : Draw the directed graphs representing each relations?
Solution :
A directed graph is defined as a set of vertices that are connected together where all the edges are directed from one vertex to another.
Now, We represent each relation through directed graph.
a) {(1,1), (1,2), (1,3)}
Here, 1 is connected to itself, 1 is connected to 2 and 1 is connected to 3.
Refer the attached figure (1).
b) {(1,2), (2,1), (2,2), (3,3)}
Here, 1 is connected to 2 and 2 is connected to 1,2 is connected to itself and 3 is connected to itself.
Refer the attached figure (2).
c) {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)}
Here, 1 is connected to itself, 1 is connected to 2,1 is connected to 3,2 is connected to itself , 2 is connected to 3 and 3 is connected to itself.
Refer the attached figure (3).
d) {(1,3), (3,1)}
Here, 1 is connected to 3 and 3 is connected to 1.
Refer the attached figure (4).
Answer:
The bus would be 36 times late in 400 times of when Fred takes the bus
Step-by-step explanation:
Given that the probability of being the bus late is 0.09.
In order to find the number of times the bus will be late will be calculated by multiplying the total number of observations by probability.
It is also given that the total number of days he waits for bus is 400 times.
So,
The bus will be:
Hence,
The bus would be 36 times late in 400 times of when Fred takes the bus