Time taken to travel from Flacq to Curepipe is :
1 hour 45 minutes = 1 + 0.75 = 1.75 hours
Distance = 91 km
Average speed is equal to :
Average speed = 52 km per hour
Answer:
Colour ---- Probability
Blue ----- 0.2
Red ------- 0.4
Yellow ------ 0.4
Step-by-step explanation:
Given
Colour ---- Probability
Blue ----- 0.2
Red -------
Yellow ------
Required
Complete the table
In probability, all probabilities add up to 1.
i.e.
![P(Blue) + P(Red) + P(Yellow) = 1](https://tex.z-dn.net/?f=P%28Blue%29%20%2B%20P%28Red%29%20%2B%20P%28Yellow%29%20%3D%201)
Substitute 0.2 for P(Blue)
![0.2 + P(Red) + P(Yellow) = 1](https://tex.z-dn.net/?f=0.2%20%2B%20P%28Red%29%20%2B%20P%28Yellow%29%20%3D%201)
![P(Red) + P(Yellow) = 1 - 0.2](https://tex.z-dn.net/?f=P%28Red%29%20%2B%20P%28Yellow%29%20%3D%201%20-%200.2)
![P(Red) + P(Yellow) = 0.8](https://tex.z-dn.net/?f=P%28Red%29%20%2B%20P%28Yellow%29%20%3D%200.8)
From the question, we understand that the frequency of yellow and red balls are the same.
Hence:
![P(Red) = P(Yellow)](https://tex.z-dn.net/?f=P%28Red%29%20%3D%20P%28Yellow%29)
becomes
![P(Red) + P(Red) = 0.8](https://tex.z-dn.net/?f=P%28Red%29%20%2B%20P%28Red%29%20%3D%200.8)
![2P(Red) = 0.8](https://tex.z-dn.net/?f=2P%28Red%29%20%3D%200.8)
Make P(Red) the subject
![P(Red) = 0.4](https://tex.z-dn.net/?f=P%28Red%29%20%3D%200.4)
Recall that:
![P(Red) = P(Yellow)](https://tex.z-dn.net/?f=P%28Red%29%20%3D%20P%28Yellow%29)
Hence,
![P(Yellow) = 0.4](https://tex.z-dn.net/?f=P%28Yellow%29%20%3D%200.4)
So, the complete table is:
Colour ---- Probability
Blue ----- 0.2
Red ------- 0.4
Yellow ------ 0.4
Answer:
6,000 meters
Step-by-step explanation:
Length of one lap d = 400 m
Lee's speed = u = 7.2 km/h. Shelby's speed v = 9 km/h
After time t, Shelby will run x meters to cover exactly 3 more laps than Lee.
So x = vt
and
x - 3d = ut
Note t = x/v, then
x - 3d = x*u/v
x (1 - u/v) = 3d
x = 3d/(1 - u/v) = 3*400/(1 - 7.2/9) = 6,000 meters