Answer:
Step-by-step explanation:
Initial number is 64 players
<u>Number of players reduce twice every run and will be equal to 2 to reach the grand final</u>
- 64*(1/2)^x = 2
- (1/2)^x = 1/32
- 2^-x = 2^-5
- -x = -5
- x = 5
Number of runs is 5
64 > 32 > 16 > 8 > 4 > 2
5x- 10 = 20
5x -10 +10 = 20 +10
5x = 30
5x/5 =30/5
x = 6
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
Answer:
69.08
Step-by-step explanation:
circumference is 2πr which is 3.14 x 2 x 11
To find in how many ways this can be done, we can use the method of combination.
As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.
For 4 out of 5 main courses, the combination wouls be 5C4.
For 6 out of 8 desserts, the combination would be 8C6.
We can then combine them into a single equation to find the answer:
3C2 x 5C4 x 8C6
=420
Therefore, the answer is 420 ways.
Hope it helps!
