Answer:
or 
Step-by-step explanation:
Given


Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;


becomes






The above is the area in terms of π
Solving further.... (Take π as 3.14)
becomes


Hence, the area of the sector is
or 
Correct
Its a geometric sequence with common ratio 2.
Answer:
Probability at least one car will get punctured: 0.39347
Step-by-step explanation:
B(10,000 , 0.00005)
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.00005)^10,000
= 1 - (0.99995)^10,000
= 1 - 0.60652...
= 0.39347 (probability that at least one car will get punctured)
As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].
Multiply negative 0.5 times negative 8
The answer is 4