X + 2x + x + 10 = 90
4x = 80
x = 20
Answer:
The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d.p
Step-by-step explanation:
This is a Poisson distribution problem
The Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 10 transactions per 20 minutes
x = variable whose probability is required = 6 transactions in the next 20 minutes
P(X = 6) = (e⁻¹⁰)(10⁶)/6! = 0.06306
6 √5
7 π
Both continue on forever and will never have an exact answer - therefore, they're irrational.
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
