Answer:
The probability that occurrence of 8 in ten minutes is 0.0771.
Step-by-step explanation:
Poisson Distribution:
A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter 
(>0), if the p.m.f is given by
for x=0,1,2,...
= 0, elsewhere
The mean number of occurrences in ten minutes is 5.3.
Here = 5.3 and x= 8
=0.0771
The probability that occurrence of 8 in ten minutes is 0.0771.
V = 1/3 × (pie) × radius^2 × height of cone
Answer:
927 cubic inches
Step-by-step explanation:
The area of the octagonal base is ...
A = (1/2)Pa
where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...
A = (1/2)(8·4)(4.83) = 77.28 . . . square inches
The volume of the prism is given by ...
V = Bh
where B represents the area of the base, and h is the height.
V = (77.28 in^2)(12 in) = 927.36 in^3
The volume of the prism is about 927 cubic inches.
We are given the vertex of a parabola equal to (4, 0) and that the passes the point (6,1). In this case, it is assumed from the given that the parabola is facing upwards. In this case, the equation is (y-k) = 4a (x-h)^2 ; y = 4a (x-4)^2 when x is 6 and y is 1. then,
1 = 4a (6-4)^24a is equal to 1/4
the equation then is y = 1/4 (x-4)^2
