Answer:
In this case we use the Poisson distribution because we are talking about the occurrence of an event (number of tracks) over a specified interval (in this case an area interval).
The probability of the event occurring x times over an interval is:
P(x) = nˣ × e⁻ⁿ ÷ x!
where n is the mean.
a) P(7) = 6⁷ × e⁻⁶ ÷ 7! = 0.1376
b) P(x ≥ 3) = 1 - P(x < 3) = 1 - P(2) - P(1) - P(0)
P(2) = 6² × e⁻⁶ ÷ 2! = 0.0446
P(1) = 6¹ × e⁻⁶ ÷ 1! = 0.0149
P(0) = 6⁰ × e⁻⁶ ÷ 0! = 0.0025
P(x ≥ 3) = 0.9380
c) P(2 < x < 7) = P(3) + P(4) + P(5) + P(6) = 0.0892 + 0.1339 + 0.1606 + 0.1606 = 0.5443
d) The mean is going to be 6.
e) The standard deviation is √n = √6 = 2.4
Step-by-step explanation:
The basic form of equation:
(x-h)²=4a(y-k),
(h,k)=coordinates of vertex
(h, k+a) = coordinate of focus
For given parabola:
axis of symmetry: x=2
(h, k) =(2,-3)
(h, k+a)=(2,5)
k+a=5
-3+a=5
a=8(distance from vertex to focus on the axis of symmetry)
equation: (x-2)²=4×8(y+3)
(x-2)²= 32(y+3)
Answer:
1041.27
Step-by-step explanation:
A=πrl+πr2
l=r2+h2
Solving forA
A=πr(r+h2+r2)=π·12·(12+102+122)≈1041.26829
Answer
Step-by-step explanation:
4xc=4c
4x-2= -8
4c-8
