Answer:
a) 3.6
b) 1.897
c)0.0273
d) 0.9727
Step-by-step explanation:
Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.
a)
The mean of a Poisson random variable X is μ.
mean=E(X)=μ=3.6.
b)
The standard deviation of a Poisson random variable X is √μ.
standard deviation=S.D(X)=√μ=√3.6=1.897.
c)
The probability for Poisson random variable X can be calculated as
P(X=x)=(e^-μ)(μ^x)/x!
where x=0,1,2,3,...
So,
P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!
P(no case of rabies)=P(X=0)=0.0273.
d)
P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)
P(at least one case of rabies)=1-0.0273=0.9727
45 degrees? I may be wrong. 360/8=45
Answer:
CD||GH is "equal" ABD is "Right angle" and ABD||GEF is "Approximately equal"
Answer: 42
Step-by-step explanation: 3 x 14
Answer:
Step-by-step explanation:
Let's just check something out before we continue to fill in the blanks.
The zeros are (x - 1) and (x -5)
y = (x - 1)(x - 5) Remove the brackets.
y = x^2 - 6x + 5 Complete the square
y = (x^2 - 6x + 9) + 5 - 9
y = (x - 3)^2 - 4
So we have a minumum at (3, - 4) Now we can go through the rest of the questions.
Part A
(1,0) and (5,0)
Part B
The vertex is (3, - 4) See the completed square above.
Part C
It's a minimum. It is the point between the two roots on the x axis. The vertex drops below the x axis.
Part D
The axis of symmetry goes through the x value of the minimum.
x = 3
The answers are all in parts A B C D. I leave you to figure out where to put them. You should be able to do that.