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
Answer:
672
Step-by-step explanation:
Formula is length times width times height
14 x 8 = 112
112 x 6 = 672
Answer:
2/5 or 40% of a bag
Step-by-step explanation:
2 bags/5 people
goes to 2/5
which is equal to 4/10
also equal to 40/100
we can rewrite this as a percenatge 40%
Therefore each person gets 40% of a bag of marshmellows
Answer:
.
Step-by-step explanation:
We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form 
because then we can find the x-intercept in the following manner:
We factor our function 
and get
Now this form let's us easily find the x-intercepts:
and so we pick the second choice: f(x)=(2x+1)(2x-1).
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67
