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:
y > 2x + 3
Step-by-step explanation:
Okay, first let's simplify the equation by understanding the form.
y = mx + b is the form.
Currently we have 2x - y < -3, So we can subtract 2x on both sides to get
-y < -2x - 3
Let's multiply each term by -1 to get
y < 2x + 3, but wait! We have to flip the sign!
The answer is :
y > 2x + 3
Answer:
A
Step-by-step explanation:
Let l represent length and w represent width
We know that l = 3w-6
(3w-6)(w) = the area
Use distributive property
A is the correct answer
Hope this helps :)
Answer:
The 12 pack has a better value.
Step-by-step explanation:
1. create a ratio table.
you want to know how much the 4 pack would cost if it was a 12 pack.
you can see the ratio table in the picture above.
As you can see, when the 4 pack equals $7.68, making it a 12 pack will equal $23.04.
<em>Then</em><em>,</em><em> </em><em>compare</em><em> </em><em>2</em><em>3</em><em>.</em><em>0</em><em>4</em><em> </em><em>to</em><em> </em><em>2</em><em>2</em><em>.</em><em>3</em><em>2</em><em>.</em><em> </em>
<u>In</u><u> </u><u>conclusion</u><u>,</u><u> </u><u>the</u><u> </u><u>1</u><u>2</u><u> </u><u>pack</u><u> </u><u>has</u><u> </u><u>a</u><u> </u><u>better</u><u> </u><u>value</u><u>.</u>
Answer:
(6, 6)
Step-by-step explanation:
Each grid square is 2 units. 10 units up from point P is 5 grid squares up, or 3 grid squares above the x-axis. The x-coordinate remains the same (6), and the y-coordinate is the one labeling the 3rd line above the x-axis: 6.
The coordinates of point S are (6, 6).
