The question is incomplete! The complete question along with answer and explanation is provided below.
Question:
In applying the Poisson probability distribution formula, P(x) equals μx•e−μx!
Briefly describe what the symbol mu represents. Choose the correct answer below.A.The symbol mu is a variable that represents the area of each region.B.The symbol mu is a variable that represents the number of occurrences of the event in an interval.C.The symbol mu is a variable that represents the number of occurrences of the event.D.The symbol mu represents a static value.E.The symbol mu is a variable that represents the mean number of occurrences of the event in the intervals.
Answer:
μ is a variable that represents the mean number of occurrences of the event in the intervals.
Step-by-step explanation:
The Poisson distribution is often used to model the number of occurrences of an event in a certain interval.
P(x, μ)
Where the symbol mu (μ) represents the mean number of occurrences of an event x in a specified interval and the variable x represents a static value.
Therefore, the correct answer is option E, μ is a variable that represents the mean number of occurrences of the event in the intervals.
Answer:
Step-by-step explanation:
p=sec0+tan0
=1/cos0 + sin0/cos0
=(1+sin0)/cos0
square both sides
(1+sin)^2 /cos^2 = p^2
(1+sin)^2/(1 - sin^2 ) = p^2
(1+sin)^2/((1-sin)(1+sin)) = p^2
(1+sin)/(1-sin)=p^2
1+sin=p^2-p^sin
sin+p^2sin=p^2-1
sin(1+p^2)=(p^2-1)
sin=(1-p^2)/(1+p^2)
cosec=1/sin
=(1+p^2)/(1-p^2)
Using the given information find the length and width of the base:
Perimeter = 2L + 2W
L = 3W
Replace L in the first equation:
Perimeter = 2(3W) + 2w
96 = 2(3W) +2W
Simplify:
96 = 6W +2W
96 = 8w
Divide both sides by 8:
w = 96 / 8
w = 12
The width is 12 inches.
The length = 3 x 12 = 36 inches.
Volume = L x W X H
Volume = 36 x 12 x 14
Volume = 6,048 cubic inches.
Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:

This can be transformated as following:
When you multiply the function by a factor <em>a</em> (
)<em> </em>and <em>a>0 </em>, then the function is vertically stretched.
When you add a number <em>k</em> to the parent function, the function is shifted up (
)
The parent function given in the problem is:

To obtain the function
, the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.