Answer: The first experiment has M probabilities, and the second has I(m) outcomes, that depends on the result of the first.
And lets call m to the result of the first experiment.
If the outcome of the first experiment is 1, then the second experiment has 1 possible outcome.
If the outcome of the first experiment is 2, then the second experiment has 2 possibles outcomes.
If the outcome of the first experiment is M, then the second experiment has M possibles outcomes.
And so on.
So the total number of combinations C is the sum of all the cases, where we exami
1 outcome for m = 1
+
2 outcomes for m=2
+
.
.
.
+
M outcomes for m = M
C = 1 + 2 + 3 + 4 +...´+M
Mean number of errors in each page = 0.01
Mean number of errors in 100 pages = 0.01*100=1
It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function. Tables and software are available for that purpose.
Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.
The Poisson distribution has a PMF (probability mass function)


with λ = 1
=>




=>

or
P(k<=3)=
0.9810 (to four decimal places)
<h3>250° is a reflex angle.</h3>
<h3>80° is an acute angle.</h3>
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V =
× r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V =
× r² × h
V =
× <u>6.5²</u> × 24
V =
× <u>42.25 × 24</u>
V =
× 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
52
Step-by-step explanation:
5x-22+4x+4 = 90
9x-18=90
9x=108
x=12
4*12+4
52