Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
First problem:
Find the z score for raw score 6 minutes:
6 - 5
z = --------- = 1.429
0.7
Using a TI-83 calculator's distribution functions, I found that the area to the right of 6 minutes is
normalcdf(1.428,100) = 0.076
Hey there! :D
Supplementary= 180
180= 3x+10+x
x= the first angle I put 3x because it is 3 times the other one, and 10 more.
Now, solve.
180= 4x+10
Subtract 10.
170=4x
Divide both sides by 4.
x=42.5
That is the measure of the first angle.
42.5*3= 127.5
Now, add 10.
137.5 is the second angle.
We can add them to make sure.
137.5+42.5= 180 <== this works
I hope this helps!
~kaikers
Answer:
Step-by-step explanation:
given AD = DB , means D is the midpoint of AB
given AE = EC , means E is the midpoint of AC
<h3>
<u>MID POINT THEOREM</u></h3>
In a triangle ABC, if D and E is the midpoint of side AB and AC respectively.
Then DE is parallel to BC and length of DE is half of length of BC.
BC = 22 (given in the question)