Answer:
that is the solution is to the question
Hello, do you know that for any a, b and c real numbers with c different from 0 the following is correct?
![\dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%2Bb%7D%7Bc%7D%3D%5Cdfrac%7Ba%7D%7Bc%7D%2B%5Cdfrac%7Bb%7D%7Bc%7D)
Then,
![\dfrac{41-13i}{25}=\dfrac{41}{25}-\dfrac{13}{25}i](https://tex.z-dn.net/?f=%5Cdfrac%7B41-13i%7D%7B25%7D%3D%5Cdfrac%7B41%7D%7B25%7D-%5Cdfrac%7B13%7D%7B25%7Di)
So,
![a=\dfrac{41}{25}\\\\b=\dfrac{-13}{25}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B41%7D%7B25%7D%5C%5C%5C%5Cb%3D%5Cdfrac%7B-13%7D%7B25%7D)
Thank you.
Answer:
![E(X_n)=\frac{2(n-1)}{27}](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7B2%28n-1%29%7D%7B27%7D)
![E(y)=\frac{14}{9}](https://tex.z-dn.net/?f=E%28y%29%3D%5Cfrac%7B14%7D%7B9%7D)
Step-by-step explanation:
From the question we are told that:
Sample size n=9
Number of Green ![g=4](https://tex.z-dn.net/?f=g%3D4)
Number of yellow ![y=4](https://tex.z-dn.net/?f=y%3D4)
Number of white ![w=4](https://tex.z-dn.net/?f=w%3D4)
Probability of Green Followed by yellow P(GY) ball
![P(GY)=\frac{4}{9}*\frac{3}{9}](https://tex.z-dn.net/?f=P%28GY%29%3D%5Cfrac%7B4%7D%7B9%7D%2A%5Cfrac%7B3%7D%7B9%7D)
![P(GY)=\frac{4}{27}](https://tex.z-dn.net/?f=P%28GY%29%3D%5Cfrac%7B4%7D%7B27%7D)
Generally the equations for when n is even is mathematically given by
![Probability of success P(S)=\frac{4}{27}](https://tex.z-dn.net/?f=Probability%20of%20success%20P%28S%29%3D%5Cfrac%7B4%7D%7B27%7D)
![Probability of Failure P(F)=\frac{27-4}{27}](https://tex.z-dn.net/?f=Probability%20of%20Failure%20P%28F%29%3D%5Cfrac%7B27-4%7D%7B27%7D)
![Probability of Failure P(F)=\frac{23}{27}](https://tex.z-dn.net/?f=Probability%20of%20Failure%20P%28F%29%3D%5Cfrac%7B23%7D%7B27%7D)
Therefore
![E(X_n)=\frac{n}{2}*P](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7Bn%7D%7B2%7D%2AP)
![E(X_n)=\frac{n}{2}*\frac{4}{27}](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7Bn%7D%7B2%7D%2A%5Cfrac%7B4%7D%7B27%7D)
![E(X_n)=\frac{2n}{27}](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7B2n%7D%7B27%7D)
Generally the equations for when n is odd is mathematically given by
![\frac{n-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn-1%7D%7B2%7D)
![E(X_n)=\frac{n-1}{2}*\frac{4}{27}](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7Bn-1%7D%7B2%7D%2A%5Cfrac%7B4%7D%7B27%7D)
![E(X_n)=\frac{2(n-1)}{27}](https://tex.z-dn.net/?f=E%28X_n%29%3D%5Cfrac%7B2%28n-1%29%7D%7B27%7D)
b)
Probability of drawing white ball
![P(w)=\frac{2}{9}](https://tex.z-dn.net/?f=P%28w%29%3D%5Cfrac%7B2%7D%7B9%7D)
Therefore
![E(w)=\frac{1}{p}](https://tex.z-dn.net/?f=E%28w%29%3D%5Cfrac%7B1%7D%7Bp%7D)
![E(w)=\frac{1}{\frac{2}{9}}](https://tex.z-dn.net/?f=E%28w%29%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B9%7D%7D)
![E(w)=\frac{9}{2}](https://tex.z-dn.net/?f=E%28w%29%3D%5Cfrac%7B9%7D%7B2%7D)
Therefore
![E(y)=[E(w)-1]\frac{4}{9}](https://tex.z-dn.net/?f=E%28y%29%3D%5BE%28w%29-1%5D%5Cfrac%7B4%7D%7B9%7D)
![E(y)=[\frac{9}{2}-1]\frac{4}{9}](https://tex.z-dn.net/?f=E%28y%29%3D%5B%5Cfrac%7B9%7D%7B2%7D-1%5D%5Cfrac%7B4%7D%7B9%7D)
![E(y)=\frac{14}{9}](https://tex.z-dn.net/?f=E%28y%29%3D%5Cfrac%7B14%7D%7B9%7D)
Answer:
452 km is 452,000 meters
Step-by-step explanation:
This question can be solved using a rule of three.
1 km is 1000 meters.
How many meters are 452 km?
1km - 1000m
452km - xm
x = 1000*452
x = 452,000
452 km is 452,000 meters