Answer:
The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
Step-by-step explanation:
![\mu = 192](https://tex.z-dn.net/?f=%5Cmu%20%3D%20192)
![\sigma = 31](https://tex.z-dn.net/?f=%5Csigma%20%3D%2031)
No. of passengers = n = 21
We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds
![x = \frac{4432}{21} \sim 211](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4432%7D%7B21%7D%20%5Csim%20211)
![Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5CZ%3D%5Cfrac%7B211-192%7D%7B31%7D)
Z=0.612
refer z table
P(Z<211)=0.7291
P(Z>211)=P(Z>4432)=1-0.7291=0.2709
Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
Answer:
205
Step-by-step explanation:
Answer:
$46,080.00
Step-by-step explanation:
Solve using simple interest formula:
I = 36000(1 + (0.14 × 2)) = 46080
I = $46,080.00
Hope this helps Plss mark brainliesttt thxx
Answer: One
Step-by-step explanation:
Answer:
![m=-\frac{3}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
The given equation is
![\frac{m}{m+1}+\frac{5}{m-1}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bm%7D%7Bm%2B1%7D%2B%5Cfrac%7B5%7D%7Bm-1%7D%3D1)
The Least Common Denominator is
.
We multiply through by the LCD to get;
![(m-1)(m+1)\times \frac{m}{m+1}+(m-1)(m+1)\times\frac{5}{m-1}=(m-1)(m+1)\times1](https://tex.z-dn.net/?f=%28m-1%29%28m%2B1%29%5Ctimes%20%5Cfrac%7Bm%7D%7Bm%2B1%7D%2B%28m-1%29%28m%2B1%29%5Ctimes%5Cfrac%7B5%7D%7Bm-1%7D%3D%28m-1%29%28m%2B1%29%5Ctimes1)
Simplify
![(m-1)\times \frac{m}{1}+(1)(m+1)\times\frac{5}{1}=(m-1)(m+1)\times1](https://tex.z-dn.net/?f=%28m-1%29%5Ctimes%20%5Cfrac%7Bm%7D%7B1%7D%2B%281%29%28m%2B1%29%5Ctimes%5Cfrac%7B5%7D%7B1%7D%3D%28m-1%29%28m%2B1%29%5Ctimes1)
![m(m-1)+5(m+1)=(m-1)(m+1)](https://tex.z-dn.net/?f=m%28m-1%29%2B5%28m%2B1%29%3D%28m-1%29%28m%2B1%29)
Expand;(Use difference of two squares on the right hand side)
![m^2-m+5m+5=m^2-1](https://tex.z-dn.net/?f=m%5E2-m%2B5m%2B5%3Dm%5E2-1)
Group similar terms;
![m^2-m^2-m+5m=-1-5](https://tex.z-dn.net/?f=m%5E2-m%5E2-m%2B5m%3D-1-5)
Simplify;
![4m=-6](https://tex.z-dn.net/?f=4m%3D-6)
Divide through by 4.
![m=\frac{-6}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-6%7D%7B4%7D)
![m=-\frac{3}{2}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B2%7D)