"the candle is 17 inches tall after 3 hours" then it says " after 5 hours it is 15 inches tall"
-assuming that they mean that after 2 additional hours (from 3-5), the candle is now 2 inches shorter than before, a unit of decreasing value can be determined in this case the candle is "shortening" at a rate of 1 inch/per hour. If we write this in equation form it looks like this I think: h = h-t ...... right ? so then: h = 20 - 8 , h = 12 inches after 8 hours.
20 inches is the original height of the candle before any was burnt that I calculated using the same equation - What do you think of my answer.
Answer:
The probability of getting two or more defectives in a sample of 200 items
0.3233
Step-by-step explanation:
<u>step1</u>:-
The probability of getting 1 percentage defective items is
P(D) = ![\frac{1}{100} =0.01](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D%20%3D0.01)
Given total number of items is n=200
use the Poisson approximation to the binomial distribution that is
λ=np=200(0.01)=2
by using Poisson distribution P(X=r)=![e^-λ (λ^ r)](https://tex.z-dn.net/?f=e%5E-%CE%BB%20%28%CE%BB%5E%20r%29)
<u>Step2:-</u>
The probability of getting two or more defectives items
![P(x\geq 2)=1-{P(x\leq 2)](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%7BP%28x%5Cleq%202%29)
![P(x\geq 2)=1-{P(x=0)+P(x=1)+P(x=2)]](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%7BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%5D)
using Poisson distribution
![P(x\geq 2)=1-[{e^{-2} \frac{2^{0} }{0!} } +e^{-2} \frac{2^{1} }{1!} +e^{-2} \frac{2^{2} }{2!} ]](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%5B%7Be%5E%7B-2%7D%20%5Cfrac%7B2%5E%7B0%7D%20%7D%7B0%21%7D%20%7D%20%2Be%5E%7B-2%7D%20%5Cfrac%7B2%5E%7B1%7D%20%7D%7B1%21%7D%20%2Be%5E%7B-2%7D%20%5Cfrac%7B2%5E%7B2%7D%20%7D%7B2%21%7D%20%5D)
on simplification, we get
![P(x\geq 2)=1-({e^{-2})(1+2+2)](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%28%7Be%5E%7B-2%7D%29%281%2B2%2B2%29)
![P(x\geq 2)=1-({e^{-2})5](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%28%7Be%5E%7B-2%7D%295)
by using calculator e^-2 value is 0.13533
![P(x\geq 2)=1-({0.13533)X5](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-%28%7B0.13533%29X5)
after simplification
![P(x\geq 2)=1-0.676676](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D1-0.676676)
![P(x\geq 2)= 0.3233](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D%200.3233)
Final answer:-
The probability of getting two or more defectives in a sample of 200 items
0.3233
Answer:
![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
Step-by-step explanation:
because in a quadratic, there is a exponent 2, 1, and 0
Answer:
14
Step-by-step explanation:
2+5=7
7 times 2= 14