Answer: 7881
Step-by-step explanation:
Given : A certain type of light bulb has an average life of 900 hours, with a standard deviation of 100 hours.
i.e. ![\mu=900\ ;\ \sigma=100](https://tex.z-dn.net/?f=%5Cmu%3D900%5C%20%3B%5C%20%5Csigma%3D100)
Let x be the random variable that represents the length of life of the bulb .
Now , we find the z-score for this :
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x=820
![z=\dfrac{820-900}{100}=-0.8](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B820-900%7D%7B100%7D%3D-0.8)
Now, the probability that the length of life of the bulb is more than 820 hours is given by :-
![P(x>820)=P(z>-0.8)=1-P(z](https://tex.z-dn.net/?f=P%28x%3E820%29%3DP%28z%3E-0.8%29%3D1-P%28z%3C-0.8%29)
![1- 0.2118554=0.7881446](https://tex.z-dn.net/?f=1-%200.2118554%3D0.7881446)
Now, the number of bulbs installed in amusement park =10,000
Then , the number that can be expected to last more than 820 hours :-
![0.7881446\times10000=7881.446\approx7881](https://tex.z-dn.net/?f=0.7881446%5Ctimes10000%3D7881.446%5Capprox7881)
Answer:
2239
Step-by-step explanation:
Given-
Percent of peopl polling yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
%
Margin error in the poll
%
Confidence Interval
%
The alpha value is ![1 -0.95 =0.05](https://tex.z-dn.net/?f=1%20-0.95%20%3D0.05)
The
for Confidence Interval of
% ![= 0.196](https://tex.z-dn.net/?f=%3D%200.196)
The sample size is given by
![n = p*q*(\frac{z}{e} )^2](https://tex.z-dn.net/?f=n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2)
Where,
![p = \frac{37}{100} = 0.37 q = 100-0.37 = 0.63 e =2/100 = 0.02 z = 1.96 (critical value)n = p*q*(\frac{z}{e} )^2 = 0.37 * 0.63(\frac{1.96}{0.02} )^2 \\n = 2238.69\\n= 2239](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B37%7D%7B100%7D%20%20%3D%200.37%20q%20%3D%20100-0.37%20%3D%200.63%20e%20%3D2%2F100%20%3D%200.02%20z%20%3D%201.96%20%28critical%20value%29n%20%3D%20p%2Aq%2A%28%5Cfrac%7Bz%7D%7Be%7D%20%29%5E2%20%3D%200.37%20%2A%200.63%28%5Cfrac%7B1.96%7D%7B0.02%7D%20%29%5E2%20%5C%5Cn%20%3D%202238.69%5C%5Cn%3D%202239)
Answer:
AS U BEING MY FRIEND I WILL WARN ABOUT MY HUMAN BEING IN THE TELESCOPE. BUT WHAT I REALLY NEED TO TALK TO U ABOUT IS THE FLYING SAUSAGE INCIDENT I DON’T THINK I TALKED TO U ABOUT THIS BUT U REALLY SHOULD KNOW THAT I AM SECRETLY A FLYING SAUSAGE NOT ONLY AM I A FLYING SAUSAGE BUT I AM THE FLYING SAUSAGE THAT TOOK THE WALKING CHEESEBURGERS PICKLES. I NEED UR HELP TO ESCAPE THE POLICE MEN BECAUSE THE ONLY REASON I STOLE HIS PICKLES WAS BECAUSE I WAS GOING THROUGH THIS THING WHERE ALL I WANTED TO DO WAS EAT PICKLES AND MY MOM WOULDN’T BUY ANY. I HAD NO MONEY SO I DIDN’T KNOW WHAT ELSE TO DO. I WALKED OVER TO THE CHEESEURGER AND TOOK HIS PICKLES. APPARENTLY THATS AGAINST THE LAW BUT I STILL DID IT. I ALREADY ATE THE PICKLES SO I CAN’T RETURN THEM. I ASKED BOBBYJO TO PUT ME IN A BOX AND SEND ME TO NORTH CAROLINA SO I AM NOW IN NEW ENGLAND I NEED U TO GO ON A SECRET MISSION AND GO BUY ME A PRIVATE JET U SEE I CAN NOT FLY ANYMORE SO I NEED SOMEONE TO SEND ME A PRIVATE JET NOT A AIRPLANE I ALREADY HAVE 2,345 AIRPLANES PLEASE DO NOT SEND ME AN AIRPLANE.PLEASE AND THANK YOU I HOPE U CAN COMPLETE MY MISS
I figured you didnt need help on this anymore so im just here for the free points.
Let's say b equals 2
2^4=16
16*2= 32
This is what I could make of the question
Answer:
61.2
Step-by-step explanation: