Simplify= 4r+3
Because 8r plus -4r which is 4r and then 3 can’t be simplified so u keep it the same
Then the answer if r=5 is 23
Because the equation looks like 4(5)+3
5 times 4 is 20 plus 3 is 23
Answer: . a. 36.08 to 78.80
Step-by-step explanation:
The confidence interval for population standard deviation is given by :-
![\sqrt{\dfrac{(n-1)s^2}{\chi_{\alpha/2}}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi_%7B%5Calpha%2F2%7D%7D%7D%3C%5Csigma%5Csqrt%7B%5Cdfrac%7B%28n-1%29s%5E2%7D%7B%5Cchi_%7B1-%5Calpha%2F2%7D%7D%7D)
Given : Sample size = ![n=24](https://tex.z-dn.net/?f=n%3D24)
Significance level : ![\alpha:1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3A1-0.99%3D0.01)
Using the chi-square distribution table , the critical values would be :-
![\chi_{n-1,\alpha/2}=\chi_{23, 0.005}=44.18127525](https://tex.z-dn.net/?f=%5Cchi_%7Bn-1%2C%5Calpha%2F2%7D%3D%5Cchi_%7B23%2C%200.005%7D%3D44.18127525)
![\chi_{n-1,1-\alpha/2}=\chi_{23, 0.995}=9.26042478](https://tex.z-dn.net/?f=%5Cchi_%7Bn-1%2C1-%5Calpha%2F2%7D%3D%5Cchi_%7B23%2C%200.995%7D%3D9.26042478)
Then , a 99% confidence interval for the population standard deviation will be :-
![\sqrt{\dfrac{(23)(50)^2}{44.18127525}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B%2823%29%2850%29%5E2%7D%7B44.18127525%7D%7D%3C%5Csigma%5Csqrt%7B%5Cdfrac%7B%2823%29%2850%29%5E2%7D%7B9.26042478%7D%7D%5C%5C%5C%5C%3D36.075702658%3C%5Csigma%3C78.7985939401%5C%5C%5C%5C%5Capprox36.08%3C%5Csigma%3C78.80)
Answer:
141 3/4 in^2
Step-by-step explanation:
3 1/9= 28/9
28/9*27/4=21
length=21
21*27/4= 141 3/4
Answer:
Step-by-step explanation:
53+26+15=94
94-100=6
So I'm just gonna assume that 6% of people prefer to watch soccer.
Now to solve how many people out of 1000 would watch soccer we'd have to multiply 1000 by 0.09 which gives us 90.
So 90 people out of 1000 would prefer to watch soccer.
Answer:
44.2
Step-by-step explanation: