The gcf is 3 because that is thier greatest common factor that isn't 1
Answer:
Brownies
18
54
270
Cooldies
16
32
96
384
Step-by-step explanation:
Brownies
simply multiply the 18 by 3 we get 54 and if we multiply 54 by 5 we get 270.
we multiply it by 5 because in series it skip 1 number to multiply next.
Cooldies
first we multiply 16 by 2 we get 32.
next we multiply 32 by 3 we get 96.
and next we multiply 96 by 4 we get 384.
Simply increment in multiplication.
Answer: (0.132132, 0.274368)
Step-by-step explanation:
Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.
i.e. n= 123
![\hat{p}=\dfrac{25}{123}\approx0.203252](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B25%7D%7B123%7D%5Capprox0.203252)
Critical value for 95% confidence interval : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Confidence interval for population :
![\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%7D)
i.e. ![0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}](https://tex.z-dn.net/?f=0.203252%5Cpm%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.203252%281-0.203252%29%7D%7B123%7D%7D)
![0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)](https://tex.z-dn.net/?f=0.203252%5Cpm%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.203252%281-0.203252%29%7D%7B123%7D%7D%5C%5C%5C%5C%5C0.203252%5Cpm0.071118%5C%5C%5C%5C%3D%280.20325-0.071118%2C%5C%200.203252%2B0.071118%29%5C%5C%5C%5C%3D%280.132132%2C%5C%200.274368%29)
Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)