Answer:
[ 0.4964, 0.5836 ]
Step-by-step explanation:
Data provided in the question:
Total sample size = 500
person voting for smith = 270
thus,
P( person voting for smith ), p =
= 0.54
Confidence level = 95%
now,
standard error, SE = 
or
SE = 
or
SE = 0.0223
now,
Confidence interval = p ± ( z × SE )
here,
z value for 95% confidence interval is 1.96
Confidence interval = [ 0.54 - ( 1.96 × 0.0223 ), 0.54 + ( 1.96 × 0.0223 ) ]
= [ 0.54 - 0.0436 , 0.54 + 0.0436 ]
= [ 0.4964, 0.5836 ]
Week 24,assuming that both machines are cleaned at week 0, because multiples of 12 are 12, 24,36. And multiples of 8 are 8, 16, 24. 24 is also the LCM.
Answer:
![\huge\boxed{\sqrt[3]{c^4}=c^\frac{4}{3}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csqrt%5B3%5D%7Bc%5E4%7D%3Dc%5E%5Cfrac%7B4%7D%7B3%7D%7D)
Step-by-step explanation:
![\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\text{therefore}\\\\\sqrt[3]{c^4}=c^\frac{4}{3}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%5Cfrac%7Bm%7D%7Bn%7D%5C%5C%5C%5C%5Ctext%7Btherefore%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7Bc%5E4%7D%3Dc%5E%5Cfrac%7B4%7D%7B3%7D)