Part A:
Given that in a sample of 400 registered voters, 204 were democrats, i.e. n = 400, <span>

</span>The 95% confidence interval for the proportion of registered democrats voters in the population is given by:

Part B:
Given that t<span>here
are 169 million registered voters in the US, the interval for
the number of registered democrats in the population is given by
[0.461(169,000,000), 0.559(169,000,000)] = (77,909,000, 94,471,000)
</span>
Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
14/4 > 1 is what it looks like.