The 95% confidence interval of voters not favoring the incumbent is (0.0706, 0.1294).
Sample size, n=400
Sample proportion, p = 40 / 400
= 0.1
We use normal approximation, for this, we check that both np and n(1-p) >5.
Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation = root( p * (1-p) /n )
= 0.015
For constructing Confidence interval,
Margin of Error (ME) = z x SD = 0.0294
95% confidence interval is given by Sample Mean +/- (Margin of Error)
0.1 +/- 0.0294 = (0.0706 , 0.1294)
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Answer:
v
Step-by-step explanation:
Answer:
D. 5
Step-by-step explanation:
The congruence of S'T' with ST tells you ...
9 = x +7
2 = x
The congruence of S'U' and SU tells you ...
4x = y +3
4·2 -3 = y = 5 . . . . substitute the value of x; subtract 3
Answer:
D
Step-by-step explanation:
Interesting question. The wording is a bit awkward. I think you have to assume the base is a square and each succeeding base is also a square.
So the first thing to do is to add the bases together.
30*30 + 23*23 + 16*16 + 9*9
Don't add these -- not yet.
Now take the height into consideration
6 *(30*30 + 23*23 + 16*16 + 9*9)
The point is that you only have to multiply by 6 once.
6*(900 + 529 + 256 + 81)
6*(1766)
10596 cubic inches
The answer is D
No because root(3)(x+8+1) is equal to x^3 -9 and (x-1)^3+8 is equal to root (3)(√x−8−1)