Answer:
Step-by-step explanation:
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)
Learn more about Margin of Error here brainly.com/question/15691460
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Answer:
1. -4x^2 + 5x + 3
2. x^3 + 9x + 5
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
1) the rule of transformation [degr → rad] is:
![\alpha [rad]=\alpha [degr] *\frac{\pi }{180};](https://tex.z-dn.net/?f=%5Calpha%20%5Brad%5D%3D%5Calpha%20%5Bdegr%5D%20%2A%5Cfrac%7B%5Cpi%20%7D%7B180%7D%3B)
2) according to the formula above:
230°=230*π/180=23π/18 [rad].
Part A: B)35
As the angle y° equals to angle 2x°, y=2x.
And the sum of the angle (x+y+5°)and the angle 2x° is 180°.Therefore,
x+y+5°+2x =180°
x+2x+5°+2x=180°
5x+5° =180°
5x =175°
x =35°
Part B: C)110°
As I said, y =2x
And the unlabled angle eaquals to the angle(x+y+5°).
Therefore,
the unabled angle= x+y+5°
=x+2x+5°
=3x+5°
=3(35°)+5°
=110°
