You already have one of the two answer(s) selected... (C). The other answer is E, because (27/9) = 3, then you add x. As letter C, the answer is 3x.
Trapezoid has only 1 pair of parallel
Answer:
a) P(X>825)
b) This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.
Step-by-step explanation:
We know a priori that 60% of the eligible voters did vote.
From this proportion and a sample size n=1309, we can construct a normal distribution probabilty, that is the approximation of the binomial distribution for large samples.
Its mean and standard deviation are:
![\mu=n\cdot p=1309\cdot 0.6=785.4\\\\\sigma =\sqrt{np(1-p)}=\sqrt{1309\cdot 0.6\cdot 0.4}=\sqrt{314.16}=17.7](https://tex.z-dn.net/?f=%5Cmu%3Dn%5Ccdot%20p%3D1309%5Ccdot%200.6%3D785.4%5C%5C%5C%5C%5Csigma%20%3D%5Csqrt%7Bnp%281-p%29%7D%3D%5Csqrt%7B1309%5Ccdot%200.6%5Ccdot%200.4%7D%3D%5Csqrt%7B314.16%7D%3D17.7)
Now, we have to calculate the probabilty that, in the sample of 1309 voters, at least 825 actually did vote. This is P(X>825).
This can be calculated using the z-score for X=825 for the sampling distribution we calculated prerviously:
![z=\dfrac{X-\mu}{\sigma}=\dfrac{825-785.4}{17.7}=\dfrac{39.6}{17.7}=2.24\\\\\\P(X>825)=P(z>2.24)=0.0126](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3D%5Cdfrac%7B825-785.4%7D%7B17.7%7D%3D%5Cdfrac%7B39.6%7D%7B17.7%7D%3D2.24%5C%5C%5C%5C%5C%5CP%28X%3E825%29%3DP%28z%3E2.24%29%3D0.0126)
This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.
<u>Question</u>:
A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.
<u>Given:</u>
The height of the rectangle is 4.
The width of the rectangle is ![x^2+3x+2](https://tex.z-dn.net/?f=x%5E2%2B3x%2B2)
We need to determine the area of the entire rectangle.
<u>Area of the entire rectangle:</u>
Let us determine the area of the entire rectangle.
The area of the rectangle can be determined using the formula,
![A=height \times width](https://tex.z-dn.net/?f=A%3Dheight%20%5Ctimes%20width)
Substituting height = 4 and width = ![x^2+3x+2](https://tex.z-dn.net/?f=x%5E2%2B3x%2B2)
Thus, we get;
![A=4(x^2+3x+2)](https://tex.z-dn.net/?f=A%3D4%28x%5E2%2B3x%2B2%29)
Multiplying the terms by 4, we get;
![A=4x^2+12x+8](https://tex.z-dn.net/?f=A%3D4x%5E2%2B12x%2B8)
Thus, the area of the entire rectangle is ![4 x^{2}+12 x+8](https://tex.z-dn.net/?f=4%20x%5E%7B2%7D%2B12%20x%2B8)