Answer: 0.1854
Step-by-step explanation:
Given : Suppose that a particular candidate for public office is in fact favored by 48% of all registered voters in the district.
Let 
be the sample proportion of voters in the district favored a particular candidate for public office .
A polling organization will take a random sample of n=500 voters .
Then, the probability that p will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election :
![P(\hat{p}>0.5)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.5-0.48}{\sqrt{\dfrac{0.48(0.52)}{500}}})\\\\=P(z>0.8951)\ \ [\because\ z=(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(z\leq0.8951)\ \ [\because\ P(Z>z)=1-P(Z\leq z)]\\\\ = 1-0.8146=0.1854](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3E0.5%29%3DP%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%3E%5Cdfrac%7B0.5-0.48%7D%7B%5Csqrt%7B%5Cdfrac%7B0.48%280.52%29%7D%7B500%7D%7D%7D%29%5C%5C%5C%5C%3DP%28z%3E0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%28%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D%5C%5C%5C%5C%3D1-P%28z%5Cleq0.8951%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%20%3D%201-0.8146%3D0.1854)
∴ Required probability = 0.1854
First one.
Its a straight line with a slope of 6.
A line with a slope of 6 has a form of:
So when 
, 
becomes 
and so on.
Hope this helps.
I believe the correct answer is B
Answer:
er
Step-by-step explanation:
Given that t<span>he total weight w in pounds of a tractor trailer capable of carrying 8 cars depends on the number of cars c on the trailer and that the situation is represented by the function rule w = 37,000 + 4,200c
To graph the function, we draw the coordinate axis with the number of cars in the horizontal (x) axis and the weight of the truck (in thousands) in the vertical (y) axis.
The horizontal axis is calibrated starting from 0 with increment of 1 and the vertical axis is calibrated starting from 0 with the increment of 5.
From the given function rule, when c = 0 (i.e. when the truck is carrying no car) the weight of the truck is given by w = 37,000 + 4,200(0) = 37,000
Thus, the graph will start at point (0, 37).
Also when the truck is carrying 8 cars, the weight of the truck is given by w = 37,000 + 4,200(8) = 70,600
Thus, the graph will end at point (8, 70.6).
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