The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below ze
2 answers:
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Answer:
The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
<em>n</em> = 596
<em>p </em>= 0.09
As the sample size is quite large, i.e. <em>n</em> = 596 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:
Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.
Given:
The system of equations is
To find:
The solution of the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
We have,
...(i)
...(ii)
Rewritten the given equation in slope intercept forms.
In equation (i), divide both sides by 3.
Slope of this line is and y-intercept is 2.
In equation (ii), multiply both sides by 2 and isolate y variable.
Slope of this line is and y-intercept is 6.
Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.
Therefore, the correct option is c.