Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is 
Step-by-step explanation:
From the question we are told that
The confidence interval interval is 
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
Generally the margin of error is mathematically represented as
Where K is the length of the confidence interval which iis mathematically represented as
Hence
So the confidence interval can now be represented as
Answer:
<u>-5 ± √5² - 4 · 1 · 4</u>
2 · 1
Step-by-step explanation:
ax²+bx+c=0 (quadratic equation)
x=<u> -b ± √b² - 4ac</u>
2a
a= 1
b= 5
c= 4
-<u>5 ± √5² - 4 · 1 · 4</u>
2 · 1
Answer:
-2 < x < 2
Step-by-step explanation:
Answer:
The definition of a control experiment is a test where the person conducting the test only changes one variable at a time in order to isolate the results. An experiment where all subjects involved in the experiment are treated exactly the same except for one deviation is an example of a control experiment.
Step-by-step explanation:
For rational functions and functions with square roots, the domain can be all real numbers except (1) anything that will make them because the square root of only non-negative values exists and that of negative values does not.
<h3>What are the domain and range of the function?</h3>
The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Let the functions with square roots be f(x) = √x.
The domain of this function is x ≥ 0,
Since the real number system does not exist the square root of negative numbers.
Therefore, For rational functions and functions with square roots, the domain can be all real numbers except (1) anything that will make them because the square root of only non-negative values exists and that of negative values does not.
Learn more about the domain and the range here:
brainly.com/question/21027387
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