Why should you find the least common denominator when adding or subtracting rational expressions?
1 answer:
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Answer:
n=206
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=206
The x - intercept is and y - intercept is (0, 5)
Given that : 3x + y = 5
<em><u>To find: x - intercept and y -intercept</u></em>
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x
3x + 0 = 5
3x = 5
Therefore the x - intercept is
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y
3(0) + y = 5
y = 5
Therefore y - intercept is (0, 5)