What are the parentheses doing in this sentence? Javier (in spite of his reservations) decided to go to the house party. Choose
1 answer:
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Answer:
a)
And the margin of error is given by:
The confidence level is 0.96 and the significance level is and the value of
and the margin of error is given by:
We can calculate the critical value and we got:
And if we solve for the deviation like this:
And replacing we got:
b)
And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=80 represent the sample size
Solution to the problem
Part a
The confidence interval for the mean is given by the following formula:
(1)
For this case we can calculate the mean like this:
And the margin of error is given by:
The confidence level is 0.96 and the significance level is and the value of
and the margin of error is given by:
We can calculate the critical value and we got:
And if we solve for the deviation like this:
And replacing we got:
Part b
For this case is the sample size is doubled the margin of error would be:
And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor
Answer:
See below.
Step-by-step explanation:
1)
So we have the equation:
To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:
The left side cancels:
Now, divide both sides by 3. The left side cancels:
The slope-intercept form is:
Where m is the slope and b is the y-intercept.
Thus, the slope is -2/3 and the y-intercept is 490.
2)
So, since we already know the y-intercept is 490, plot a point at (0,490).
The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.
3)
To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.
This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.
For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.
4)
Please refer to the attached graph.
5)
First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.
