A rental car cost $25 plus a fixed charge per mile driven. The total charge for 210 miles of use was $67. Write an equation for
1 answer:
To start, we know the basic equation from what us given:
And we want to find m. Fortunately, we have some numbers to plug in to find m. We can make an equation like this
by taking the amount charged and the amount of miles driven to get that charge given in the original problem.
Now we solve.
Now we can put that in our equation to finish it.
And that is the final equation
And we want to find m. Fortunately, we have some numbers to plug in to find m. We can make an equation like this
by taking the amount charged and the amount of miles driven to get that charge given in the original problem.
Now we solve.
Now we can put that in our equation to finish it.
And that is the final equation
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Answer:
The lenght of the interval correspond to:
And since we know the margin of error we can find the limits for the confidence interval:
Step-by-step explanation:
Previous concepts
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".
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
Assuming the X follows a normal distribution
The sample mean is distributed on this way:
The confidence interval on this case is given by:
(1)
The margin of error is given by:
The lenght of the interval correspond to:
And since we know the margin of error we can find the limits for the confidence interval: