A parking garage charges an initial fee of $4.00 for every car that enters the garage and then $9.00 for each hour thereafter. After tax, which is 8%, and assuming the car is in the garage for x hours, how much will be due when the car leaves the garage?
Explain the content of the Missouri Compromise of 1820 and how it affected the relations between the North and the South.
The Missouri Compromise was just that: a compromise between the Northern free states and the Southern slave-holding states made necessary by the expansion of the United States to the west. When Missouri applied for statehood, Northerners would not accept another slaveholding state into the union because they did not want the precarious balance of free and slaveholding representation in Congress to fall to the side of the slaveholders. In the same way, the Southerners in Congress would not allow Missouri to be incorporated as a free state because that would give the Northerners more power in Congress. To solve this problem, Congress accepted Missouri as a slave state at the same time they accepted Maine as a free state in order to keep the balance. At the same time, they created the Missouri Compromise Line, which was intended to solve future problems in expansion. This line stretched from the southern border of Missouri across the Louisiana Purchase, dividing the Northern free territories from the Southern slaveholding territories. This Compromise created a tangible divide between the North and South, and was representative of the issues that would continue to come up in the following decades, eventually leading to the secession of the South and the Civil War.
How would you determine the mean and median of a data set? What does it mean about the data if the mean is higher than the median? And if they are the same?
To calculate the mean (also called the average), add up all of the numbers in the data set and divide by the number of data points in the set. To get the median, arrange the numbers in increasing order and, if there is an odd number of data points, the median is the middle number, and if there is an even number of data points, the median is the average of the middle two numbers. The relationship of the mean to the median tells us about the skew of the data set. If the mean is higher than the median, the set is skewed to the right. If the mean and median are the same, there is no skew, and if the median is higher than the mean, the set is skewed left.