The shaded region is inside set , so we are looking for a President who was born after 1850; this eliminates Lincoln.

The region is outside of , so we want a President who served fewer than eight years. This eliminates Wilson and Reagan.

The region is outside of , so we want the state of the President's birth to be fully or partly east of the Mississippi River. This eliminates Nixon.

The correct response is Harding.

The symbol  stands for the union between two sets.  Therefore,  means the set of all numbers that are in either A or B.  Looking at our choices, the only number that isn't in either A, B, or both is 23.

The notation  stands for "union," which refers to everything that is in either set.  refers to the group of students taking either Calculus or Spanish (everyone on this diagram except those taking only Biology). From the diagram, Patrick and Ashley are the only students taking neither Calculus nor Spanish, so Patrick is the correct answer.

The notation  stands for "A union C," which refers to everything that is in either set  or set .

When we add the numbers together, we get:

In 1900, the population was about 3,500; in 1950, it was about 5,600. A reasonable estimate of the percent of increase would be 

so 60% would be the most reasonable choice.

If the radius of each quarter-circle is  , the black region has area

Set   and solve for :

The area of the rectangle, which we will call  , is 

The area of the white region is the difference of these two areas, or 

Since we are dealing with the day after the last one shown, and we are comparing that day's high temperature to those of the previous five days, we only need to concern ourselves with the high temperatures for Tuesday through Saturday. 

Examine the figure below, which shows the high temperature line for those five days. 

For the high temperature for the next Sunday to be greater than exactly four of the five and less than the remaining one, the temperature must be strictly between the highest and second-highest high temperatures, which are seen to be 78 and 74 degrees, respectively. That is, if we let  be the temperature in degrees, 

Of the four choices, only 75 falls in this range.

The graph is recreated in the figure below, with horizontal lines at the 57, 62, 67, and 72 degree levels.

It can be seen that of the four lines, only the 62 degree line falls between the high temperature and low temperature for each of the seven days. This is the correct choice.

As can be seen below, the lowest temperature for the week was , on Monday.

To convert this to degrees Celsius, set  and substitute in the given formula:

 degrees Celsius. The closest choice is .

As can be seen below, the highest temperature for the week was , on Tuesday; the low temperature, , on Monday.

To convert the former to degrees Celsius, set  and substitute in the given formula:

.

To convert the latter, do the same, with .

.

The difference is

 , which rounds to .