To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction.  For our problem, this means that you will multiply  by , getting .  Next, you add this to the numerator of your fraction, giving you , or .  Finally, you place this over your original denominator, giving you: 

To find an improper fraction, you need to multiply the whole number that you have by the denominator of the associated fraction.  For our problem, this means that you will multiply  by , getting .  Next, you add this to the numerator of your fraction, giving you , or .  Finally, you place this over your original denominator, giving you: 

The arithmetic mean of a set is defined as the sum of terms in the set divided by the number of terms of a set. Therefore, the mean for this problem can be found as:

There are  slips of paper that have a number divisible by , which are . 

The probability of one being drawn is . Once that slip is drawn, the probability of drawing a number divisible by  becomes , and on the third draw it is .

For this sequence of events to happen, the probability is the product of the three separate probabilities:

Both of these sundae options are dealing with combinations, i.e. the order the scoops are chosen does not matter, and so the amount of possible combos is given by the formula:

Where  is the total number of options and  is the size of the combination created.

For the Triple Trouble, the total amount of possible sundaes is:

And for the Fearsome Four:

It is important to realize that this problem deals with combinations, rather than permutations; the order the shirts are drawn does not matter. That being said, the formula for a combination is given as:

Where  is the total number of options and  is the size of the combination created.

Quantity A:

Quantity B:

To solve this problem, you may find the total distance traveled and divide that by the total time taken.  The distance traveled in miles is:

Since the trip took  hours in total, Ron's average speed in miles per hour is:

The average, or arithmetic mean, of a set can be found by dividing the sum of the set by the amount of values in the set:

The median for a set depends on if there's an even or odd number of values in the set.

For an odd number of values in a set that is arranged in numerical order, , the median is given as the middle value, .

For an even number of values in a set that is again arranged in numerical order, ,there is no value exactly in the middle; rather there are two. The median is then given as the average of these two values:

Rearranging the set into numerical order gives , thus the median is 

First solve for z by multiplying 2/7 by the reciprocal of 4/13. 

Then multiply this number by 8/11 to find the solution.

In setting up the problem, notice how “of” means to multiply z by 4/13 and “is” means to set (4/13)z equal to 2/7.

If 3 senior men = 30% * All Men →

All Men = 3/30% = 10 Men. 

The Ratio Men : Women = 5 : 3 = 10 : 6.

Thus there are 6 Women. 6 + 10 = 16.