To find the average of these 4 numbers add them together then divide by 4:

\( \frac{12 + 8 + 14 + 6}{4} \) = \( \frac{40}{4} \) = 10

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{7 x 5}{9 x 5} \) + \( \frac{8 x 3}{15 x 3} \)

\( \frac{35}{45} \) + \( \frac{24}{45} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{35 + 24}{45} \) = \( \frac{59}{45} \) = 1\(\frac{14}{45}\)

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 5h \)
325 miles