| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
What is the distance in miles of a trip that takes 1 hour at an average speed of 55 miles per hour?
| 55 miles | |
| 260 miles | |
| 140 miles | |
| 200 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 1h \)
55 miles
Which of these numbers is a factor of 16?
| 17 | |
| 15 | |
| 13 | |
| 16 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 16 are 1, 2, 4, 8, 16.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = -7 |
|
a = 7 |
|
none of these is correct |
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).
Find the average of the following numbers: 15, 9, 14, 10.
| 17 | |
| 9 | |
| 16 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{15 + 9 + 14 + 10}{4} \) = \( \frac{48}{4} \) = 12
Solve for \( \frac{4!}{2!} \)
| 56 | |
| \( \frac{1}{7} \) | |
| \( \frac{1}{30} \) | |
| 12 |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12