| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.90 |
| Score | 0% | 78% |
4! = ?
5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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.
If a car travels 585 miles in 9 hours, what is the average speed?
| 65 mph | |
| 75 mph | |
| 50 mph | |
| 15 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solve for \( \frac{3!}{4!} \)
| \( \frac{1}{6720} \) | |
| \( \frac{1}{15120} \) | |
| \( \frac{1}{4} \) | |
| 42 |
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:
\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)
13 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 2 | |
| 1 | |
| 9 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
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mixed number |
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fraction |
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integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.