| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
4! = ?
5 x 4 x 3 x 2 x 1 |
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4 x 3 x 2 x 1 |
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3 x 2 x 1 |
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4 x 3 |
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.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
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absolute value |
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greatest common factor |
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least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 6 parts per hour. Yesterday the machine was shut down for 6 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 98.3 | |
| 193.2 | |
| 136.5 | |
| 86.5 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 6 = \( \frac{9 \times 6}{100} \) = \( \frac{54}{100} \) = 0.54 errors per hour
So, in an average hour, the machine will produce 6 - 0.54 = 5.46 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 5.46 = 98.3 error free parts were produced yesterday.
Which of the following is not an integer?
-1 |
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\({1 \over 2}\) |
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1 |
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0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is \( \frac{8\sqrt{49}}{4\sqrt{7}} \)?
| 2 \( \sqrt{7} \) | |
| 7 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{7} \) | |
| \(\frac{1}{7}\) \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{8\sqrt{49}}{4\sqrt{7}} \)
\( \frac{8}{4} \) \( \sqrt{\frac{49}{7}} \)
2 \( \sqrt{7} \)