| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
least common factor |
|
absolute value |
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greatest 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 7 parts per 100. The machine normally runs 24 hours a day and produces 6 parts per hour. Yesterday the machine was shut down for 4 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 93 | |
| 111.6 | |
| 100 | |
| 132.5 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{7}{100} \) x 6 = \( \frac{7 \times 6}{100} \) = \( \frac{42}{100} \) = 0.42 errors per hour
So, in an average hour, the machine will produce 6 - 0.42 = 5.58 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 5.58 = 111.6 error free parts were produced yesterday.
April scored 76% on her final exam. If each question was worth 3 points and there were 240 possible points on the exam, how many questions did April answer correctly?
| 64 | |
| 66 | |
| 61 | |
| 52 |
April scored 76% on the test meaning she earned 76% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.76 = 183 points. Each question is worth 3 points so she got \( \frac{183}{3} \) = 61 questions right.
| 0.6 | |
| 7.2 | |
| 3.2 | |
| 1 |
1
4! = ?
4 x 3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
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4 x 3 |
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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.