| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
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 7 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 94.9 | |
| 128 | |
| 121 | |
| 122.2 |
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 - 7 = 17 hours yesterday so you would expect that 17 x 5.58 = 94.9 error free parts were produced yesterday.
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
|
least common multiple |
|
absolute value |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Jennifer scored 95% on her final exam. If each question was worth 2 points and there were 120 possible points on the exam, how many questions did Jennifer answer correctly?
| 48 | |
| 61 | |
| 42 | |
| 57 |
Jennifer scored 95% on the test meaning she earned 95% of the possible points on the test. There were 120 possible points on the test so she earned 120 x 0.95 = 114 points. Each question is worth 2 points so she got \( \frac{114}{2} \) = 57 questions right.
| 0.4 | |
| 1 | |
| 9.0 | |
| 4.5 |
1
Monty loaned Diane $1,000 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?
| $1,070 | |
| $1,060 | |
| $1,010 | |
| $1,080 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,000
i = 0.01 x $1,000
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $1,000 + $10