| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
A machine in a factory has an error rate of 5 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?
| 102.6 | |
| 94.1 | |
| 206.8 | |
| 123.8 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{5}{100} \) x 6 = \( \frac{5 \times 6}{100} \) = \( \frac{30}{100} \) = 0.3 errors per hour
So, in an average hour, the machine will produce 6 - 0.3 = 5.7 error free parts.
The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 5.7 = 102.6 error free parts were produced yesterday.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
|
absolute value |
|
greatest common factor |
|
least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
If a mayor is elected with 55% of the votes cast and 49% of a town's 48,000 voters cast a vote, how many votes did the mayor receive?
| 15,053 | |
| 19,757 | |
| 15,758 | |
| 12,936 |
If 49% of the town's 48,000 voters cast ballots the number of votes cast is:
(\( \frac{49}{100} \)) x 48,000 = \( \frac{2,352,000}{100} \) = 23,520
The mayor got 55% of the votes cast which is:
(\( \frac{55}{100} \)) x 23,520 = \( \frac{1,293,600}{100} \) = 12,936 votes.
How many hours does it take a car to travel 200 miles at an average speed of 25 miles per hour?
| 1 hour | |
| 8 hours | |
| 9 hours | |
| 3 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{200mi}{25mph} \)
8 hours
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = b |
|
b1 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).