| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
A machine in a factory has an error rate of 6 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?
| 112.8 | |
| 125.5 | |
| 144.1 | |
| 125.1 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{6}{100} \) x 6 = \( \frac{6 \times 6}{100} \) = \( \frac{36}{100} \) = 0.36 errors per hour
So, in an average hour, the machine will produce 6 - 0.36 = 5.64 error free parts.
The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 5.64 = 112.8 error free parts were produced yesterday.
A tiger in a zoo has consumed 35 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 65 pounds?
| 9 | |
| 6 | |
| 4 | |
| 10 |
If the tiger has consumed 35 pounds of food in 7 days that's \( \frac{35}{7} \) = 5 pounds of food per day. The tiger needs to consume 65 - 35 = 30 more pounds of food to reach 65 pounds total. At 5 pounds of food per day that's \( \frac{30}{5} \) = 6 more days.
What is (x5)3?
| x15 | |
| 5x3 | |
| x8 | |
| x-2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x5)317 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 6 | |
| 1 | |
| 2 | |
| 3 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 17 people needing transportation leaving 17 - 15 = 2 who will have to find other transportation.
If the ratio of home fans to visiting fans in a crowd is 3:1 and all 31,000 seats in a stadium are filled, how many home fans are in attendance?
| 23,250 | |
| 27,200 | |
| 30,000 | |
| 28,667 |
A ratio of 3:1 means that there are 3 home fans for every one visiting fan. So, of every 4 fans, 3 are home fans and \( \frac{3}{4} \) of every fan in the stadium is a home fan:
31,000 fans x \( \frac{3}{4} \) = \( \frac{93000}{4} \) = 23,250 fans.