| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
11 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 44 | |
| 2 | |
| 41 | |
| 1 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 11 people needing transportation leaving 11 - 9 = 2 who will have to find other transportation.
Simplify \( \sqrt{75} \)
| 5\( \sqrt{3} \) | |
| 4\( \sqrt{6} \) | |
| 6\( \sqrt{6} \) | |
| 7\( \sqrt{6} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
none of these is correct |
|
a = 7 or a = -7 |
|
a = 7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
If there were a total of 200 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?
| 4% | |
| 5% | |
| 1% | |
| 8% |
You have 8 out of the total of 200 raffle tickets sold so you have a (\( \frac{8}{200} \)) x 100 = \( \frac{8 \times 100}{200} \) = \( \frac{800}{200} \) = 4% chance to win the raffle.
A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 3 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 150.7 | |
| 163 | |
| 92.1 | |
| 119.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{3}{100} \) x 8 = \( \frac{3 \times 8}{100} \) = \( \frac{24}{100} \) = 0.24 errors per hour
So, in an average hour, the machine will produce 8 - 0.24 = 7.76 error free parts.
The machine ran for 24 - 3 = 21 hours yesterday so you would expect that 21 x 7.76 = 163 error free parts were produced yesterday.