| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A triathlon course includes a 300m swim, a 20.5km bike ride, and a 13.600000000000001km run. What is the total length of the race course?
| 62.3km | |
| 34.4km | |
| 46.1km | |
| 53.8km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.3km + 20.5km + 13.600000000000001km
total distance = 34.4km
Which of these numbers is a factor of 32?
| 20 | |
| 1 | |
| 3 | |
| 17 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.
If there were a total of 100 raffle tickets sold and you bought 7 tickets, what's the probability that you'll win the raffle?
| 14% | |
| 4% | |
| 7% | |
| 18% |
You have 7 out of the total of 100 raffle tickets sold so you have a (\( \frac{7}{100} \)) x 100 = \( \frac{7 \times 100}{100} \) = \( \frac{700}{100} \) = 7% chance to win the raffle.
Solve for \( \frac{4!}{2!} \)
| 12 | |
| 6720 | |
| \( \frac{1}{60480} \) | |
| \( \frac{1}{210} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12
Convert x-3 to remove the negative exponent.
| \( \frac{-1}{-3x} \) | |
| \( \frac{1}{x^3} \) | |
| \( \frac{-1}{x^{-3}} \) | |
| \( \frac{1}{x^{-3}} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.