| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
A triathlon course includes a 500m swim, a 50.1km bike ride, and a 13.3km run. What is the total length of the race course?
| 60.9km | |
| 33.8km | |
| 61.9km | |
| 63.9km |
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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.5km + 50.1km + 13.3km
total distance = 63.9km
If there were a total of 100 raffle tickets sold and you bought 8 tickets, what's the probability that you'll win the raffle?
| 8% | |
| 19% | |
| 14% | |
| 15% |
You have 8 out of the total of 100 raffle tickets sold so you have a (\( \frac{8}{100} \)) x 100 = \( \frac{8 \times 100}{100} \) = \( \frac{800}{100} \) = 8% chance to win the raffle.
Latoya scored 76% on her final exam. If each question was worth 4 points and there were 320 possible points on the exam, how many questions did Latoya answer correctly?
| 61 | |
| 72 | |
| 59 | |
| 48 |
Latoya scored 76% on the test meaning she earned 76% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.76 = 244 points. Each question is worth 4 points so she got \( \frac{244}{4} \) = 61 questions right.
4! = ?
4 x 3 x 2 x 1 |
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4 x 3 |
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3 x 2 x 1 |
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5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
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commutative property for multiplication |
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commutative property for division |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).