| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
| 2.4 | |
| 1.8 | |
| 9.0 | |
| 1 |
1
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 25 | |
| 14 | |
| 13 | |
| 20 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{70}{100} \) = \( \frac{70 x 10}{100} \) = \( \frac{700}{100} \) = 7 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{7}{\frac{50}{100}} \) = 7 x \( \frac{100}{50} \) = \( \frac{7 x 100}{50} \) = \( \frac{700}{50} \) = 14 shots
to make the same number of shots as the guard and thus score the same number of points.
4! = ?
3 x 2 x 1 |
|
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
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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.
What is \( \frac{3}{7} \) x \( \frac{1}{5} \)?
| \(\frac{1}{27}\) | |
| \(\frac{3}{35}\) | |
| \(\frac{3}{5}\) | |
| \(\frac{16}{45}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{1}{5} \) = \( \frac{3 x 1}{7 x 5} \) = \( \frac{3}{35} \) = \(\frac{3}{35}\)
Convert y-4 to remove the negative exponent.
| \( \frac{-1}{-4y} \) | |
| \( \frac{1}{y^4} \) | |
| \( \frac{1}{y^{-4}} \) | |
| \( \frac{-4}{-y} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.