| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
12 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 1 | |
| 5 | |
| 7 |
There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 12 people needing transportation leaving 12 - 10 = 2 who will have to find other transportation.
Betty scored 95% on her final exam. If each question was worth 2 points and there were 160 possible points on the exam, how many questions did Betty answer correctly?
| 91 | |
| 76 | |
| 66 | |
| 68 |
Betty scored 95% on the test meaning she earned 95% of the possible points on the test. There were 160 possible points on the test so she earned 160 x 0.95 = 152 points. Each question is worth 2 points so she got \( \frac{152}{2} \) = 76 questions right.
Solve for \( \frac{4!}{6!} \)
| \( \frac{1}{30} \) | |
| \( \frac{1}{6720} \) | |
| 56 | |
| \( \frac{1}{3024} \) |
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:
\( \frac{4!}{6!} \)
\( \frac{4 \times 3 \times 2 \times 1}{6 \times 5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{6 \times 5} \)
\( \frac{1}{30} \)
Simplify \( \sqrt{8} \)
| 2\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 4\( \sqrt{4} \) | |
| 2\( \sqrt{4} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{8} \)
\( \sqrt{4 \times 2} \)
\( \sqrt{2^2 \times 2} \)
2\( \sqrt{2} \)
What is (z2)4?
| 2z4 | |
| z6 | |
| z2 | |
| z8 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z2)4