| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.95 |
| Score | 0% | 59% |
If there were a total of 200 raffle tickets sold and you bought 16 tickets, what's the probability that you'll win the raffle?
| 18% | |
| 1% | |
| 8% | |
| 3% |
You have 16 out of the total of 200 raffle tickets sold so you have a (\( \frac{16}{200} \)) x 100 = \( \frac{16 \times 100}{200} \) = \( \frac{1600}{200} \) = 8% chance to win the raffle.
Convert 0.0008113 to scientific notation.
| 8.113 x 10-5 | |
| 8.113 x 104 | |
| 8.113 x 10-3 | |
| 8.113 x 10-4 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
0.0008113 in scientific notation is 8.113 x 10-4
What is \( \frac{4}{6} \) ÷ \( \frac{3}{5} \)?
| \(\frac{3}{16}\) | |
| \(\frac{4}{45}\) | |
| 1\(\frac{1}{9}\) | |
| \(\frac{4}{15}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{6} \) ÷ \( \frac{3}{5} \) = \( \frac{4}{6} \) x \( \frac{5}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{5}{3} \) = \( \frac{4 x 5}{6 x 3} \) = \( \frac{20}{18} \) = 1\(\frac{1}{9}\)
What is \( 8 \)\( \sqrt{125} \) + \( 4 \)\( \sqrt{5} \)
| 32\( \sqrt{625} \) | |
| 32\( \sqrt{25} \) | |
| 44\( \sqrt{5} \) | |
| 32\( \sqrt{125} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{125} \) + 4\( \sqrt{5} \)
8\( \sqrt{25 \times 5} \) + 4\( \sqrt{5} \)
8\( \sqrt{5^2 \times 5} \) + 4\( \sqrt{5} \)
(8)(5)\( \sqrt{5} \) + 4\( \sqrt{5} \)
40\( \sqrt{5} \) + 4\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
40\( \sqrt{5} \) + 4\( \sqrt{5} \)The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.