| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
Which of the following is not a prime number?
7 |
|
9 |
|
5 |
|
2 |
A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.
Find the average of the following numbers: 9, 3, 10, 2.
| 6 | |
| 1 | |
| 5 | |
| 11 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{9 + 3 + 10 + 2}{4} \) = \( \frac{24}{4} \) = 6
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 45% of his shots. If the guard takes 15 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?
| 11 | |
| 13 | |
| 17 | |
| 16 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{45}{100} \) = \( \frac{45 x 15}{100} \) = \( \frac{675}{100} \) = 6 shots
The center makes 35% 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 = \( \frac{6}{\frac{35}{100}} \) = 6 x \( \frac{100}{35} \) = \( \frac{6 x 100}{35} \) = \( \frac{600}{35} \) = 17 shots
to make the same number of shots as the guard and thus score the same number of points.
Solve 4 + (3 + 4) ÷ 2 x 5 - 32
| 2\(\frac{1}{4}\) | |
| 1\(\frac{1}{5}\) | |
| 12\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (3 + 4) ÷ 2 x 5 - 32
P: 4 + (7) ÷ 2 x 5 - 32
E: 4 + 7 ÷ 2 x 5 - 9
MD: 4 + \( \frac{7}{2} \) x 5 - 9
MD: 4 + \( \frac{35}{2} \) - 9
AS: \( \frac{8}{2} \) + \( \frac{35}{2} \) - 9
AS: \( \frac{43}{2} \) - 9
AS: \( \frac{43 - 18}{2} \)
\( \frac{25}{2} \)
12\(\frac{1}{2}\)
What is \( 4 \)\( \sqrt{50} \) - \( 6 \)\( \sqrt{2} \)
| 14\( \sqrt{2} \) | |
| -2\( \sqrt{100} \) | |
| 24\( \sqrt{100} \) | |
| -2\( \sqrt{-21} \) |
To subtract these radicals together their radicands must be the same:
4\( \sqrt{50} \) - 6\( \sqrt{2} \)
4\( \sqrt{25 \times 2} \) - 6\( \sqrt{2} \)
4\( \sqrt{5^2 \times 2} \) - 6\( \sqrt{2} \)
(4)(5)\( \sqrt{2} \) - 6\( \sqrt{2} \)
20\( \sqrt{2} \) - 6\( \sqrt{2} \)
Now that the radicands are identical, you can subtract them:
20\( \sqrt{2} \) - 6\( \sqrt{2} \)