| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
Which of the following is not a prime number?
2 |
|
7 |
|
5 |
|
9 |
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.
If the ratio of home fans to visiting fans in a crowd is 4:1 and all 41,000 seats in a stadium are filled, how many home fans are in attendance?
| 32,000 | |
| 32,800 | |
| 28,000 | |
| 26,667 |
A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:
41,000 fans x \( \frac{4}{5} \) = \( \frac{164000}{5} \) = 32,800 fans.
What is z3 x 7z4?
| 7z7 | |
| 7z3 | |
| 8z3 | |
| 7z-1 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
z3 x 7z4
(1 x 7)z(3 + 4)
7z7
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
a = 7 |
|
none of these is correct |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
On average, the center for a basketball team hits 25% of his shots while a guard on the same team hits 30% 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?
| 14 | |
| 6 | |
| 12 | |
| 5 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{30}{100} \) = \( \frac{30 x 10}{100} \) = \( \frac{300}{100} \) = 3 shots
The center makes 25% 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 = \( \frac{3}{\frac{25}{100}} \) = 3 x \( \frac{100}{25} \) = \( \frac{3 x 100}{25} \) = \( \frac{300}{25} \) = 12 shots
to make the same number of shots as the guard and thus score the same number of points.