| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
In a class of 31 students, 13 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 9 | |
| 20 | |
| 27 | |
| 13 |
The number of students taking German or Spanish is 13 + 11 = 24. Of that group of 24, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 24 - 2 = 22 who are taking at least one language. 31 - 22 = 9 students who are not taking either language.
Solve for \( \frac{4!}{3!} \)
| \( \frac{1}{56} \) | |
| 4 | |
| 15120 | |
| 72 |
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:
\( \frac{4!}{3!} \)
\( \frac{4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} \)
\( \frac{4}{1} \)
4
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).
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
absolute value |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 16 | |
| 21 | |
| 24 | |
| 15 |
The equation for this sequence is:
an = an-1 + 3
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 3
a6 = 13 + 3
a6 = 16