| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
Jennifer scored 90% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Jennifer answer correctly?
| 20 | |
| 27 | |
| 22 | |
| 28 |
Jennifer scored 90% on the test meaning she earned 90% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.9 = 81 points. Each question is worth 3 points so she got \( \frac{81}{3} \) = 27 questions right.
Which of the following is not a prime number?
7 |
|
9 |
|
2 |
|
5 |
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.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
|
commutative |
|
PEDMAS |
|
distributive |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday the machine was shut down for 7 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 131.9 | |
| 109.5 | |
| 110.4 | |
| 95.6 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{3}{100} \) x 8 = \( \frac{3 \times 8}{100} \) = \( \frac{24}{100} \) = 0.24 errors per hour
So, in an average hour, the machine will produce 8 - 0.24 = 7.76 error free parts.
The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 7.76 = 131.9 error free parts were produced yesterday.
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 6 | |
| 11 | |
| -1 | |
| -2 |
The equation for this sequence is:
an = an-1 + 1
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 + 1
a6 = 5 + 1
a6 = 6