| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
If a mayor is elected with 83% of the votes cast and 83% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?
| 20,501 | |
| 25,232 | |
| 18,609 | |
| 26,178 |
If 83% of the town's 38,000 voters cast ballots the number of votes cast is:
(\( \frac{83}{100} \)) x 38,000 = \( \frac{3,154,000}{100} \) = 31,540
The mayor got 83% of the votes cast which is:
(\( \frac{83}{100} \)) x 31,540 = \( \frac{2,617,820}{100} \) = 26,178 votes.
A machine in a factory has an error rate of 9 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 192 | |
| 101.9 | |
| 145.6 | |
| 139.7 |
The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:
\( \frac{9}{100} \) x 7 = \( \frac{9 \times 7}{100} \) = \( \frac{63}{100} \) = 0.63 errors per hour
So, in an average hour, the machine will produce 7 - 0.63 = 6.37 error free parts.
The machine ran for 24 - 8 = 16 hours yesterday so you would expect that 16 x 6.37 = 101.9 error free parts were produced yesterday.
What is -5z3 x 8z5?
| -40z15 | |
| -40z8 | |
| -40z5 | |
| -40z3 |
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:
-5z3 x 8z5
(-5 x 8)z(3 + 5)
-40z8
Which of the following is not a prime number?
2 |
|
5 |
|
7 |
|
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.