| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
A machine in a factory has an error rate of 3 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 7 hours for maintenance.
How many error-free parts did the machine produce yesterday?
| 172 | |
| 129.4 | |
| 115.4 | |
| 100 |
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 7 = \( \frac{3 \times 7}{100} \) = \( \frac{21}{100} \) = 0.21 errors per hour
So, in an average hour, the machine will produce 7 - 0.21 = 6.79 error free parts.
The machine ran for 24 - 7 = 17 hours yesterday so you would expect that 17 x 6.79 = 115.4 error free parts were produced yesterday.
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 28 | |
| 33 | |
| 36 | |
| 31 |
The equation for this sequence is:
an = an-1 + 2(n - 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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
Charlie loaned Monty $300 at an annual interest rate of 2%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $36 | |
| $13 | |
| $81 | |
| $6 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $300
i = 0.02 x $300
i = $6
The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
|
absolute value |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\({a \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.