Monica scored 84% on the test meaning she earned 84% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.84 = 268 points. Each question is worth 4 points so she got \( \frac{268}{4} \) = 67 questions right.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{36}} \)
\( \frac{\sqrt{64}}{\sqrt{36}} \)
\( \frac{\sqrt{8^2}}{\sqrt{6^2}} \)
\( \frac{8}{6} \)
1\(\frac{1}{3}\)

The equation for this sequence is:

a_n = a_n-1 + 7

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 7
a₆ = 29 + 7
a₆ = 36

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{4}{100} \) x 10 = \( \frac{4 \times 10}{100} \) = \( \frac{40}{100} \) = 0.4 errors per hour

So, in an average hour, the machine will produce 10 - 0.4 = 9.6 error free parts.

The machine ran for 24 - 2 = 22 hours yesterday so you would expect that 22 x 9.6 = 211.2 error free parts were produced yesterday.

Average speed in miles per hour is the number of miles traveled divided by the number of hours: