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 6 = \( \frac{9 \times 6}{100} \) = \( \frac{54}{100} \) = 0.54 errors per hour

So, in an average hour, the machine will produce 6 - 0.54 = 5.46 error free parts.

The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 5.46 = 109.2 error free parts were produced yesterday.

If 52% of the town's 28,000 voters cast ballots the number of votes cast is:

(\( \frac{52}{100} \)) x 28,000 = \( \frac{1,456,000}{100} \) = 14,560

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 14,560 = \( \frac{815,360}{100} \) = 8,154 votes.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 35mph \times 3h \)
105 miles

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{7} \) x \( \frac{4}{9} \) = \( \frac{4 x 4}{7 x 9} \) = \( \frac{16}{63} \) = \(\frac{16}{63}\)