Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (2 + 2) ÷ 3 x 3 - 5²
P: 3 + (4) ÷ 3 x 3 - 5²
E: 3 + 4 ÷ 3 x 3 - 25
MD: 3 + \( \frac{4}{3} \) x 3 - 25
MD: 3 + \( \frac{12}{3} \) - 25
AS: \( \frac{9}{3} \) + \( \frac{12}{3} \) - 25
AS: \( \frac{21}{3} \) - 25
AS: \( \frac{21 - 75}{3} \)
\( \frac{-54}{3} \)
-18

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

\( \frac{2}{100} \) x 9 = \( \frac{2 \times 9}{100} \) = \( \frac{18}{100} \) = 0.18 errors per hour

So, in an average hour, the machine will produce 9 - 0.18 = 8.82 error free parts.

The machine ran for 24 - 4 = 20 hours yesterday so you would expect that 20 x 8.82 = 176.4 error free parts were produced yesterday.

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 have in common.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

The greatest common factor (GCF) is the greatest factor that divides two integers.