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 6 = \( \frac{2 \times 6}{100} \) = \( \frac{12}{100} \) = 0.12 errors per hour

So, in an average hour, the machine will produce 6 - 0.12 = 5.88 error free parts.

The machine ran for 24 - 6 = 18 hours yesterday so you would expect that 18 x 5.88 = 105.8 error free parts were produced yesterday.

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

1,844,000 in scientific notation is 1.844 x 10⁶

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 5 + 10 + 6}{4} \) = \( \frac{32}{4} \) = 8

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-7y⁶ - 8y⁶
(-7 - 8)y⁶
-15y⁶

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.