A12-foot board is to be cut into 5 pieces. four of the pieces will be the same length and one piece will be 2 feet longer than the other four. which equation could be used to solve for the lengths? a)x + x + x + x + 2x = 12 b)x + x + x + x + x - 2 = 12 c)x + x + x + x + x = 12 + 2 d)x + x + x + x + x + 2 = 12

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.

Given: ∆mop p∆mop =12+4 3 m∠p = 90°, m∠m = 60° find: mp, mo

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 substitute the value of y in the first equation: combine like terms: apply the subtraction property of equality: apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 what is the value of y?