The quality control manager at a computer manufacturing company believes that the mean life of a computer is 84 months, with a variance of 100. If he is correct, what is the probability that the mean of a sample of 99 computers would be less than 86.8 months? Round your answer to four decimal places.

Identify the translation rule on a coordinate plane that verifies that square a(-4, 3), b(-4, 8), c(-9, 3), d(-9, 8) and square a'(-3, 2), b'(-3, 7), c'(-8, 2), d'(-8, 7) are congruent.

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Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition