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galina1969 [7]
2 years ago
15

QUICKKKKKKKKFor what values of a is the sum of the fractions (2a−1)/4 and (a−1)/3 positive?

Mathematics
1 answer:
nordsb [41]2 years ago
7 0

Answer:

a>\frac7{10}

Step-by-step explanation:

\frac{2a-1}4+\frac{a-1}3>0\ \ \ \ \ |\cdot 12\\ 12\cdot\frac{2a-1}4+12\cdot\frac{a-1}3>12\cdot0\\ 3(2a-1)+4(a-1)>0\\ 6a-3+4a-4>0\\ 10a-7>0\\ 10a>7\ \ \ \ |:10\\ a>\frac7{10}

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
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Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

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Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

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