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satela [25.4K]
2 years ago
5

Find a + b, 6a + 8b, |a|, and |a − b|

Mathematics
1 answer:
IrinaK [193]2 years ago
5 0

Answer:

a+b=(6,3)

6a+8b=(54,16)

a=(-3,4)

a-b=(-12,5)

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
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Answer:

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68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma)

95% of all values lie within the 1 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)

99.7% of all values lie within the 1 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

\mu = 55\\\sigma = 4

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma) = (55-4,55+4)= (51,59)

95% of all values lie within the 2 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)= (55-2(4),55+2(4))= (47,63)

99.7% of all values lie within the 3 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)= (55-3(4),55+3(4))= (43,67)

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

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