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Mekhanik [1.2K]
3 years ago
15

Justin wanted to wrap his moms birthday present shaped like a rectangular prism with pretty paper. The box is 2.1 feet long, 2.7

feet wide, And 3.2 feet high. What is the total surface area of the box?
Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Answer:

42.06 ft²

Step-by-step explanation:

          2 sides = 2(2.7 ft × 3.2 ft) = 2 × 8.64 ft² =   17.28 ft²

 Front + back =  2(2.1 ft × 3.2 ft) = 2 × 6.72 ft² =   13.44 ft²

Top + bottom =   2(2.1 ft × 2.7 ft) = 2 × 5.67 ft² =   <u>11.34 ft² </u>

                                                         Total area = 42.06 ft²

   

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2 years ago
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3 0
3 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
jek_recluse [69]

Answer:

50%

Step-by-step explanation:

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%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

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3 years ago
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