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murzikaleks [220]
3 years ago
5

Help and explain

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

The surface area of the composite figure is 1108 square inches.

Step-by-step explanation:

The surface area of the composite figure (A_{T}) is equal to the sum of external faces of the rectangular and triangular prisms, all measured in square inches:

A_{T} = 20\,in \times 12\,in + 2\times 5\,in \times 12\,in + 2\times 20\,in \times 5\,in  + 2\times 20\,in \times 11\,in + 2\times \frac{1}{2}\times 12\,in \times 9\,in

A_{T} = 1108\,in^{2}

The surface area of the composite figure is 1108 square inches.

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Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

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2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

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Step-by-step explanation:

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