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saveliy_v [14]
2 years ago
6

Help fast please ??!!

Mathematics
2 answers:
liberstina [14]2 years ago
4 0

Answer:

1376

Step-by-step explanation:

Step 1   14 × 8 × 12 = 1344

Step 2   28 × 4 = 32

Final Step  1344 + 32 = 1376

Rama09 [41]2 years ago
3 0

Answer:

Area =  1053.59²

Step-by-step explanation:

Area = Area of cylinder + Area of rectangular prism

Area of cylinder = 2 π r h + 2 π r²             [ r = 4, h = 8]

                        = 2 π r ( h + r)

                        = 2 π x 4 ( 8 + 4)

                        = 301.59 ft²

Area of rectangular prism = 2 ( 12 x 8 + 8 x 14 + 14 x 12)  = 752 ft²

Area = 301. 59 + 752 = 1053.59²

                         

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Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

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To find - a. Formulate the above in terms of a hypothesis testing problem.

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a.)

Hypothesis testing problem :

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H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}}  + \frac{s_{2}^{2} }{n_{2}} } }

Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42}  + \frac{0.02496 }{42} } }

Z = \frac{0.127 }{\sqrt{0.001468}}

Z = \frac{0.127 }{0.0377}

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As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

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