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2 years ago

11

Michael built a bin to hold 1980 cubic inches of flour. If the bin has a base that is 12 inches by 11 inches, what is the measur

ement of the height?
a) 15 in.
b) 86 in.
c) 1815 in.
d) 1848 in.

2 answers:

andreyandreev [35.5K]2 years ago

6 0

it would be A. Because 11x12 would be 132 and divide that by 1980 and you would get 15 in. :)

luda_lava [24]2 years ago

3 0

My answer is A hope it helps

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95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

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Step-by-step explanation:

We are given that the tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm 2 and a standard deviation of 2.15.

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<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

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P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

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P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

<u><em>95% confidence interval for</em></u> $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $74.28-1.96 \times {\frac{2.15}{\sqrt{50} } }$ , $74.28+1.96 \times {\frac{2.15}{\sqrt{50} } }$ ]

= [73.68 kg/mm2 , 74.88 kg/mm2]

Therefore, 95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

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