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MatroZZZ [7]
3 years ago
10

Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine po

wer cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.05 mm. What hypotheses should be tested, and why
Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

Step-by-step explanation:

To help the company achieve a true standard deviation of sheath thickness is less than 0.05 mm, the company should test the hypothesis that

Null hypothesis: standard deviation of sheath thickness is greater than or equal to 0.05 mm

While the alternative hypothesis: standard deviation of sheath thickness is less than 0.05 mm.

Making such hypotheses enable us to be able to find conclusiveevidence against the null hypothesis to either reject or to fail to reject the null hypothesis

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Todd uses 21 white tiles & some black tiles to make a mosaic.The mosaic has a total area of 144 square centimeters.Each tile
icang [17]

Answer: Todd used 27 black tiles.

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x

Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is

21 × 3 = 63 square centimeters

Also, the total area covered by the black tiles is

3 × x = 3x square centimeters

The mosaic has a total area of 144 square centimeters. This means that

3x + 63 = 144

3x = 144 - 63

3x = 81

x = 81/3 = 27

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Step-by-step explanation:

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slavikrds [6]

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