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Vika [28.1K]
4 years ago
5

Help me please! i’m very behind.

Mathematics
1 answer:
larisa [96]4 years ago
4 0

Answer:

A number is larger than 5 --> x > 5

A number is not less than 5 --> x ≥ 5

A number is at most 5 --> x ≤ 5

A number is below 5 --> x < 5

Step-by-step explanation:

Explaining each choice:

"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.

"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.

"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.

"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.

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Step-by-step explanation:

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A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d
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Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

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Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, \bar{x}_{1} = 2.007 L

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The nature of the variance of the two samples = Equal variance

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The difference between the mean

\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}

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\mu_1 - \mu_2 = \left (2.007- 2.001  \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}

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-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

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