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victus00 [196]
3 years ago
14

9. A rectangle has an area of 45m²

Mathematics
1 answer:
love history [14]3 years ago
6 0

Answer:

Lenght=3\,m

Product of length and width= 45

Step-by-step explanation:

The product of the length and width of the rectangle is called the area of the rectangle.

Area of the rectangle= 45\,m^2

Width=15\,m

Area of the rectangle= Length\times Width

    45=Length\times 15\\\\Length=\dfrac{45}{15}\\\\ Length=3\,m

The product of the Length and Width of the rectangle is :

=3\times15\\\\=45 m^2 i.e area of the rectangle.

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The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a la
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Answer:

The mean life of a large shipment of CFL bulbs is equal to 7,520 hours.

Step-by-step explanation:

The quality control manager wants to determine whether the mean life of a large shipment of CFL bulbs is equal to 7,520 hours.

The quality control manager can use a one-sample test to determine whether the mean life is 7,520 hours or not.

The hypothesis can be defined as follows:

<em>H₀</em>: The mean life of a large shipment of CFL bulbs is equal to 7,520 hours, i.e. <em>μ</em> = 7520.

<em>Hₐ</em>: The mean life of a large shipment of CFL bulbs is different from 7,520 hours, i.e. <em>μ</em> ≠ 7520.

The information provided is:

\sigma=1200\\n=64\\\bar x=7324

As the population standard deviation is provided, we will use a <em>z</em>-test for single mean.

Compute the test statistic value as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{7324-7520}{1200/\sqrt{64}}=-1.31

The test statistic value is -1.31.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the <em>p</em>-value for the two-tailed test as follows:

p-value=2\times P(Z

*Use a <em>z</em>-table for the probability.

The <em>p</em>-value of the test is 0.1902.

The <em>p</em>-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, it can be concluded that the mean life of a large shipment of CFL bulbs is equal to 7520 hours.

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3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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If this answer is correct, please make me Brainliest!

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Answer:

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Answer:

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