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astra-53 [7]
1 year ago
9

Near the equator, the earth rotates approximately 34 kilometers every 32 seconds. what is the speed of earth's rotation near the

equator? show your reasoning and include the unit of measure.
Mathematics
1 answer:
viktelen [127]1 year ago
4 0

Answer:

Step-by-step explanation: The earth rotates 34 km every 32 seconds. We can simplify this by dividing both sides by 32. Now, we have 34/32 km every 32 seconds. Now, to further simplify this, we need to convert 34/32 to a mixed number 34/32 = 1 2/32 which then can be simplified to 1 1/16. So, near the equator, the speed of Earth's rotation is 1 1/16 km per second.

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Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
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Answer:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

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ME = \frac{3.3-1.9}{2}= 0.7

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean \mu. And we can estimate this parameter with a confidence interval given by this formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

7 0
3 years ago
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is
Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ)  = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

                                                 S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

                     t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

                    t = \frac{412 -419}{\frac{28}{\sqrt{19} } }

                   t = -1.09

                 |t| = |-1.09|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

                   

8 0
3 years ago
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