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Scrat [10]
3 years ago
7

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.How much rainfall on the seventh d

ay ​
Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

There was 32.5mm of rainfall on the seventh day.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.

This means that during the week(7 days), the total amount of rain was of:

6*1 + x = 6 + x

How much rainfall on the seventh day ​?

This is x. We have that:

\frac{6 + x}{7} = 5.5

6 + x = 7*5.5

6 + x = 38.5

x = 38.5 - 6 = 32.5

There was 32.5mm of rainfall on the seventh day.

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The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

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Step-by-step explanation:

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

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

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

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

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Step-by-step explanation:

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3 years ago
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B 5 3 a 4 What is the length of the hypotenuse of this triangle? 3 units 5 units 4 units​
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Answer:

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Step-by-step explanation:

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a^2+b^2=c^2

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Answer:

One solution

Step-by-step explanation:

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