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Mice21 [21]
3 years ago
13

Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'

Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u>Universal set </u>

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given  U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

<u><em>Compliment Of A</em></u>

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

     = {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

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Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu.Assume that the
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Answer:

<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

<em>(173.8175 , 196.1825)</em>

Step-by-step explanation:

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

<em>Given mean of the sample  x⁻ = 185 milligrams</em>

<em>Given standard deviation of the sample 'S' = 17.6 milligrams</em>

<em>Level of significance </em>

<em>                  ∝ = 0.05</em>

t_({\frac{\alpha }{2} , n-1 }) = t_{0.025 ,11} =  2.2010

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

95% confidence interval for the true mean cholesterol content of all such eggs.

(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })

(185 - 2.2010 \frac{17.6}{\sqrt{12} } , 185 + 2.2010 \frac{17.6}{\sqrt{12} })

( 185 - 11.1825 , 185 + 11.1825)

(173.8175 , 196.1825)

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

<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

<em>(173.8175 , 196.1825)</em>

<u><em></em></u>

3 0
3 years ago
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The offer is 25% sale on cupcakes

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3 years ago
Tyler used 1 1/4 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence? Explain or sh
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Answer

0.5 gallons

4 0
3 years ago
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