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jonny [76]
2 years ago
10

Simplify: (ab + bc) (ab - bc)​

Mathematics
1 answer:
yanalaym [24]2 years ago
6 0

\:  \:  \:  \:

=  {a}^{2}  \:  {b}^{2}  -  {b}^{2}   \: {c}^{2}

Step-by-step explanation:

(ab + bc)(ab - bc)

  • use <u>(</u><u> </u><u>a </u><u>+</u><u> </u><u>b </u><u>)</u><u> </u><u>(</u><u> </u><u>a </u><u>+</u><u> </u><u>b</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>a²</u><u> </u><u>-</u><u> </u><u>b²</u><u> </u>to simply the product

(ab {)}^{2}  - (bc {)}^{2}

  • to raise a <u>product</u><u> </u><u>to </u><u>a</u><u> </u><u>power </u>,raise each factor to that power

=  {a}^{2}  {b}^{2}  -  {b}^{2}  {c}^{2}

<h2><u>hope</u><u> it</u><u> helps</u></h2>
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Answer:

<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

Step-by-step explanation:

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

<em>Given random sample size 'n' =85</em>

<em>Mean of the sample size x⁻ = 6.5 years</em>

<em>Standard deviation of Population = 1.7 years</em>

<em>Level of significance = 0.95 or 0.05</em>

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

<em>95% of confidence interval for the Population is determined by</em>

<em></em>(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })<em></em>

<em></em>(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })<em></em>

<em>( 6.5 - 0.3614 , 6.5 + 0.3614 )</em>

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<u><em>Conclusion</em></u><em>:-</em>

<em>95% of confidence interval for the Population</em>

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8 0
3 years ago
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Answer:

Step-by-step explanation:

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Hope this helps!  

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