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bagirrra123 [75]
2 years ago
13

When the following fraction is reduced, what will be the exponent on the m? 27mn^3/56m^6n

Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
5 0
From my research the answer for this question is 5
Thepotemich [5.8K]2 years ago
3 0

Answer:

The exponent of m is -5

Step-by-step explanation:

\frac{27mn^{3} }{56m^{6}n } = \frac{27n^{2} }{56m^{5} }

The first step is to check if the coeeficient is in its simplest form. It is because the lowest common multiple of 27 and 56 is 1.

The second step is to subtract the exponents of identical variable/numbers with the same base. for n it is 3 minus 1 = 2.  For m it is 1 - 6 = -5

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Answer:

The probability that the mean of the sample is greater than $325,000

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Step-by-step explanation:

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

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

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Let   X⁻ = 325,000

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }  = \frac{325000-290000}{\frac{145000}{\sqrt{100} } }  = 2.413

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

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413)

                           = 0.5 - A(2.413)

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

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

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