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kari74 [83]
3 years ago
13

Simply this plz ո • ո3

Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

Answer:

n^4

Step-by-step explanation:

n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.

anzhelika [568]3 years ago
4 0

Answer:

Answer is n^4

Step-by-step explanation:

You add the exponent when they are multiplying and have the same base

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In a <em>two-way frequency table</em>, the marginal frequencies is the 'total' entry for the row and the 'total' entry for the column

The result of the data organized in a <u>two way table</u> with the <u>marginal frequency</u> included is as follows;

\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\  not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\  not \ use \  tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}

The reason the above table is correct is as follows:

The known parameters are;

Number of students in the survey, <em>U</em> = 284 students

The number of students that use a laptop, <em>n(L) </em>= 112

The number of students that also use a tablet, <em>T ∩ L</em> = 49

The number of students that do not use a laptop or a tablet, n(T \cup L)^c  = 97

Required:

To organize the result of the survey in a two-way table

Solution:

U = n(T \cup L)^c + n(T ∪ L)

Therefore;

n(T ∪ L) = U - n(T \cup L)^c

n(T ∪ L) = 284 - 97 = 187

n(T ∪ L) = 187

The number of students that use only a laptop = n(L) - n(T ∩  L) = 112 - 49 = 63

The number of students that use only a laptop <em>[n(L) - n(T ∩  L)] </em>= 63

n(T ∪ L) = n(T) + n(L) - n(T ∩ L)

n(T) = n(T ∪ L) - [n(L) - n(T ∩ L)]

n(T) = 187 - 63 = 124

The number of students that use only tablets = n(T) - n(T ∩  L) = 124 - 49 = 75

The number of students that use only tablets, [n(T) - n(T ∩  L)] = 75

 

The results are organized in the attached two way table and the marginal frequencies are the <u>numbers underlined</u> in the totals column

\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\  not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\  not \ use \  tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}

Learn more about marginal frequencies here:

brainly.com/question/16401512

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