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ki77a [65]
3 years ago
12

Select all of the equations that have a solution of 4.

Mathematics
2 answers:
just olya [345]3 years ago
8 0

Answer:

A, D

Step-by-step explanation:

A. 5x = 20

divide by 5 on both sides

x = 4

D. x/2 = 2

multiply both sides by 2

x = 4

B and C would equal -4

E would equal 64

skelet666 [1.2K]3 years ago
5 0

Answer:

a and d

Step-by-step explanation:

5x = 20

5/5x = 20/5

x = 4

8x = -32

x = -4

-4x = 16

x = -4

x/2 = 2

2*x/2=2*2

x = 4

x/4 = 16

4*x/4 = 16*4

x = 64

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At the given rate, Mr. Hickman's cherry tree would grow 16 inches in 1 year.

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You survey 284 students about whether they use a laptop or tablet. One hundred
Murljashka [212]

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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