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3 years ago

What is the solution for the system of equations?

Mathematics

1 answer:

Lena [83]3 years ago

5 0

Answer:

1, 3

Step-by-step explanation:

// Solve equation [2] for the variable y

[2] y = x - 2

// Plug this in for variable y in equation [1]

[1] (x -2) + x = 4

[1] 2x = 6

// Solve equation [1] for the variable x

[1] 2x = 6

[1] x = 3

// By now we know this much :

y = x-2

x = 3

// Use the x value to solve for y

y = (3)-2 = 1

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A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13

saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}$

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

$Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28$

So, Mean = 6.28

2) Median

The formula used to calculate median is: $Median=\frac{n+1}{2}\:th\: term$ because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

$Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term$

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: $Range=Maximum\:Value-Minimum\:Value$

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

$Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6$

So, Range = 6

3 0

3 years ago

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Find the difference 77/8-3 1/4

gulaghasi [49]

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8 0

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Bumek [7]

Answer:

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Answer:

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