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lianna [129]
3 years ago
11

A rectangular library has a length os 36 feet and a perimeter of 116 feet what is the width in feet of the library

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0
Answer: The width of the library is 22feet.

Perimeter = length+ length+ width+ width

The problem is telling us that the perimeter is 116 and the length is 36. So let’s plug it in and solve for width which equal w
w= width
Step 1: 116= 36+ 36+ w+w

Step 2: 116=72+ 2w

Step 3: 116= 72+2w
-72 -72

Step 4: 44=2w

Step 5: divide 2w on both sides ( 44 divided by 2)

Step 6: w= 22
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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
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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.

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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

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Answer:

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W = (7.0 × 10¹)(25.9) so

W = 1800 N

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