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Dmitry_Shevchenko [17]
3 years ago
15

Marisol is making a rectangular wooden frame. she wants the length of the frame to be no more than 12 inches. she has less than

30 inches of wood to use. select the system of inequalities that represents the possible length, l, and the possible width, w, that her frame could have.
a. l ��� 12. 2l 2w < 30
b. l > 12. 2l 2w < 30
c. l ��� 12. l w < 30
d. l > 12. l w < 30
Mathematics
1 answer:
Blababa [14]3 years ago
4 0
B is your answer
The perimeter of a rectangle is2l + 2wThis has to be less than 30 because she has less than 30 inches of wood altogether.
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What is the standard deviation of this data set? Use a calculator to help you.
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Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

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       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

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       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

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Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

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