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Tcecarenko [31]
3 years ago
10

Find the length of the following segment created by these pairs of endpoints: (0, 1), (0, 7)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0
A=(0;1),\ \ B=(0;7)\\\\|AB|= \sqrt{(7-1)^2} = \sqrt{6^2} =6
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Which of these statements correctly describes the function y=9x - 7?
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Answer:

A. is the answer

Step-by-step explanation:

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7 0
3 years ago
Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles
pentagon [3]

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

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L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

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Dimension of rectangle :

Length = 12

Width = 6

7 0
3 years ago
The following is the frequency distribution for the speed of a sample of automobiles traveling on an interstate highway. Speed (
svlad2 [7]

Answer:

Standard Deviation is 18.57 .

Step-by-step explanation:

We are given the frequency distribution for the speed of a sample of automobiles traveling on an interstate highway;

  Speed (mph)     Frequency (f)      X         X*f           X - Xbar        (X-Xbar)^{2}

     50 - 54                    4                52       208         52 - 65 = -13         169

     55 - 59                    3                57        171           57 - 65 = -8           64

     60 - 64                    2                62        124          62 - 65 = -3            9

     65 - 69                    5                67        335          67 - 65 = 2             4

     70 - 74                     2                72        144           72 - 65 = 7            49

     75 - 79               <u>      5       </u>         77     <u>   385    </u>      77 - 65 = 12          144

                                <u> ∑f = 21   </u>              ∑X*<u>f = 1367 </u>            

Mean of the data, Xbar = \frac{\sum Xf}{\sum f}

                                       = \frac{1367}{21} = 65.09 ≈ 65 .        

Now, Standard deviation, s = \sqrt{\frac{\sum f*(X-Xbar)^{2} }{n-1}}

s =  \sqrt{\frac{(4*169)+(3*64)+(2*9)+(5*4)+(2*49)+(5*144)}{6-1} } = \sqrt{\frac{1724}{5} } = 18.57

Therefore, standard deviation is 18.57 .

           

5 0
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A piggy bank contains nickels and dimes. There are 160 total coins valuing $10.50. Think about a system of equations that can be
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Answer:

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Step-by-step explanation:

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