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Vinvika [58]
3 years ago
11

an athlete is running around a circular path that has a diameter of 250 and an arc of 120 also use 3.14 as pie

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:

1257.14 m or 1.26 km

Step-by-step explanation: hope this helps :)

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write an equation that represents each mixed number as a sum of whole numbers and unit fractions 4 1/4
Serhud [2]
The equation would be 4 1/4 = 4 + 1/4
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Geometry math question no Guessing and Please show work
galina1969 [7]

here ZLS defines a line segment with end points Z and S.

so it represents line segment ZS

So option B is correct

4 0
3 years ago
hus, D satisfying ​(ABC)DequalsI exists. Why does the expression for D found above also satisfy ​D(ABC)equalsI​, thereby showing
Assoli18 [71]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     D =  A^{-1}  *  B^{-1} *  C^{-1}

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that A^{-1} , B^{-1}, C^{-1} exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  A^{-1}  we have

          A^{-1}  A BCD =  A^{-1} * I

          IBCD =  A^{-1}

Now when we multiply both sides by  B^{-1}  we have  

         B^{-1 } *I BCD =  A^{-1}  *  B^{-1}

         I CD =  A^{-1}  *  B^{-1}

Now when we multiply both sides by  C^{-1}  we have  

          C^{-1} * I CD =  A^{-1}  *  B^{-1} *  C^{-1}

              I D =  A^{-1}  *  B^{-1} *  C^{-1}

                 D =  A^{-1}  *  B^{-1} *  C^{-1}

So substituting for D in the above equation

                 (ABC) *  A^{-1}  *  B^{-1} *  C^{-1} =  I

                 I =  I

This proof that  ABC is invertible

 

4 0
3 years ago
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting
Stolb23 [73]

Answer:

1. 0.1635

2. 0.0026

Step-by-step explanation:

The computation of the probability in the following cases are as follows:

1.

Given that

Mean = 25 minutes

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So here the z score would be

= (31 - 25) ÷(6.1)

= 0.98

Now the probability is

= P(Z>0.98)

= 0.1635

2. the z score would be

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= 0.0026

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Answer:

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