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mariarad [96]
3 years ago
9

Please Answer Attachment Below Thanks

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

Step-by-step explanation:

The interior angles of a heptagon add up to 5*180 = 900

So

x + 143 + 116 + 135 + 135 + 116 + 155 = 900     Add up the known angles

x + 800 = 900                                                   Subtract 800 from both sides

x + 800 - 800 = 900 - 800                              Combine

x = 100

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3 years ago
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AnnyKZ [126]

Answer:

a) In the interval  (  55,9  ;   456,7 ) we will find 99,7 % of all values

b) In the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

Step-by-step explanation:

For a Normal distribution N (μ ; σ ) the Empirical rule establishes that the intervals:

( μ  ±  σ  )          contains 68,3 % of all values

( μ  ±  2σ  )        contains 95,4 % of all values

( μ  ±  3σ  )        contains 99,7 % of all values

If   N ( 256,3 ; 66,8 )

σ  =  66,8        ⇒   3*σ  = 3 * 66,8  = 200,4

Then:     256,3 - 200,4  =  55,9

And        256,3 + 200,4 = 456,7

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b) 2*σ  = 2 * 66,8  = 133,6

Then  256,3 - 133,6  = 122,7

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Then in the interval  (  122,7  ;  389,9 ) we find 95,4 % of all values

4 0
3 years ago
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