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ELEN [110]
4 years ago
10

Hi please answer this

Mathematics
2 answers:
mrs_skeptik [129]4 years ago
8 0

Answer:

60\sqrt{3 \\ }

Step-by-step explanation:

in a cube, the diagonal is the length of a side times square root of 3

melamori03 [73]4 years ago
8 0
60 square root of 3.
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Suppose the heights of 18-year-old men are approximately normally distributed, with mean 65 inches and standard deviation 4 inch
Serhud [2]

Answer:

Step-by-step explanation:

<u>a)</u>

  • Given that ; X ~ N ( µ = 65 , σ = 4 )
  • P ( 64 < X < 66 )

From application of normal distribution ;

  • Z = ( X - µ ) / σ, Z = ( 64 - 65 ) / 4,  Z = -0.25
  • Z = ( 66 - 65 ) / 4,  Z = 0.25

Hence, P ( -0.25 < Z < 0.25 ) = P ( 64 < X < 66 ) = P ( Z < 0.25 ) - P ( Z < -0.25 ) P ( 64 < X < 66 ) = 0.5987 - 0.4013

  • P ( 64 < X < 66 ) = 0.1974

b) X ~ N ( µ = 65 , σ = 4 )

  • P ( 64 < X < 66 )

From normal distribution application ;

  • Z = ( X - µ ) / ( σ / √(n)), plugging in the values,
  • Z = ( 64 - 65 ) / ( 4 / √(12)) = Z = -0.866
  • Z = ( 66 - 65 ) / ( 4 / √(12)) = Z = 0.866

P ( -0.87 < Z < 0.87 )

  • P ( 64 < X < 66 ) = P ( Z < 0.87 ) - P ( Z < -0.87 )
  • P ( 64 < X < 66 ) = 0.8068 - 0.1932
  • P ( 64 < X < 66 ) = 0.6135

c) From the values gotten for (a) and (b), it is indicative that the probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

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3 years ago
What is 1/8th of a full rotation?
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Well a full rotation is 360 degrees so what you would do is 1/8 of 360 and to do this you would divide 360 by 8 which is 45 and then you would times by 1 so the answer is 45 degrees. To make this simpler if you have a circle and split it into 4 each segment is 90 degrees and to get an extra 4 you'd divide each segment again by 2 and 90/2 is 45
8 0
3 years ago
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