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DaniilM [7]
2 years ago
8

B is the midpoint of AC, D is the midpoint of CE, and AE = 11. Find BD.

Mathematics
1 answer:
inessss [21]2 years ago
6 0

Answer:

5.5

Step-by-step explanation:

B is the midpoint of AC, D is the midpoint of CE

This means that CE = 1/2 AE

CD = 1/2 ( 11)

CD = 5.5

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The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
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Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

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P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

             = 1 - ( 0.5 - A(1.5))

             = 0.5 + 0.4232

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<u>Step(iii) :-</u>

Given that the random variable  X = 26

               Z = \frac{x-mean}{S.D}

               Z = \frac{33-26}{2} = 3.5 >0

P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

             = 0.001

P(X>26) = 0.001

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3 years ago
If a+b+c=0 for a,b,c then prove a²/bc+b²/ca+c²/ab=3.
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According to the identity if a+b+c=0
then a3+b3+c3=3abc
a3+b3+c3/abc=3
a2*a/bc*a+b2*b/ca*b+c2*c/ab*c=3
cancel a,b,c in   all the fraction then you get
<span>a²/bc+b²/ca+c²/ab=3. 
</span>hence proved


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D

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