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Montano1993 [528]
3 years ago
6

I need help with number 9

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

Square; x=2; y=1

Step-by-step explanation:

Being that the following quaderlateral has equal sides and angles equal to 90 degrees each, it would be classified as a square.

Now, knowing that they have all equal sides, you could say that

1). 5x-4=3x

as well as

2).2y+4=5y+1

Now, solve for each of the variables:

1). 5x-4=3x

    (Minus 3x from both sides and add 4 to both sides)

     2x=4

     (Divide by 2)

     x=2

2). 2y+4=5y+1

    (Minus 5y from both sides and minus 4 to both sides)

   -3y=-3

   (Divide by -3)

      y=1

Hope it helped! (:

     

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Step-by-step explanation:

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The market and Stock J have the following probability distributions:
denis-greek [22]

Answer:

1) E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%

2) E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%

3) E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1

And the variance would be given by:

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And the deviation would be:

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And the deviation would be:

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Step-by-step explanation:

For this case we have the following distributions given:

Probability  M   J

0.3           14%  22%

0.4           10%    4%

0.3           19%    12%

Part 1

The expected value is given by this formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(M) = 14*0.3 + 10*0.4 + 19*0.3 = 13.9 \%

Part 2

E(J)= 22*0.3 + 4*0.4 + 12*0.3 = 11.8 \%

Part 3

We can calculate the second moment first with the following formula:

E(M^2) = 14^2*0.3 + 10^2*0.4 + 19^2*0.3 = 207.1

And the variance would be given by:

Var (M)= E(M^2) -[E(M)]^2 = 207.1 -(13.9^2)= 13.89

And the deviation would be:

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Part 4

We can calculate the second moment first with the following formula:

E(J^2) = 22^2*0.3 + 4^2*0.4 + 12^2*0.3 =194.8

And the variance would be given by:

Var (J)= E(J^2) -[E(J)]^2 = 194.8 -(11.8^2)= 55.56

And the deviation would be:

Sd(M) = \sqrt{55.56}= 7.45

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