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3 years ago

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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3 years ago

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Answer:

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

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And the deviation would be:

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And the variance would be given by:

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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

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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

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Part 3

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

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:

$Sd(M) = \sqrt{13.89}= 3.73$

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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