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1 year ago

Need help with systems of equations

Mathematics

1 answer:

OLEGan [10]1 year ago

8 0

Step-by-step explanation:

x + y = 14

this gives us

y = 14 - x

2x = y - 5

we use the first equation in the second

2x = 14 - x - 5 = 9 - x

3x = 9

x = 3

y = 14 - x = 14 - 3 = 11

the smallest number is 3 or 03.

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g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav

dusya [7]

Answer:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

$X_1 = 23.4 , P(X_1) =0.67$ represent the result if the economy improves

$X_2 = -11.9 , P(X_1) =0.33$ represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

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

And replacing the data given we got:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

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2 years ago

Answer answer answer answer

Mice21 [21]

Answer:

$12 \leqslant x < 26$

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3 years ago

-| -8 | |-(-8) are they equal ? Or which one is more ?

satela [25.4K]

Answer:

-| -8 | is less than |-(-8)|

Step-by-step explanation:

-| -8 | =-8

|-(-8)| =8

they are not equal

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Answer:

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3 years ago

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