Mathematics: Help pleasesolve for x

Help pleasesolve for x - id10905647, allenpaietonp9v8sv

Ответ:

candice95

18.03.2022

Mathematics

x = 19

Step-by-step explanation:

The 3 angles form a straight line and sum to 180°, that is

5x + 4 + x - 2 + 3x + 7 = 180

9x + 9 = 180 ( subtract 9 from both sides )

9x = 171 ( divide both sides by 9 )

x = 19

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Ответ:

791197

18.11.2021

Mathematics

Var = 6.31

Step-by-step explanation:

The Value at Risk (VAR)

P(X < x_o) = 0.01

By using normal distribution

Mean $\mu$ = 10

Variance = 49

Standard deviation $\sigma = \sqrt{49 } = 7$

This implies that:

$P\Big ( \dfrac{X - \mu}{\sigma } < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ P\Big ( Z < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ \dfrac{x_o - \mu }{\sigma} = invNorm(0.01) \\ \\ x_o = \mu + \sigma \times invNorm (0.01)$

Using the z-table;

$x_o = 10 + 7 \times (-2.33) \\ \\ x_o = -6.3100$

Hence, there exist 1% chance that X < -6.31 or the loss from investment is > 6.31

From the calculated value above;

$V = \mu -\sigma \times 2.33$ ; Since the result is negative, then it shows that the greater the value(i.e the positive or less negative it is ) the lower is the value of VAR. Thus, the least value of VAR is accepted by the largest value of

$min( \mu -\sigma \times2.33,0)$

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