Answer:
The correct statements are options 1 (E F + F G > E G), 2 (E G + F G > E F), and 5 (E G + E F < F G).
Step-by-step explanation:
We have triangle EFG.
For any triangle with sides a, b, and c, these inequalities hold:
Specifically for triangle EFG:
Thus, the true statements are options 1, 2, and 5.
Statements 3 and 4 are incorrect.
<span>Skewness serves as a descriptive statistic in the analysis of data distribution. In the realm of finance and investing, skewness is considered alongside other statistics such as kurtosis and value at risk (VAR). When assessing investment returns, skewness reflects the asymmetry present in these returns. Normally distributed data sets will have a skewness of zero, whereas investment returns frequently deviate from a normal distribution.
In graphs showcasing investment returns displaying positive skewness, this indicates that: mean > median > mode. Conversely, a negative skewness reveals the relationship: mean < median < mode.
Evaluating skewness is crucial in reviewing investment returns, as it signals potential risks based on historical return patterns. Despite a negative skew indicating a high occurrence of smaller gains, it can also alert to the chance, albeit remote, of an extremely adverse outcome.</span>
Answer:
First, we must calculate the slope
m=Y2-Y1/X2-X1
= 9 - (-6) / 12 - (-8)
= 15/20
= 3/4
Therefore, the equation with the slope of 3/4 is Y=3/4x
V = x³ - 6x²y + 12xy² - 8y³
V = (x - 2y)³
= (x - 2y)(x - 2y)(x - 2y) ( start by expanding the first pair of factors )
= (x² - 4xy + 4y²)(x - 2y) ( multiply the terms from the first group with those in the second )
= x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( combine similar terms )
= x³ - 6x²y + 12xy² - 8y³
