(06.01 MC)

Mathematics

1 answer:

pogonyaev2 years ago

7 0

RST is not a right triangle.

<h3>What is a Triangle ?</h3>

A Triangle is a polygon with three sides , three angles and three vertices.

It is given in the question that

triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)

It has to be determined that if the triangle is a right angled triangle ,

If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,

It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .

To know more about Triangle

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A study of the impact of executive networking on firm performance measured firm performance as annual return on equity (ROE), r

vova2212 [387]

Answer:

The value of ROE that will be exceeded by 78% of the firms is -1.77%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma,$ the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The mean ROE for the firms studied was 14.93% and the standard deviation was 21.74%. This means that $\mu = 0.1493, \sigma = 0.2174$