What is the equation of a line that passes through the points (0, 5) and (4, 8)?

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (4, 8)

m = $\frac{8-5}{4-0}$ = $\frac{3}{4}$

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y = $\frac{3}{4}$ x + 5 ← equation in slope- intercept form

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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 $\mu = 0.1493, \sigma = 0.2174$