find the equation of the line passing through the points (2,4) and (3,2). find both

  y = -2x +8

Step-by-step explanation:

The 2-point form of the equation of a line is useful when two points are given.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (2 -4)/(3 -2)(x -2) +4

  y = -2(x -2) +4

  y = -2x +8

The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by .

In this question, we have that:

Mean of 32000, Standard deviation of 3000.

Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750

This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.

Value of k:

This is k standard deviations from the mean. k is given by:

Proportion:

The percentage is:

.

So the proportion is 0.8025