What is the slope of the points (2,5) and (0,-4)?

To find the slope of two points, we have to first assign our points as x1, y1 and x2, y2.

In our problem,

x1 = 2 and y1 = 5

x2 = 0 and y2 = -4

We know that that slope = y2 - y1 / x2 - x1. Let's plug our numbers into this formula.

Slope = -4 - 5 / 0 - 2 = -9 / -2 = 9 / 2

a)

b)

c)

The results are on the fogure attached.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Part a

For this case we want to find this probability:

And we can find this probability with this difference:

And if we find the probability using the normal standard distribution or excel we got:

Part b

For this case we want to find this probability:

And we can find this probability with this difference:

And if we find the probability using the normal standard distribution or excel we got:

Part c

For this case we want to find this probability:

And we can find this probability with this difference:

And if we find the probability using the normal standard distribution or excel we got: