Please help. I don’t understand what sample space is or how to get to the last answer.

13/16

Step-by-step explanation:

A sample space is a collection or a set of possible outcomes of a random experiment.

I have created the sample space for these data and attached it.  As you can see there are 16 possible outcomes.

To find the probability that the total showing is greater than 3, simply identify the number of values in the sample space that are greater than 3.

(I have highlighted these in yellow).

Therefore, P(X>3) = 13/16

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

For the point (-1,-4)

substitute

For the point (1,4)

substitute

The linear equation is  

This line represent a direct variation