Answer:
The distance between these 2 points is 13.
Step-by-step explanation:
Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.
First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

Distance is an absolute value from 0, so -12 is the same as 12.
Next, find the horizontal distance between the x-coordinates.

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

The distance between these 2 points is 13.
Answer:
(E) Number of students in the data set
Explanation:
A variable, in research and data collection, refers to something that is being measured and can have changing values.
The example above shows that student birth month is a variable since we can have a range of options from January to December. Political affiliation is also a variable since the students can state whether they follow certain political parties or even whether they do not. Student age is a variable too, with answers from a range of numbers such as 20-25, since they are college students. Student address is a variable as well since students will have varying answers, be it those who live in the same address or different ones.
However, number of students in the data set is not a variable – it is instead the number of research participants. It can be a population or a sample, depending on what the research is about.
Answer:
a) The variable of the study is: milligrams of nitrogen per liter of water.
This is the amount that needs to be measured and analyzed to reach conclusions in the study.
b) The variable is quantitative. The quantitative variables are those that represent quantities. This variables can be measured on a continuous or discrete scale. Then, all the variables that you can measure or count are quantitative variables(height of trees, number of passengers per car, wind speed, milligrams of nitrogen per liter, etc). On the other hand, qualitative variables are those that can’ t be measured, and they represent attributes, like apple colors (red, green), size of trousers (small, medium, large) and so on.
c) The population under study is the milligrams of nitrogen per liter of water that are in the entire lake. You can estimate the parameters of the population by taking samples (In the example, 28 samples are taken).
Answer:
inconsistent
Step-by-step explanation:
inconsistent
Answer:
a. 0%
Step-by-step explanation:
The sun always rises in the east.
So the probability of it rising in the west is 0%, which means that the correct answer is a.