Answer: The median is 13.5 and the mean is 13.3
Step-by-step explanation:
The median is the middle number when you arrange the data in ascending order. The mean is all the data added up and divided by the number of data points, which is 8. The mean was 13.25, but rounded to the nearest 10th is 13.3.
All you do is multiply across. For example...
1/3 x 2/5
Multiply the numerators and denominators.
(1 x 2) / (3 x 5)
= 2/15
If you need to, you can simplify but in this case you don't have to.
I hope this helps love! :)
These are the formulas that will help you determine which type of triangle they are:
a^2+b^2 < c^2 ----> Obtuse Triangle
a^2+b^2 > c^2 ----> Actue Triangle
a^2+b^2 = c^2 ----> Right Triangle
Okay so now that you know that information, lets get into it :)
a. 5 in, 6 in, 7 in
You're going to take the smallest numbers, 5 and 6, and add them, if it equals a larger number than 7 then its a triangle and you have to determine if its an obtuse, right or acute triangle. In this case it is a triangle because 5 + 6 = 11 aka larger than 7.
The way you'll set this up is:
5^2 + 6^2 = 7^2
solve
25+36=49 -----> 25+36=61
61 > 49 or a^2 + b^2 > c^2
61 > is greater than 49
If you look ate the formulas that are above, this is an acute triangle.
b. 18 in, 9 in, 12 in
In this question, 9 and 12 are the smallest numbers that equal 21 and 21 is larger than 18 so, this is a triangle.
9^2 + 12^2 = 18^2
Solve
81 + 144 = 324 ----> 81 + 144 = 225
225 < 324 or a^2+b^2 < c^2
225 < is less than 324
If you look ate the formulas that are above, this is an obtuse triangle.
Something to just remember:
Sometimes you'll get a question which is like,
4 in, 5 in, 10 in
In this situation, if you add the smallest numbers which are, 4 and 5, you get 9, which is less than the larger number you have, 10. That means it is not a triangle. Just something to be aware about :)
I hope this helped you!
Answer:
Step-by-step explanation:
Since we know the line goes through points 
and 
, we can construct a line in slope-intercept form
where 
is the slope and 
is the Y-intercept.
The slope can be found using the two points provided:
The line is now represented as
To solve for , we can plug in one of the two points:
We know have our line:
To determine if the point 
falls on this line, we just plug the numbers into the equation and see if it holds true:
This does not hold true, so the point is not on the line.
