The mode is 85, because it is the most occurring in the data set.
hope that helps :)
The square roots are 7 and 9 so the square numbers would be 49 and 81 to equal 130
Answer:
2nd one.
Step-by-step explanation:
Answer:
(22/5, 11/5)
Step-by-step explanation:
Gandalf starts walking in the vector v = 4i + 2j, the slope of it must be 2/4 = 1/2.
So, calling the turn point (x,y) it must be in that vector, and the start point (2,1) must also be in this line, so:
slope = Δy/Δx
1/2 = (y - 1)/(x - 2)
2y - 2 = x - 2
2y = x
y = x/2
The line that makes a right angle with another is called perpendicular, and it has its slopes equal to the opposite of the inverse of the slope of the other line, so:
slope = - 2
The point (x,y) also pertences to it, such as the point (3,5), so:
-2 = (y - 5)/(x - 3)
y - 5 = -2x +6
y = -2x + 11
So, the turn point is the point where these two lines meet:
x/2 = -2x + 11
x = -4x + 22
5x = 22
x = 22/5
y = (22/5)/2
y = 22/10 = 11/5
So, the point that he makes the turn is (22/5, 11/5).
