Answer:
1) A point P is named or labeled by using a coordinate pair, where the regular notation is:
P = (x, y).
Where x and y are the horizontal and vertical components.
2) Three distinct points are collinear if exists a line that passes through the 3 points.
3) Three distinct points are complanar if they are not collinear, this means that:
We can have two colinear points (so one line connects them) and another point outside that line.
Then the set of 3 points is coplanar.
Answer:
σ = 2 (option a)
Step-by-step explanation:
You would want the smallest standard deviation possible.
Think of it like this: if everyone, other than you, got only 50, 51, 52, 53 then you would be the ultimate highest position in the class.
As opposed to being an average position if the scores were about 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60 ---your score would not put you in the highest position in the class distribution.
So, a standard deviation of σ = 2 would give you the highest position in the class distribution.
Answer:
P = 17
Step-by-step explanation:
let's separate this into x and y components
x component: 3x
as x increases, so does the x component. e.g. 0 * 3 = 0, 4 * 3 = 12. therefore, we want x as high as possible
y component: y
as y increases, so does the y component. this is because the y component is literally just y.
therefore, given these two, to maximize P, we want x and y to be as high as possible
in 0 ≤ x ≤ 4, the maximum of x is 4
in -1 ≤ y ≤ 5, the maximum of y is 5
plug these in to get
3(4) + 5 = 17 as our answer