Can someone walk me through these? i need a better understanding. or maybe just one of them so i can understand and do the rest with the example. you.

Step-by-step explanation:

I'll do the first one as an example.

"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"

Let's call the point we're trying to find P.  Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.

KP / PL = 3 / 2

Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.

KxPx / PxLx = 3 / 2

KyPy / PyLy = 3 / 2

First, let's use the x coordinates:

(x − (-5)) / (5 − x) = 3 / 2

(x + 5) / (5 − x) = 3 / 2

2 (x + 5) = 3 (5 − x)

2x + 10 = 15 − 3x

5x = 5

x = 1

And now with the y coordinates:

(y − (-4)) / (1 − y) = 3 / 2

(y + 4) / (1 − y) = 3 / 2

2 (y + 4) = 3 (1 − y)

2y + 8 = 3 − 3y

5y = -5

y = -1

So the point P is at (1,-1).

lk; kjuiihijhniuhn

step-by-step explanation:

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0