Okay to split a segment in half you just need to find the midpoint of the two endpoints. Mathematically this is just the average of the coordinates of the endpoints which is:
mp=((x1+x2)/2, (y1+y2)/2)
Which in this case is:
mp=((-2+3)/2, (4+7)/2)
mp=(1/2, 11/2)
mp=(0.5, 5.5)
So the x-coordinate by itself is just 0.5, or answer c.
Answer:
r<4
Step-by-step explanation:
-3(r-4)>0 step 1: distribute the -3
-3r+12>0 explain: -3 times r =-3r, -3 times -4 = 12
next, isolate the -3r by putting 12 on the other side
-3r+12>0 subtract 12 from both sides
-3r>-12 now, divide both sides by -3 (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4
so you should end up with r<4
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get



Therefore the expected payout of the game is $230.46.