Answer:
(x, y) = (6, 1) is the solution
Step-by-step explanation:
Each of the equations is written in "slope-intercept" form:
y = mx + b . . . . . . . . where m is the slope and b is the y-intercept
<u>First equation</u>
The y-intercept is +7 and the slope is -1. That means the line goes down 1 unit for each unit it goes to the right. It will go through the points (0, 7) and (7, 0).
<u>Second equation</u>
The y-intercept is -2 and the slope is 1/2. That means the line goes up 1 unit for each 2 units it goes to the right. It will go through the points (0, -2) and (4, 0).
The lines will intersect at the point (6, 1), which is the solution found by graphing.
Answer:
- expected value: -$0.21
- loss on 1000 plays: $210.53
Step-by-step explanation:
The expected value is the sum of products of payoff and probability of that payoff:
-$8(37/38) +$288·(1/38) = $(-296 +288)/38 = -$8/38 ≈ -$0.21
In 1000 plays, the expected loss is ...
-$8000/38 ≈ $210.53
Answer:
7-n^2 (#3)
Step-by-step explanation:
"the difference of" means subtract following number from preceding number in this case 7 from an unknown and it wants this number squared therefore 7 - n^2 is your answer
Linear momentum is expressed as p = mv. Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum.
So the answer would be 1
