3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3
2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4
same slope, different y int = parallel lines = no solution = inconsistent
Answer:
−5x+27
Step-by-step explanation:
Outcome on winning = $100 - $20 = $80
Outcome on losing = $20
Probability of winning = 1/6
Probability of losing = 5/6
Expected Value = 1/6 (80) +5/6(-20) = -3.333
This shows on average from each game, the game earns $ 3.333.
So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330
So, the answer to this question is option A
Answer:
The circle's circumference is equal to 14π yards.
General Formulas and Concepts:
<u>Geometry</u>
Circumference of a Circle Formula: C = πd
- <em>d</em> is the diameter of the circle
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em>d</em> = 14 yds
<u>Step 2: Find Circumference</u>
- Substitute in variables [Circumference Formula]: C = 14π yds
Topic: Geometry
