Probability of compound events:
P ( A and B ) = P ( A ) · P ( B )
P ( A ) = 0.6
P ( B ) = 0.3
P ( A and B ) = 0.6 · 0.3 = 0.18 ( or 18 % )
Using the given equation:
10PI/X = 240/360
Cross multiply:
(10PI*360) = (240*X)
3600PI = 240X
Divide both sides by 240:
X = 3600PI / 240
X = 15PI in^2
Answer:
<h2>C. infinity many</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
If the equations have the same slopes and the same y-intercepts, then the system of equations has infinitely many solutions.
If the equations have the same slopes and differences of the y-intercepts, then the system of equations has no solution.
If the equations have different slopes, then the system of equations has one solution.
We have
→ m = -6 and b = 3
and
![30x+5y=15](https://tex.z-dn.net/?f=30x%2B5y%3D15)
convert to the slope-intercept form:
<em>subtract 30x from both sides</em>
<em>divide both sides by 5</em>
→ m = -6 and b = 3
<em>We have the same slopes and the same y-intercepts.</em>
93=.62x
x= 150
there were 150 total games
150-93= 57
57 games lost