(g₀f)(x)=g(f(x))
=g(2x-2)
=5(2x-2)^2-3
=5(4x^2-8x+4)-3
=20x^2-40x+17
Answer:
The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.
Step-by-step explanation:
Consider the provided information.
It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.
The probability of winning is 1/38. So, the probability of loss is 37/38.
Now, find the expected value of the game to the player as shown:
Hence, the expected value of the game to the player is -$0.2105.
Now find the expect to loss if played the game 1000 times.
1000×(-$0.2105)=-$210.5
Therefore, the expected loss if played the game 1000 times is -$210.5.
Answer:
5.1 centimeters (5.08 not rounded)
Step-by-step explanation:
1 inch=2.54 centimeters
2.54*2=5.08
<span>Please, post only one question at a time.
The line passing through (1,4) and (-4,-1) has the following slope:
-1 - 4 -5
m = ------------ = -------- = +1
-4 - 1 -5
Find the slope of the line passing thru the other set of points. Graph both lines. What do you see? Do the 2 lines have any particular relationship to one another?
</span>
Answer:
-3.5
The distance Rachel covers per hour is 3.5 miles
Step-by-step explanation:
After 2 hours, she is 13 miles from the campground.
After 4 hours, she is 6 miles from the campground.
Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).
The equation of the line passing through the points and is
Substitute:
Hence,
The slope of the line is and it represents that the distance Rachel covers per hour is 3.5 miles.