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1 answer:
Answer:
- reflection over the x-axis
- translation down 8 units
Step-by-step explanation:
g(x) = -f(x) -8
The function is multiplied by -1, which reflects it over the x-axis. -8 is added to each function value, which translates it down 8 units.
The transformations are reflection over y=0 and translation down 8 units.
_____
The original flattened-S shaped curve is reversed top-to-bottom and is moved down. Attached is the original (red) and the transformed function (blue).
Because this is an odd function, reversing it top-to-bottom has the same appearance as reversing it left-to-right.
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Answer:
- Expected Value= -$7
- Bill should not play the game
Step-by-step explanation:
In the game, these are the payout:
- 30% of the time you will lose 20 dollars.
- 20% of the time you lose 40 dollars.
- 10% of the time you win 50 dollars
- 40% of the time you win 5 dollars.
To compute the expected value, take note that a loss is negative while a win is positive.
Therefore:
E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)
E(X)=-7
- The expected value of the event is -$7.
- Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.
Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
- a = 10
- b = 24
Substitute the given values into the formula and solve for c:
Since length is <u>positive</u>, c = 26 only