Answer:
Expected value of the game: -$0.421
Expected loss in 1000 games: $421
Step-by-step explanation:
There are two possible outcomes for the event:
- There is a 1 in 38 chance of winning $280
- There is a 37 in 38 chance of losing $8
The expected value for a single game is:
The expected value of the game is -$0.421
In 1,000 plays, the expected loss is:
You would expect to lose $421.
Answer:
Step-by-step explanation:
Recall that 
. Using this, we can simplify and combine the two terms:
. Therefore, the terms may be combined.
The volume of the cylinder with an hexagonal base is 1793.4 cm³
<h3 /><h3>How to find the volume of a cylinder?</h3>
The volume of a cylinder with a hexagonal base can be found as follows;
volume of the hexagonal cylinder = Bh
where
Therefore,
area of the hexagonal base = 1 / 2 pa
where
- p = perimeter
- a = apothem
Therefore,
Volume = (0.5 × 6.1 × 7 × 6) × 14
Therefore,
volume = 128.1 × 14
volume = 1793.4 cm³
learn more on hexagonal cylinder here: brainly.com/question/12477905
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1) consistent system. at least one solution.
2) inconsistent system. no solutions (the lines are parallel)
3) dependent system. equations have same slope and y-intercept(same line)independent system.
4) equations have different slopes(2 intersecting lines)
im not sure if thats what you were looking for
Answer:
a. y= e raise to power y
c. y = e^ky
Step-by-step explanation:
The first derivative is obtained by making the exponent the coefficient and decreasing the exponent by 1 . In simple form the first derivative of
x³ would be 2x³-² or 2x².
But when we take the first derivative of y= e raise to power y
we get y= e raise to power y. This is because the derivative of e raise to power is equal to e raise to power y.
On simplification
y= e^y
Applying ln to both sides
lny= ln (e^y)
lny= 1
Now we can apply chain rule to solve ln of y
lny = 1
1/y y~= 1
y`= y
therefore
derivative of e^y = e^y
The chain rule states that when we have a function having one variable and one exponent then we first take the derivative w.r.t to the exponent and then with respect to the function.
Similarly when we take the first derivative of y= e raise to power ky
we get y=k multiplied with e raise to power ky. This is because the derivative of e raise to a constant and power is equal to constant multiplied with e raise to power y.
On simplification
y= k e^ky
Applying ln to both sides
lny=k ln (e^y)
lny=ln k
Now we can apply chain rule to solve ln of y ( ln of constant would give a constant)
lny = ln k
1/y y~= k
y`=k y
therefore
derivative of e^ky = ke^ky
