After paying 9 dollars for the pie, Jessica has 68 dollars left, how much money did she have before being the pie.
2 answers:
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The expected value of the game is its average earnings
- The expected value of a round is $2.23
- The expected value when the game is played 755 times is $1683.65
There are 12 cards with a value of 4 or less.
So, the probability of selecting a card with a value of 4 or less is:
The probability of selecting a card with a value more than 4 is the complement of the above probability.
So, we have:
The expected value is then calculated as:
Evaluate
Simplify
Hence, the expected value of a round is $2.23
<h3>The expected value when the game is played 755 times</h3>In (a), we have:
In probability, we have:
So, we have:
Hence, the expected value when the game is played 755 times is $1683.65
Read more about expected values at:
Answer:
(5,2) and (5,10)
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
substitute in the formula
solve for y
square both sides
square root both sides
therefore
The points are
(5,2) and (5,10)
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)