Answer: the first one :-)
Step-by-step explanation:
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
<h3>How to determine the expected value of a round</h3>
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:
brainly.com/question/15858152
Nonlinear because y is squared
First compute the area of the rectangle:

We have to find the radius of the circle:
circonférence of circle given radius is:

We get the equation:

Solving the above equation for r we get:

Compute the area of the circle like this:

The white area is the difference of the area of the rectangle and the area of the circle:
Answer:
y < - 6
Step-by-step explanation:
Given
- 2y > 12
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.
y < - 6