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
Answer:176.6cm2
Step-by-step explanation:
Pi*r^2
diameter is 15
divide by 2 is radius
Hey! Statement 1 is false because the domain of f is all real numbers since the function is quadratic.
Statement 2 is true.
Statement 3 is true because when we graph f, it is a parabola opening upwards with vertex (3, -1). Since it is opening upward, then the value of x from -∞ to 3 is decreasing while increasing from 3 to ∞.
Statement 4 is false because we just stated above that f is decreasing from -∞ to 3. Hence, f is also decreasing from -1 to 3. Hence, f is not increasing from -1 to ∞.
Statement 5 is false because the axis of symmetry is x = 3.
Statement 6 is true.
Hope this helps! :)
16.454 because there is an extra 4 after the 5