Answer: 232
Step-by-step explanation:
Surface area = everything multiplied x 2
Using the expected value of a discrete distribution, it is found that the amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
<h3>What is the expected value of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, considering 6 out of 6^2 = 36 outcomes are doubles, we have that the distribution is:
P(X = 5) = 1/6.
P(X = x) = 5/6.
A fair game means that the expected value is of 0, hence:
The amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
More can be learned about the expected value of a discrete distribution at brainly.com/question/24855677
11,000 x 16%= $1,750 x 4= $7,040
11,000 - 7,040 = $3,960 is worth after 4 years
To find the end behavior of a function, we find it's limits as x approaches infinity, getting the correct option as:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
Function:
The function given is:
Limit as x goes to infinity:
To find the limit of a function as x goes to infinity, we consider the term with the highest exponent in the numerator and in the denominator. So
The graphic of the function, given at the end of this answer, corroborates the answer.
Thus, the correct option is:
As x approaches plus-or-minus infinity = limit of StartFraction 4 Over x Superscript 5 EndFraction as x approaches plus-or-minus infinity, so as x approaches infinity, g (x) approaches 0.
For more on limits as x approaches infinity, you can check brainly.com/question/12207599.