The sequence is increasing by the previous number multiplied by negative 3 (x -3). With this information, the correct answer would be A. -648, 1944, 5832
Answer: 5/6
Step-by-step explanation: its because it has a 5/6 chance to not land on 2 if i were to roll a die and ExPeCt to land on a 2 it would be 1/6
so the answer is "the probability is 5/6 chance"
The third one is the correct answer
Answer:

Step-by-step explanation:
We know that:
In a deck of 52 cards there are 4 aces.
Therefore the probability of obtaining an ace is:
P (x) = 4/52
The probability of not getting an ace is:
P ('x) = 1-4 / 52
P ('x) = 48/52
In this problem the number of aces obtained when extracting cards from the deck is a discrete random variable.
For a discrete random variable V, the expected value is defined as:

Where V is the value that the random variable can take and P (V) is the probability that it takes that value.
We have the following equation for the expected value:

In this problem the variable V can take the value V = 9 if an ace of the deck is obtained, with probability of 4/52, and can take the value V = -1 if an ace of the deck is not obtained, with a probability of 48 / 52
Therefore, expected value for V, the number of points obtained in the game is:

So:

Alright, the first thing we should have to do is find the total cost per year of his insurance. To do that, we multiply $96.21 by the 12 months in a year to get $1154.52. This is the cost of his insurance per year.
Next, we need to find out how much his boss covers, which we know is 85% of the total cost. SO what we can do is multiply the yearly cost ($1154.52) by the percent his boss covers (.85) to get $981.342. This is how much his boss covers per year.
Lastly, to find out how much Derek pays for insurance yearly, we just need to subtract how much his boss pays ($981.342) from the total yearly cost ($1154.52), which leaves us with $173.178, which is how much Derek pays yearly for his insurance, which should be your answer.