Answer:
B and C
Step-by-step explanation:
- The answer in the attached file
Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?
1 answer:
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Answer:
a) The expected value is
b) The variance is
Step-by-step explanation:
We can assume that both marbles are withdrawn at the same time. We will define the probability as follows
#events of interest/total number of events.
We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is .
Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is . Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.
Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is . So, we define the following probabilities.
Probability of winning:
Probability of losing
Let X be the expected value of the amount you can win. Then,
E(X) = 1.10*probability of winning - 1 probability of losing =
Consider the expected value of the square of the amount you can win, Then
E(X^2) = (1.10^2)*probability of winning + probability of losing =
We will use the following formula
Thus
Var(X) =
Answer:
1. $67.72
2. It's correct.
Step-by-step explanation:
1.
bill: $68.89
discount: $10
tip: 15%
Calculate the total with the discount.
68.89-10=58.89
Now calculate 15% of that.
Convert 15% to decimal by dividing by 100
Multiply
Add this to the original amount.
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Calculate 20% of 148.25
Convert 20% to decimals by dividing by 100
Multiply
This is how much they will tip.
Add this to the original bill;