Answer:
The exponential model is 
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that 
and 
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of 
:
And by (2), we determine the value of 
:
The exponential model is .
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean 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>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
4 x 3 = 12
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Answer:It is important to record each transaction so Bob knows how much money is in his account. That prevents being overdrawn. Recording debits and deposits helps with budgeting. It is good to keep receipts in case of any bank errors.
Step-by-step explanation:
