Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
The time taken for the population of the pig to reach 1000 will be almost four years.
<h3>What is a function?</h3>A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Six guinea pigs are released in an area with no natural predators.
The guinea pig population quadruples every year.
Write a function P that represents the guinea pig population at a given time T measured in years.
Then the function will be
Then the inverse function of P will be
Then the time taken for the population of the pig to reach 1000 will be
More about the function link is given below.
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Answer:
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:
Step-by-step explanation:
For this case we know that the initial volume of water is:
And we know that the level is decreasing 20% each day so then we can use the following model for the problem
Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got: