Answer:
72
Step-by-step explanation:
To do these, you have to place the entire function inside the parent function's variables.
You are inputting the value of the function g(x) into f(x)
Maria and her friends eat pizza for lunch.
1 answer:
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Answer:
1.3125
Step-by-step explanation:
Given that our random variable follows a Poisson distribution
Evaluate the formula at
#since
The mean and variance of the Poisson distributed random variable is equal to :
#By property variance:
The expectation is 1.3125
Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.