a yard is equal in lenght to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in
feet (as output)
1 answer:
The value of is B. 46.2.
Step-by-step explanation:
Step 1:
f(x) is dependent on the value of x.
So x is independent while f(x) is dependent on x i.e. the value of f(x) depends on the value of x.
Step 2:
So if we have the value of x we can calculate the value of f(x). Here the value of x is given as 15.4 so f(x) when x equals 15.4 can be calculated.
So the value of f(15.4) is 46.2 which is option B.
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Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:
If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is . So:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Answer:
If you center the series at x=1
Where is the error.
Step-by-step explanation:
From the information given we know that
(This comes from the chain rule )
(This comes from the chain rule and the product rule)
(This comes from the chain rule and the product rule)
If you center the series at x=1 then
Where is the error.