Maya runs 10 miles and 85 minutes at the same rate how many minutes would she take to run 8 Miles
1 answer:
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Let 
be the number of hours that the waitress works in the evening.
We know for our problem that she works
in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span>
<span>Since </span>
, we can rewrite our expression:
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:
hours.
We know for our problem that she works
</span>
<span>Since </span>
We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction:
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.