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:
y=1.2x-6
Step-by-step explanation:
place in the points
0=1.2(5)+b
distrubutive property
0=6+b
subtract 6 on both sides
-6=b
y=1.2x-6
Answer:
f(9)= -72
g(-9)= 225
Step-by-step explanation:
First put the original equation
f(x)=-7x-9
Next plug in the number f(9)
f(9)=-7(9)-9
After multiply -7(9) which gets you -63
f(9)=-63-9
Then subtract -63-9 which gets you -72
f(9)=-72
-----------------------------------------------------------
First put the original
g(x)=6x3-23x
Next plug in the number g(-9)
g(-9)=6x3-23(-9)
After multiply 6x3 which gives you 18 then multiply -23(-9)
g(-9)=18+207
then add 18+207 which gives you 225
g(-9)=225
1.1
×
2.4
____
44
+
22
____
.66
I think this is it I did this when I was in 5th grade so I don't remember that much might wanna check with an adult.
Answer: 
Step-by-step explanation:
By the Intersecting Secants Theorem, we know that:
Having this, we can find the value of "x" by solving for "x":
Applying Distributive property:
Subtract 25 from both sides of the equation:
And finally dviding both sides of the equation by 5, we get:
