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:
8 and 4
Step-by-step explanation:
8+4= 12
8-4= 4
hope this helped♥
For this type of problem,
It is stated that the weight of steel is 32.6 lbs per foot
Meaning, every foot of steel beam weighs 32.6.
So 2 feet of steel beam would weigh 32.6 x 2 = 65.2 lbs
and 3 feet will be 32.6 x 3 = 97.8 lbs
Since we have a limit of 5000 lbs which is the capacity of the truck.
We can have an equation :
Where x is the number of foot
Solve the value of x by dividing both sides by 32.6 :
So the answer is 153.37 feet of steel beam
Answer:
The correct option is D
D) The graph of function f(x) is shifted right 3 units and up 4 units
Step-by-step explanation:
Lets the function be y = f(x)
To shift the graph 3 units to the right, we add -3 to the x term of the function:
Function becomes y' = f(x-3)
Then to shift the graph up by 4 units, we add -4 to the y term of the function:
Function becomes:
y - 4 = f(x-3)
y = f(x-3) +4
g(x) = f(x-3) +4
Hence the correct option is D, as the graph is shifted to the right by 3 units and also shifted up by 4 units
X + y = 8
y = 3
Well, because we know what y equals, we simply plug in 3 for y in the given equation.
x + y = 8
x + (3) = 8
Subtract 3 from both sides.
x = 8 - 3
So, x = 5
(5, 3)
Check work by plugging in x and y in the given equation.
x + y = 8
(5) + (3) = 8
8 = 8
So, our answer is (5, 3)
I am quite sure that you have given us the wrong equations, as none of these answers are correct.
~Hope I helped!~
