Answer:
a) 3.47% probability that there will be exactly 15 arrivals.
b) 58.31% probability that there are no more than 10 arrivals.
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
e = 2.71828 is the Euler number
is the mean in the given time interval.
If the mean number of arrivals is 10
This means that
(a) that there will be exactly 15 arrivals?
This is P(X = 15). So
3.47% probability that there will be exactly 15 arrivals.
(b) no more than 10 arrivals?
This is
58.31% probability that there are no more than 10 arrivals.
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours
Answer:
see the explanation
Step-by-step explanation:
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
Part 1) we have
For x=0
substitute in the linear equation and solve for y
therefore
The y-intercept is the point (0,-6)
Part 2) Find the y-intercept of the function represented in the graph
Looking at the graph
For x=0
Find the value of y in the graph
The value of y is equal to y=1
therefore
The y-intercept is the point (0,1)
Answer: m = 11
Step-by-step explanation: Isolate the variable by dividing each side by facotrs that don't contain the variable.
Hope this helps you out! ☺
Answer:
The mass of amino acid present is 85 g
Step-by-step explanation:
From the question we are told that
The volume of the total parenteral nutrition is
Generally the volume of the amino acid present is
Generally
So the mass of amino acid present is 85g