Answer:
1.83% probability there are no car accidents on that stretch on Monday
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.
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.
This means that 
What is the probability there are no car accidents on that stretch on Monday?
This is P(X = 0).


1.83% probability there are no car accidents on that stretch on Monday
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
The surface area of a sphere is given by

We deduce

So, in your case, the radius is

The volume of a sphere is given by

So, we have

Answer:
The solutions of the system of equations are the points
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by substitution
substitute equation B in equation A

solve for x


The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
----->
----->
<em>Find the values of y</em>
For
---->
For
---->
therefore
The solutions of the system of equations are the points


There will be 9 trips the ferry makes and on the last trip there will be 5 cars on the ferry.