Answer:
Perimeter of Triangle: 

Step-by-step explanation:
The perimeter is the sum of all of the sides of the triangle.
Hence, the perimeter 
Since the perimeter is 90,
.
Subtract 15 from both sides:


Divide both sides by 6:


Answer:

Step-by-step explanation:
The probability for a flip on either side of the coin is always 50% or 
So to get the probability for the three flips just do:
or
×
× 
Either way you solve it the answer is 
Answer:
$37.97
Step-by-step explanation:
The price of the shoes before tax is 100% of the price of the shoes.
Then the tax adds 5.5% of the price of the shoes to the price of the shoes.
He ends up paying 100% + 5.5% of the price of the shoes.
100% + 5.5% = 105.5%
Now we find 105.5% of $35.99.
105.5% of $35.99 = 1.055 × $35.99 = $37.96945
Answer: $37.97
The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is

The distribution is graphed as shown below.
Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.