We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

Now we can replace the info we have to find the value of I so:

and we solve for I

So the final equation will be:
Step-by-step explanation:
To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.
=> 12C6 = 924.
However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.
=> 6C3 * 6C3 = 20 * 20 = 400
Hence there are 924 - 400 = 524 different ways.
Answer:
A
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
5 divided by 20 is what you need to do to get that
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512