STEP 1: Multiply second equation by -3.
After multiplying we have the following system:
3x+4y−3x+3y=8=−36
STEP 2: add the two equations together to eliminate x from the system.
7y=−28
STEP 3: find y
<u>y=−4</u>
<u></u>
STEP 4: substitute the value for y into the original equation to solve for x.
3x+4(−4)=8
<u>x=8</u>
45 minutes as you only have to divide 60 by 4 and then multiply it times 3
Here we are supposed to find the distance between the two points
Suppose A=(-8,-9), B=(-4,-10)
Now As per the distance formula we know that the distance between two points is given by the formula

Answer:
The probability that exactly 6 transactions will be made at an ATM in the next 20 minutes = 0.06306 = 0.0631 to 4d.p
Step-by-step explanation:
This is a Poisson distribution problem
The Poisson distribution formula is given as
P(X = x) = (e^-λ)(λˣ)/x!
where λ = mean = 10 transactions per 20 minutes
x = variable whose probability is required = 6 transactions in the next 20 minutes
P(X = 6) = (e⁻¹⁰)(10⁶)/6! = 0.06306