Amazon wants to perfect their new drone deliveries. To do this, they collect data and figure out the probability of a package arriving damaged to the consumer's house is
0.23. If your first package arrived undamaged, the probability the second package
arrives damaged is 0.13. If your first package arrived damaged, the probability the
second package arrives damaged is 0.04. In order to entice customers to use their
new drone service, they are offering a $10 Amazon credit if your first package arrives
damaged and a $30 Amazon credit if your second package arrives damaged. What is
the expected value of your Amazon credit? Draw a tree diagram to help you.
$5.44
O $7.70
O $5.58
$6.20

Step-by-step explanation:

1) GCF = Greatest common factor which would be 6x so lets get started.

now we solve this with by quadratic formula.

so a=1 , b=6, c =8

and we get two values of x which is

but in the question it says we will end up with 3 solutions. Our third solution is actually

because we took 6x common as the greatest common factor so

so now we have 3 solutions

2) (x-9)(4x+1)=0

since this equation is already in root form we equate each root to 0

so our solutions are x=9 and x=-1/4

3)

now since we need to solve using square roots we apply square roots on both sides

since when we take the square root of a number we get positive and negative of that number example here

x+5=±12

so

x+5=12 and x+5=-12

x=7 and x=-17

4) Difference of two squares means we just need to factorize it in root form so lets begin,

now if we see this expression can be written like this as well

and if we expand this into the difference formula which is

we get

where a is 2x and b is 7