the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x
1 answer:
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Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is:
Let's set it up like this:
Multiply both sides by
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
The variable
can be both positive or negative.
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />
Multiply both sides by
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
The variable
We have found successfully our answer.
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />