Answer:
7/10
Step-by-step explanation:
1/10 = 2/20
1/4 = 5/20
2/5 = 8/20
11/20 = 11/20
We can see that the next term is just 11/20 + 3/20, as 3/20 is added onto each of the next terms.
11/20 + 3/20 = 14/20, which can be simplified to 7/10.
Hope this helps!
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:

Answer:
(2)They are perpendicular.
Step-by-step explanation:
Y=8x+12
y=8(32)+12
y=256+12
y=268
y=8(24)+12
y=192+12
y=204
204+268=$472
The instructor makes $472 a month.
Is that meant to be 10 to the power of 6?
Assuming it is it would be 10×10×10×10×10×10.
This equals 1,000,000 so the answer is C.