Answer:
16.7%.
Step-by-step explanation:
There are initially
pencils in the bag.
Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let
represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:
.
There are now
pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let
represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:
.
The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:
.
The best way to solve this problem is by plugging in each answer choice for both equations and seeing which one works. You can already see that choice A doesn't work because -1 is not greater than or equal to 4. That means you just need to test choices B and C!
Choice B (4, -2)

2 is not greater than or equal to 6, so choice B doesn't work.
Choice C (4, 2)

Since 6 is equal to 6 and 4 is equal to 4, choice C works!
-------
Answer: C) (4, 2)
Hey!
Let's write it,

Add

to both sides,


Subtract

from both sides.


Since we don't want a negative variable, we have to divide both sides by

.

Our answer would be,

Thanks!
-TetraFish
Yes that is true, all opposite sides would be parallel, and all the corners are 90 degrees, then yes it is true