2^4-8x2/4 (PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
first you want to do exponents.. so 2x2x2x2 = 16
then you want to do multiplication so.. -8x2 = -16
now you have.. 16-16/4 .. then you want to do division so divide -16 by 4 and get -4
then you're left with 16-4 which is 12
THE ANSWER IS 12
It will just be 2 since 10 goes into 20 2 times
Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
The probability is 1/5, or 20%.
Explanation there are only 2 numbers on the die divisible by 4, those being 4 and 8, therefore 2/10 which simplifies to 1/5 or 20% I hope this helps :)
