4.5
(0 + 1 + 5 + 3 + 3 + 3 + 0 + 2 + 2) / 9 = 2.1 recurring (that is, 2.1111...)
Two ways of looking at it. First is the law of adding exponents when you multiply terms. For example, 2^4 is 16, whereas 2^-4 is 1/16. Multiplying 2^4 by 2^-4 gives 2^0 when you add the exponents. But multiplying 16 by 1/16 gives 1. So 2^0 has to be 1. Another way is pattern matching. 3 to the power of 3 = 27. 3 to the power of 2 = 9. 3 to the power of 1 = 3. 3 to the power of 0 = ____ 3 to the power of –1 is 1/3. 3 to the power of –2 is 1/9. 3 to the power of –3 is 1/27. What goes in the blank ? Well follow the pattern. Every number on the right is the preivous number divided by 3. So it has to be 1. Even 0^0 is defined to be 1 and not 0.
the mean is all of the numbers added up together, then that divided by the amount of numbers there is: 0+1+1+3+2+0+1= 8 Then: 8 divided by 7 = 1.142857143 ( 1.142 )
12/6 = 2
1 - P (1 or 0) = 1 - P(1) - P(0) = 1 - ((4 above 1) * 0.5 * 0.5^3) - ((4 above 0) *0.5^4) = 1 - (4/16) - (1/16) = 1- (5/16) = 11/16
3
If you mean: (3x-1)(x+1) = 0, then it is 3x squared+2x-1 = 0. Its solutions are: x = 1/3 or x = -1.
A45C in hex = 10*16^3 + 4*16^2 + 5*16^1 + 12*16^0 = 42076 in decimal.In octal, this is 1*8^5 + 2*8^4 + 2*8^3 + 1*8^2 + 3*8^1 + 4*8^0 ie 122134.
The dental formula for rats is 2(I 1/1, C 0/0, P 0/0, M 3/3) = 16 teeth. This means they have two pairs of incisors, three pairs of molars, and no canines or premolars in their mouths.
I'm going to list them all in sets of (Q, D, N, P), where Q = quarters, D = dimes, N = nickels, and P = pennies. (1, 0, 1, 1) (1, 0, 0, 6) (0, 3, 0, 1) (0, 2, 2, 1) (0, 2, 1, 6) (0, 2, 0, 11) (0, 1, 4, 1) (0, 1, 3, 6) (0, 1, 2, 11) (0, 1, 1, 16) (0, 1, 0, 21) (0, 0, 6, 1) (0, 0, 5, 6) (0, 0, 4, 11) (0, 0, 3, 16) (0, 0, 2, 21) (0, 0, 1, 26) (0, 0, 0, 31) Thus, there are 18 total combinations.
You can convert this to base ten by re-writing 3096 as a summation of hex powers: 3*16^3 + 0*16^2 + 9*16^1 + 5*16^0 = 12437 in base 10
If you mean 3/9 then it is 1/3