4girls and 8 boys are running for president or vice president of the student council find the probability that 2 boys are elected

2/3

Step-by-step explanation:

First lets find the denominator. 4+8=12

So the denominator will be 12.

Now for the numerator ...

There are 8 boys running and it is possible for two boys to be elected.

So lets use the 8 as our numerator.

Here is our probability of there being two boys elected.

8/12

But we can simplify it to 4/6 and again to 2/3

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752