Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So
In which
So
0.006% probability that the final vote count is unanimous.
Answer:
50 years
Step-by-step explanation:
the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.
brainliest pls
Answer:
- (1) and (3) are correct options
Step-by-step explanation:
- NOT is coded as LKF
- FLY is coded as TNA
<u>Using alphabet, we can see that:</u>
NOT = 14, 15, 20 ⇔ 13+1, 13+2, 13+7 ⇒ LKF = 12,11,6 = 13-1, 13-2, 13-7
Coding for each letter is 13 + x ⇒ 13 - x
(1) TOP ⇒ FKJ
- TOP = 20,15,16 ⇒ 13-7, 13-2, 13-3 = 6,11,10 = FKJ
- Correct
(2) RUN ⇒ IFM
- RUN = 18,21,14 ⇒ 13-5,13-8,13-1 = 8,5,12 = HEL ≠ IFM
- Incorrect
(3) MUG ⇒ MES
- MUG = 13,21,7 ⇒ 13+0, 13-8, 13+6 = 13,5,19 = MES
- Correct
(4) HOT ⇒ RKG
- HOT = 8,15,20 ⇒ 13+5,13-2, 13-7 = 18,11,6 = RKF ≠ RKG
- Incorrect
