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: (3,45) and (15,9)
Step-by-step explanation:
LCM x HCF = 45*3 = 135
so, the pairs which has HCF as 3 and LCM as 45 are (3,45) and (15,9)
1-9 = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899. Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.
The 185th digit is 7.
Answer:
$20
Step-by-step explanation:
Broker's usually take a percentage of the money made or a fixed amount no matter how much is traded.
Here, the broker charges $10 per trade. So, it doesn't matter how much you do trade, the broker will charge $10 PER TRANSACTION.
Samantha bought stocks worth 2500 (1 transaction)
Samantha sold these again for 2750 (1 transaction).
So there were 2 trades made by Samantha.
So broker would charge $10 + $10 = $20
Answer:
X can be 2,3,4,5,6,7,8
Step-by-step explanation:
X is greater than or equal to 2 and less than or equal to 8
It can only be integers
X can be 2,3,4,5,6,7,8
