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:
A.
Step-by-step explanation:
In the picture, the estimated slope goes down, so it has to be negative, eliminating 2, B and D
It isn't a gradual line, as 6x is, so that is eliminated.
When we look at the estimated line, we can count out on the grid 3 to the right and 4 down, doing that a few times. If you then connect the dots, it will be a line probably very close to your estimate.
7 is the independent variable in this equation because it is a constant, it does not change in any case.
Answer:
see explanation
Step-by-step explanation:
Note the common ratio r between consecutive terms of the sequence
r = 6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2
The explicit rule for a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 2, thus
= 3
← explicit rule
