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:
(1,-1)
Step-by-step explanation:
The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.
That is also known as the intersecting points.
The top-right part is known as the 1st Quadrant in a coordinate system.
Top-left is 2nd Quadrant.
Bottom left is 3rd Quadrant.
Bottom right is 4th Quadrant.
The values of x and y (positive or negative) of each quadrant is shown below:
- Quadrant 1: x +ve, y +ve
- Quadrant 2: x -ve, y +ve
- Quadrant 3: x -ve, y -ve
- Quadrant 4: x +ve, y -ve
The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.
From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%
Answer:
- reflection across line m
- rotation about point A'
Step-by-step explanation:
The problem statement tells you exactly what the transformations are.
The first transformation is reflection across line m.
The second transformation is rotation about point A'.
_____
These are both rigid transformations, so ΔABC ≅ A'B''C''.
