A line parallel to one side of a triangle divides the other two sides proportionally true or false?
1 answer:
You might be interested in
Answer:
The value of x is:
Step-by-step explanation:
we have to use the quadratic formula to solve for x.
The equation is given as:
which could also be written as:
The quadratic formula for the quadratic equation of the type:
is given as:
Here we have:
a=4, b=-5 and c=8.
Hence, by the quadratic formula we have:
Hence, the value of x is:
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.