A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation form
ed by the string and the ground is 40°. Find the length of the string to the nearest foot.
A) 45 feet
B) 83 feet
C) 91 feet
D) 109 feet
A) 45 feet
B) 83 feet
C) 91 feet
D) 109 feet
2 answers:
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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.