PLEASE HELP 15 points!! Todd has created the following diagram to prove the Pythagorean theorem. He drew right ABC with leg leng
ths a and b and hypotenuse length c. Then he drew altitude CZ to the hypothenuse. He determines that c/a=a/x and c/b = b/y. Then he determines that cx=a2 and cy = b2. What is the next step in proving the theorem?
2 answers:
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Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used 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.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that
Suppose that sixteen adults in the United States are selected randomly.
This means that
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
In which
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
1) The first thing we need to do is to find the total number of visitors. This is going to be our Sample Space
31+26+2=31+28=59 Visitors altogether
2) The next thing to do is to find the favorable event. Note that we can see that 26 people purchased only one costume.
3) The final and last step is to find the probability, so we can write out the following:
Thus, this is the answer: 0.90