Answer:
8.81% probability that the student answers exactly 4 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. 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.
A multiple choice exam has ten questions.
This means that 
The probability of answering any question correctly is 0.20.
This means that 
What is the probability that the student answers exactly 4 questions correctly
This is P(X = 4).
8.81% probability that the student answers exactly 4 questions correctly
Yes, because 3 1/3 times 45 equals 150 which leaves 10 cups left over:
Answer:
$13.44
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Answer:
The listener is approximately 71.414 feet far from the whisperer.
Step-by-step explanation:
We must remember that two fundamental variables for every ellipse are the major semiaxis (
) and the minor semiaxis (
). The major semiaxis equals a half of the length of the whispering gallery, whereas the minor semiaxis equals a half of the width of the whispering gallery. These are:
and 
The distance between both whisperers (
), measured in feet, is two times the distance between center and any of the foci (
), measured in feet, whose valued is obtained by using this Pythagorean identity:
If and , then:
The listener is approximately 71.414 feet far from the whisperer.
