Considering the probabilities of getting each question right, his expected score for the test is 90.8.
<h3>How to find Joe's expected score?</h3>
Joe's expected score is given by the sum of the expected score for each question.
We have that:
- He is sure of 12 answers, hence for each he expects 6 points.
- He randomly guesses on 9 problems, hence he is expected to have a 1/5 probability of earning 6 on them.
- For the other 4 problems, he has a 1/3 probability of earning 6 on them, as he will guess from 3 options as he eliminated 2.
Hence his expected score is given by:
E(X) = 12 x 6 + 9 x 1/5 x 6 + 4 x 1/3 x 6 = 90.8.
More can be learned about the expected score of a distribution at brainly.com/question/13617733
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71/2 can also be written as 15/2, so divide 15/2 by 3/4. When you divide fractions you flip the second fraction and multiply it, so now it would be 15/2 X 4/3, so you would get 60/6 which is 10!
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly, 
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence, 
= a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,
= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
Answer:
(2,0)
Step-by-step explanation:
point D is on point (2,0)
that is what it means
Your answer would be -3/4
