X = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out.
Cost = 14.75x
Now to determine whether the cost would be equal, we need to set the two equations equal to each other.
105 + 9.50x = 14.75x
Now solve for x
105 = 5.25x
20 = x
<span>That's your answer.</span><span> They would have to rent 20 times to equal each other. </span>
Answer:
depending on what is happening then ye
Step-by-step explanation:
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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Answer:
(-12, 2).
Step-by-step explanation:
x^2 + 10x = 24
Divide the + 10 by 2 to give the following identity:
x^2 + 10x is equivalent to (x + 5)^2 - 25 so:
(x + 5)^2 - 25 = 24
(x + 5)^2 = 49
Taking square roots:
x + 5 = +/- 7.
x = -5 + 7 = 2
and x = -5 - 7 = -12.
