Answer:
The expectation of the number of correct answers is 17.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

In this problem, we have that:
25 questions.
The student know the answer for 10 questions. So for these 10 questions, p = 1.
On the other 25-10 = 15, she will guess, which there is one correct answer out of 2 options(true/false), so p = 1/2 = 0.5. So

The expectation of the number of correct answers is 17.5
Answer:
The angle of elevation from the person is ~ 19.7 feet
Step-by-step explanation:
Call the distance from the person to the tree is A and the bird's nest to the ground is B (right angle side of right triangle)
The distance from the person to the bird's nest is the hypotenuse (call C) of the right triangle
To find the hypotenuse we take the square root of the sum of the squares of the two sides of the right angle.
<u><em>Pythagorean formula</em></u>
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Answer:
-3
Step-by-step explanation:
step one
step two
step 3
step bro
step person
step afganstan country
step on a bird
step
The GCF (greatest common factor) of 35 and 63 is 7.