Using the binomial distribution, it is found that:
The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 20 questions, hence
.
- Each question has 2 options, one of which is correct, hence

The probability is:

In which:







Then:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
60
Step-by-step explanation:
-5(-2-10)
according to pemdas...solve parenthesis first
-5(-12)
= 60
Answer:
44 degrees
Step-by-step explanation:
there's two ways u could do this. One is all triangles add up to 180 degrees. u simply ignore the outside angle of 136 degrees, and add 62 and 74, and u get 136. take 180-136, and u get 44.
Another way is all strait angles add up to 180 degrees. take 180-136, and u get 44 degrees
Hope this helps and have a nice day :) :) :)
Answer:
(x+3) and (x-6) are factors
Step-by-step explanation:
The given expression is :
x²-3x-18
We need to find the factors of the above expression.
We can solve it using middle term splitting. We find two integers such that there product is -18 and sum is -3. These two numbers can be -6 and 3.
x²-3x-18 = x²-6x+3x-18
= x(x-6)+3(x-6) [taking common terms]
= (x+3) (x-6)
Hence, the factors of the above expression is (x+3) and (x-6).
Answer:
The three sets of Pythagorean triplets such that each set has numbers less than 30 are 3, 4 and 5; 6, 8 and 10; 5, 12 and 13
Step-by-step explanation: