Answer:
37.70% probability that the student will pass the test
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 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.
10 true/false questions.
10 questions, so 
True/false questions, 2 options, one of which is correct. So 
If a student guesses on each question, what is the probability that the student will pass the test?
37.70% probability that the student will pass the test
<u>Given</u>:
The given expression is 
We need to determine how the expression can be simplified.
<u>Simplifying the expression:</u>
Let us determine how the expression can be simplified.
The expression is given by
Applying the exponent rule that 
in the above expression, we get;
Adding the exponents, we get;
Again, applying the exponent rule 
, we get;
Thus, the simplified expression is 
Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Therefore, Option D is the correct answer.
Answer:
23/54 meters
Step-by-step explanation:
Assuming that the scale model is smaller, then the scale model should be 1/27th of the actual thing. Therefore:
11.5/27
= 23/54 meters tall
The answer is positive 1/5. Here is a tip, when reading a graph read from left to right. If it is going up to the right it is positive. If it goes down going to the right it is negative. Also think rise/run. Count how many times it goes up(or down) then count how long the line goes.
