Answer:
0.0111% probability that he answers at least 10 questions correctly
Step-by-step explanation:
For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from 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.
A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.
This means that 
What is the probability that he answers at least 10 questions correctly?









0.0111% probability that he answers at least 10 questions correctly
It is 10x the value of the one in the thousands place
Answer:
A. x=13
Step-by-step explanation:

Answer:
and
.
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.


From equation (1), we will get:

Upon substituting this value in equation (2), we will get:





Now, we will substitute
in equation (1).



Therefore, the point
is solution for our given equation.
Answer:
The Width of the Rectangle =

Step-by-step explanation:
The area of the rectangle 
We are told that the width of the rectangle is equal to the greatest common monomial factor of 
Let us determine the greatest common monomial factor of 
Express each term as a product to pick out the common factors:

In the two terms, the common terms are 10 and
. Therefore their greatest monomial factor =
The Width of the Rectangle =
Recall: Area of a Rectangle =Length X Width
