Answer:
1. c 2. a 3. b
Step-by-step explanation:
Answer:
The answer is
<h2>7.61 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-1) and (4, 2).
The distance is

We have the final answer as
<h3>7.61 units to the nearest hundredth</h3>
Hope this helps you
Answer:
8.81% probability that the student answers exactly 4 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering 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.
A multiple choice exam has ten questions.
This means that 
The probability of answering any question correctly is 0.20.
This means that 
What is the probability that the student answers exactly 4 questions correctly
This is P(X = 4).


8.81% probability that the student answers exactly 4 questions correctly
54000
54 x (10^3) = 54000