Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> 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 9 rolls, hence  . .
- Of the six sides, 2 are 3 or 4, hence  
The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
 
        
             
        
        
        
Answer:
0
Step-by-step explanation:
Use two-point form to find the slope.
m=y2-y1/x2-x1
m=0-0/10-5
m=0/5
 
        
             
        
        
        
You haven't told me what the question is.  But I put the mouse 
to my forehead, closed my eyes, took a deep breath, and I could 
see it shimmering in my mind's eye.  It was quite fuzzy, but I think 
the question is 
                   "What score does Andrew need on the next test 
                     in order to raise his average to 72% ?" 
The whole experience drew an incredible amount of energy 
out of me, and the mouse is a total wreck.  So we'll just go ahead 
and answer that one.  I hope it's the correct question.
The average score on 4 tests is
                                     (1/4) (the sum of all the scores) .
In order for Andrew to have a 72% average on 4 tests,
the sum of the 4 scores must be
                                         (4) x (72%)  =  288% .
Out of that total that he needs, he already has  
                            (64% + 69% + 73%) = 206%
on the first three tests.
So in order to average 72% for all 4 tests,
he'll need to score
                             (288%  -  206%)  =   82%
on the fourth one. 
        
             
        
        
        
Answer:
   see below
Step-by-step explanation:
Each segment in ΔA"B"C" is 3 times the length of the corresponding segment in ΔABC. This is due to the dilation by a scale factor of 3.
Then you have ...
   
The latter relation matches the second choice.
 
        
                    
             
        
        
        
Sorry I was moving around taking the picture and my handwriting is sloppy. But I hope you understand how I got the answer