Answer:
16/33
Step-by-step explanation:
12C4(total possible outcomes)=495
Since there are 6 married couples there must be 6*[2C2×10C2]=270
must subtracted 15 since when there are 2 couples in a group would have doubled 270-15=255
the no of groupings with no married couples 495-255 =240
probability=no of favourable outcomes /no of possible outcome
probability=240/495= 16/33
 
        
             
        
        
        
Answer:
As per dot plots we see the distribution of prices is close but majority of prices are concentrated in different zones. So MAD would be more similar by the look.
<u>Let's verify</u>
<h3>Neighborhood 1</h3>
<u>Data</u>
- 55, 55, 60, 60, 70, 80, 80, 80, 90, 120
<u>Mean</u>
- (55*2+ 60*2+ 70+ 80*3 + 90+ 120)/10 = 75
<u>MAD</u>
- (20*2+15*2+5+5*3+15+45)/10 = 15
<h3>Neighborhood 2</h3>
<u>Data</u>
- 100, 110, 110, 110, 120, 120, 120, 140, 150, 160
<u>Mean</u>
- (100 + 110*3+ 120*3+ 140 + 150+ 160)/10 = 124
<u>MAD</u>
- (24+14*3+4*3+16*3+16+26+36)/10 = 20.4
As we see the means are too different (75 vs 124) than MADs (15 vs 20.4).
 
        
                    
             
        
        
        
I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where  and
 and  are the two numbers):
 are the two numbers):


We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:


To find  , substitute the value for
, substitute the value for  into one of the earlier equations:
 into one of the earlier equations:


The two numbers are 12 and 18.
 
        
             
        
        
        
Answer:
The average value of  over the interval
 over the interval ![[-2,5]](https://tex.z-dn.net/?f=%5B-2%2C5%5D) is
 is  .
.
Step-by-step explanation:
Let suppose that function  is continuous and integrable in the given intervals, by integral definition of average we have that:
 is continuous and integrable in the given intervals, by integral definition of average we have that:
 (1)
 (1)
 (2)
 (2)
By Fundamental Theorems of Calculus we expand both expressions:
 
 
 (1b)
 (1b)
 
 
 (2b)
 (2b) 
We obtain the average value of  over the interval
 over the interval ![[-2, 5]](https://tex.z-dn.net/?f=%5B-2%2C%205%5D) by algebraic handling:
 by algebraic handling:
 ![F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)](https://tex.z-dn.net/?f=F%285%29%20-%20F%283%29%20%2B%5BF%283%29-F%28-2%29%5D%20%3D%2040%20%2B%20%28-30%29)



The average value of  over the interval
 over the interval ![[-2,5]](https://tex.z-dn.net/?f=%5B-2%2C5%5D) is
 is  .
.
 
        
             
        
        
        
I think it would be 23 bags without any cookies left over