Answer:

Step-by-step explanation:
Given
 i.e. 10 people
 i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)


If the three are to be next to each other,
First, we arrange the three

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:

So, the total arrangement, when they have to be next to one another is:


The probability is:


Expand




Express as percentage


 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
The given relation is Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}
We can quickly recognize a pattern to write the equation of the given relation.
We can observe the following pattern among the x and y coordintaes.




We can see that the base of the powers on the right are the x-values of the relation and the values on the left are the y-values.
Hence, for any ordered pair (x,y), the equation is 

 
        
             
        
        
        
Answer:
729m³
Step-by-step explanation:
To find the length of one side find the cube root of 1728m³ 
³√1728=12metres
To find the length of the smaller cube
ratio 3:4. 
4/7=12m
3/7=?
 <u>3</u><u>/</u><u>7</u><u>×</u><u>1</u><u>2</u><u> </u>= 3/7×12×7/4
<u> </u><u> </u><u> </u>4/7
 =9metres
To find volume of the small cube
volume=9×9×9
 =729m³
 
        
             
        
        
        
Answer:
The answer to your question is letter C.
Step-by-step explanation:
A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.
B. The same as letter A. This option is wrong because that equation is of a horizontal parabola, an the graph shows a vertical parabola.
C. This option is correct, is the equation of a vertical parabola and the negative indicates that it opens downward, as in the graph.
D. This option is incorrect because the equation is of a vertical parabola that opens upward.
 
        
             
        
        
        
Answer:
x=4
Step-by-step explanation:
-4=-6x+20
-20      -20
-24=-6x
<u><em>x=4</em></u>