Answer:
5
Step-by-step explanation:
 
        
             
        
        
        
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party 
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
A box plot is the diagrammatic representation of the five number summary. It includes 5 items:
The minimum.
Q1 = the first quartile or the 25% mark.
The median.
Q3 = the third quartile or the 75% mark.
The maximum.
Rearranging the data in ascending order, it becomes
169, 163, 153, 166, 149, 148, 146, 145, 152, 163
145, 146, 148, 149, 152, 153, 163, 163, 166, 169
Minimum = 145
Maximum = 169
Median = (152 + 153)/2 = 152.5
The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3
Q1 = 148
Q3 = 163
The diagram of the box plot is shown in the attached photo
 
        
             
        
        
        
Answer:
 =
= +
+ +
 +
Step-by-step explanation:
 =multiple ways to climb a tower
=multiple ways to climb a tower
When n = 1, 
tower= 1 cm  
 = 1
= 1 
When n = 2, 
tower =2 cm   
  = 2
= 2 
When n = 3,
tower = 3 cm 
it can be build if we use three 1 cm blocks
 = 3
 = 3 
When n = 4, 
tower= 4 cm 
it can be build if we use four 1 cm blocks
 = 6
 = 6
When n > 5
tower height > 4 cm 
so we can use 1 cm, 2 cm and 4 cm blocks
so in that case if our last move is 1 cm block then  will be
 will be 
 n —1 cm
if our last move is 2 cm block then  will be
 will be 
 n —2 cm
 if our last move is 4 cm block then  will be
 will be 
 n —4 cm
 
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= +
+ +
 +
 
        
                    
             
        
        
        
4(5x + 7) = 128 
First, I'd do distributive property and get: 
20x + 28 = 128 
Then, subtract 28 from each side. 
20x = 100 
Next, I'd divide 100 by 20 = 5 
x = 5 
4 *(5(5) + 7) = 128 
5 * 5 = 25
4 * (25 + 7)
4 * 32 = 128
Therefore, the perimeter = 2l + 2w 
l = 4 
w = 5x + 7 
BUT we know that x = 5 
w = 5(5) + 7 = 32
2(4) + 2(32) 
8 + 64 = 72 
Therefore, the perimeter would be 72 inches.