Answer:
The length of a rectangular garden is: 13 feet
Step-by-step explanation:
You have 2 lengths that are 2x-3 feet, and 2 widths that are x.
2x-3 + 2x-3 +x +x =42 feet
4x -6 +2x -42 feet
6x -6 = 42 feet
6x = 48 feet
x = 8 feet (so, 2x-3 = 16-3 = 13 feet)
 
        
             
        
        
        
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation  into the above equation
 into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!
 
        
             
        
        
        
Answer:
D. There were no significant effects.
Step-by-step explanation:
The table below shows the representation of the significance level using the two-way between subjects ANOVA.
Source of Variation            SS          df          MS          F                P-value
Factor A                             10          1              10           0.21           0.660
Factor B                             50         2             25          0.52          0.6235  
       
A × B                                  40          2             20         0.42           0.6783
Error                                   240        5             48           -               -
Total                                   340       10             -             -                  - 
From the table above , the SS(B) is determined as follows:
SS(B) = SS(Total)-SS(Error-(A×B)-A)
          =  340-(240-40-10)
          = 50
A researcher computes the following 2 x 3 between-subjects ANOVA;
k=2
n=3
N(total) = no of participants observed in each group =11
df for Factor A= (k-1)
=(2-1)
=1
df for Factor B = (n-1)
=(3-1)
=2
df for A × B     
  = 2 × 1
  = 2
df  factor for total
=(N-1)
=11-1
=10
 
MS = SS/df
Thus, from the table, the P-Value for all data is greater than 0.05, therefore we fail to reject H₀.
 
        
             
        
        
        
Answer:
Ratio
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
thanks 
Step-by-step explanation:
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