9514 1404 393
Answer:
   3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
   A = LW = 12a^2
   P = 2(L+W) = 14a
Using the second equation, we can find L:
   L +W = 7a . . . . . divide by 2
   L = 7a -W
Substituting into the area formula gives the quadratic ...
   (7a -W)(W) = 12a^2
   W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
   (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
   W = 3a, L = 4a
   W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
 
        
             
        
        
        
10^-8 would be .000000001 I believe lightning would be the correct answer because .00000001 is bigger than 10^-8 hope this is correct 
        
             
        
        
        
Answer:
The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Step-by-step explanation:
The probability of a component passing the test is, P (S) = 0.79.
The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.
Three components are sampled.
Compute the probability of the test result as SFS as follows:
P (SFS) = P (S) × P (F) × P (S)
             
Compute the probability of the test result as SSF as follows:
P (SSF) = P (S) × P (S) × P (F)
             
Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
 
        
             
        
        
        
Answer:
this is 8 raise to power 18