Answer:
B. False
Step-by-step explanation:
According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side). 
So   should equal
  should equal  
- <em>We also know that   </em> </em>
Hence,   , and
  , and 
 
 
They ARE NOT EQUAL, so the triangle is NOT a right triangle.
 
        
                    
             
        
        
        
Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
 
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let  be the population mean .
 be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content: 
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
 
        
             
        
        
        
9514 1404 393
Answer:
Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
   1 cherry and 7 sweet potato for $114   ⇒   C +7S = 114
   14 sweet potato and 11 cherry for $309   ⇒   11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
__
The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
   (11C +14S) -2(C +7S) = (309) -2(114)
   9C = 81 . . . . . simplify
   C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
 
        
             
        
        
        
3 times 12 then 3 times 20 
3 x 12 = 36
3 x 20 = 60 
60 + 36 = 96 
96 ÷ 8