Answer: 39
Step-by-step explanation:
180-(39+102)
180-141
39
 
        
                    
             
        
        
        
Answer:
69.3 is the answer 
 { Hello and welcome to Brainly :) i hope i helped }
 
        
                    
             
        
        
        
Answer:
a) H0 : P = 0.07 
    Ha : P ≠ 0.07 
b) p -value = 0.1770 
Step-by-step explanation:
P = 7% = 0.07 
x (result ) = 7 , n = 163 
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07 
Ha : P ≠ 0.07 
conduct a  Z- test statistic 
Z = ( p - P ) / 
   = ( 0.043 - 0.07 ) /  =  - 1.35
  =  - 1.35 
Critical value ( Z₀.₀₂₅ ) = ± 1.96 
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
              = 2 * P ( Z < -1.35 )
              = 0.1770 
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above ) 
 
        
             
        
        
        
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem
 
        
             
        
        
        
Answer:
none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)
Step-by-step explanation:

to simplify, cross multiply 
(1 · 5  =  3b · 4)
(5 = 12b)
divide both sides by 12 to isolate b,


 
None of the answers listed are equivalent to 5/12
 
 






