Every 1 minute, you multiply the mass by 27.7% or 0.277
after 1 minute, you multiply once
after 2 minutes, you multiply twice
3, thrice
etc
so after 13 minutes, you multiply 13 times or 0.277^13
so what is 970g *0.277^13 =?
        
                    
             
        
        
        
Answer:
a) P-value = 0.0968
b) P-value = 0.2207
c) P-value = 0.0239
d) P-value = 0.0040
e) P-value = 0.5636
Step-by-step explanation:
As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.
For this type of test, the P-value is defined as:

being z* the value for each test statistic.
The probability P is calculated from the standard normal distribution.
Then, we can calculate for each case:
(a) 1.30

(b) 0.77

(c) 1.98

(d) 2.65

(e) −0.16

 
        
             
        
        
        
Answer:perpendicular bisector theorem
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Option (1)
Step-by-step explanation:
In the figure attached,
BC is the angle bisector of angle ACD.
To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.
Since BC ≅ BC [Reflexive property]
∠ABC ≅ ∠CBD ≅ 125°
And sides AB ≅ BD 
Both the triangles will be congruent.
Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).
Therefore, Option (1) will be the answer.