Answer:  90% confidence interval is; (  - 0.0516, 0.3752 )
  
Step-by-step explanation: 
Given the data in the question;  
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75 
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
 SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645   { from standard normal table}
so
93% CI is; 
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad<  (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad<  0.1618 + 0.2134
⇒ - 0.0516  <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; (  - 0.0516, 0.3752 )
 
        
             
        
        
        
Wait do you need help or no
        
             
        
        
        
Answer:
If this is a 6 sided fair die, P = 1/3
Step-by-step explanation:
Fair means you have an equal chance of getting each option. P(3 and 4) = P(3) + P(4) = 1/6 + 1/6 = 2/6 = 1/3.
 
        
             
        
        
        
The remainder is 110 when  is divided by x-4
 is divided by x-4
Step-by-step explanation:
We need to find the remainder when  is divided by x-4
 is divided by x-4
Solving:
The solution is attached in the figure below.
The quotient is: 
The remainder is: 110
Keywords: quotient, division
Learn more about Division and quotient at:
#learnwithBrainly
 
        
             
        
        
        
Hey there! :D
Pay attention to the given angles. 
We know that a circle is equal to 360 degrees. 
We know two angles, and the other 2 are the same measure. 
170+44= 214
Subtract that from 360, since that is what the circle equals. 
360-214= 146
Divide that by two, since there are 2 equal angles left. 
146/2= 73
<DOB= 73 degrees. 
You were correct, so good work!
I hope this helps!
~kaikers