Answer:
 95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean,  = 14.8 feet
 = 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
 95% Confidence interval: 
 
  
Putting the values, we get,  
 
  
 
  
is the required confidence interval for the true mean length of rods.
 
        
                    
             
        
        
        
Do you have a picture?? Maybe? I’m not good at these
        
             
        
        
        
The entire angle is a 90 degree angle.
Subtract the entire angle from what is given to find x.
90-28=62
x=62
        
             
        
        
        
Answer:
46
Step-by-step explanation:
Let  represent a number with
 represent a number with  in the ten's position and
 in the ten's position and  is the one's position.
 is the one's position.
This means  actually has value of
 actually has value of  .
.
We are given the sum of those digits of  is 10; this means
 is 10; this means  .
.
It says if 18 is added to the number  , then the result is
, then the result is  .
.
So  has value
 has value  and
 and
 has value
 has value  .
.
We are given then:


Subtract  on both sides:
 on both sides:

Simplify:

Subtract  on both sides:
 on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable  and allow you to go ahead and solve for
 and allow you to go ahead and solve for  :
:


Divide both sides by 2:

Simplify:

If  and
 and  , then
, then  .
.   since 4+6=10.
 since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
 
        
             
        
        
        
Answer:
As this triangle is being transformed by rotation, the angles will stay same as well as the  sides and other details, if you are doing this on a coordinate plane, then the points of the triangle would be changed and nothing else
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Thank You!