Answer:
(x - 1)² = 0
Step-by-step explanation:
Given
x² - 2x + 1 = 0 ( subtract 1 from both sides )
x² - 2x = - 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = - 1 + 1
(x - 1)² = 0
 
        
             
        
        
        
Answer:
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

 
 
And the 90% confidence interval would be given (0.131;0.169).
Step-by-step explanation:
We have the following info given:
 represent the sampel size slected
 represent the sampel size slected
 number of students who read above the eighth grade level
 number of students who read above the eighth grade level
The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

The confidence interval for the proportion  would be given by this formula
 
For the 90% confidence interval the significance is  and
 and  , with that value we can find the quantile required for the interval in the normal standard distribution and we got.
, with that value we can find the quantile required for the interval in the normal standard distribution and we got.
 
And replacing into the confidence interval formula we got:
 
 
And the 90% confidence interval would be given (0.131;0.169).
 
        
             
        
        
        
Answer:
y = - 2x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute (5, 2) into the partial equation
2 = - 10 + c ⇒ c = 2 + 10 = 12
y = - 2x + 12 ← equation of line