<h3><u>The value of x is equal to 1.</u></h3><h3><u>6(x + 2) = 20x - 2</u></h3>
<em><u>Distributive property.</u></em>
6x + 12 = 20x - 2
<em><u>Add 2 to both sides.</u></em>
6x + 14 = 20x
<em><u>Subtract 16x from both sides.</u></em>
14 = 14x
<em><u>Divide both sides by x.</u></em>
x = 1
Explanation:
The point of a reflecting telescope is to reflect the light toward the eyepiece. That's what each reflecting surface does. By arranging the locations of the foci in the manner described, the light path is made to go from one focus to another, and finally to the focus at the eyepiece location.
Each conic surface is a reflecting surface that reflects the light closer to the eyepiece.
Answer:
And the 95% confidence interval would be given (0.419;0.481). And the best option would be:
b. .419 to .481
Step-by-step explanation:
We know the following info:
sample size selected
represent the number of people who favored Candidate AT
The sample proportion would be:
The confidence interval would be given by this formula
For the 95% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.419;0.481). And the best option would be:
b. .419 to .481
Answer:
6.32
Step-by-step explanation:
The x difference:
-5 - -3 = -2
The y difference:
-2 - 4 = -6
Distance:
-6² + -2² = 40
√40 ≅ 6.32
==> list the factors of the first number
==> list the factors of the second number
==> list the factors of the third number
==> find the factors that are on all three lists
==> the biggest one of these is the greatest common factor of the original three numbers
