Answer:
<h2>
0.05543</h2>
Step-by-step explanation:
The formula for calculating the margin of error is expressed as;
where;
z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)
p is the percentage probability of those that watched network news
p = 40% = 0.4
n is the sample size = 300
Substituting this values into the formula will give;

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543
Answer:
-3(4c-2) -2c = -14c+6
Step-by-step explanation:
We need to find the equivalent expression for -3(4c-2) -2c.
First we open the brackets as follows :
-3(4c-2) -2c
= -12c+6-2c
=-12c-2c+6
=-14c+6
So, the equivalent expression is -14c+6.
Answer:
C. The line does not go through the origin.
Step-by-step explanation:
We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).
Now we need to decide why that graph doesn't represent a direct variation.
We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.
Correct choice is :
<u>C. The line does not go through the origin.</u>
First set it up like this:

<span>then add a zero on to the 18 and a decimal point like this: </span>

then solve for 180/32 and add a decimal in the same location that it is in the 18.0 Hope this helps!
Answer:
C (x, y) -> (x + 7, y + 8); scale factor = 3
Step-by-step explanation:
The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.
__
<h3>translation</h3>
We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...
I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)
(x, y) ⇒ (x +7, y +8)
<h3>scale factor</h3>
The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.
The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...
scale factor = 6/2 = 3