Start with y = mx + b. Subst. -34 for m and 5 for b: y = -34x + 5
Answer: 0.0158
Step-by-step explanation:
Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.
According to the given information we have,
Sample size : n= 1000
Sample proportion: 
The standard error for proportion is given by :-




[Rounded to the nearest four decimal places.]
Hence, the standard error for the confidence interval = 0.0158
Step-by-step explanation:
This is a linear equation in slope intercept form which is

where m is the slope and b is the y intercept.
The equation

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.
In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.




<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
This is a typical algebra problem pretending to be geometry. The two indicated angles are supplementary, adding to 180 degrees, precisely when the lines are parallel.
It's not really indicated, but the 8 and the 2 are in units of degrees.
6x + 8 + 4x + 2 = 180
10x = 170
x = 17 degrees