Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
To write the equation of the inequality, use the linear equation form y = mx + b. The y-intercept is b and is where the line intersects the y-axis. Here b = 3. You can find the slope m by counting between points the vertical and horizontal distances. Here it is 1/2. Substitute m = 1/2 and b = 3.
y = 1/2x + 3
Since this is an inequality and a solid line has been used, you must use ≤ and ≥. To determine which is for this equation, test the point (0,0) in each.
y ≤ 1/2x + 3 y ≥ 1/2x + 3
0 ≤ 1/2(0) + 3 0 ≥ 1/2(0) + 3
0 ≤ 3 True 0 ≥ 3 False
Since (0,0) is a part of the set of solutions, the equation which is true is the correct equation.
Pythagorean stack i believe its 23 on the side
Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
In this problem, the parameters are given as follows:

Hence, the bounds are given by:


The lower bound is below 0.5, hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
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<span>F(x)=-3x-5 and g(x) =4x-2 find (f-g)(x)
</span>(f-g)(x) = -3x-5 - (4x-2)
(f-g)(x) = -3x -5 -4x + 2
(f-g)(x) = -7x -3
hope that helps
The graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
<h3>How to Graph a Linear Equation?</h3>
The slope (m) and the y-intercept (b) of a linear equation can easily be determined by writing a linear equation in slope-intercept form, y = mx + b.
The slope of the line is the rise/run, while the y-intercept tells us at what point on the y-axis the line intercepts.
Rewrite 3x + 5y = 12, in slope-intercept form:
5y = - 3x + 12
y = -3/5x + 12/5
The slope of the line of the equation is -3/5 while the y-intercept is 12/5.
Therefore, the graph of the equation, 3x + 5y = 12, is the graph attached in the image below.
Learn more about the graph of a linear equation on:
brainly.com/question/14323743
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