Answer:
Yes, the sample has a bias
Step-by-step explanation:
Bias is the term used in statistics to describe a systematic distortion in the samples obtained for the parameter being estimated. It is evident by obtaining values higher or lower than that of the average population for the parameter being measured. As such the data is a misrepresentation of the population and cannot be trusted to give a good indices of things.
This sample has a bias because the concerned citizen opted to use a <em>convenience sampling</em> instead of using <em>random sampling</em>. In <em>random sampling</em>, every individual has an equal chance of being chosen which is unlike the <em>convenience sampling</em> when only a specific group of individuals can be chosen. In this case, the bias was introduced when the citizen went to stand outside the courthouse with his petition, the citizen should have taken samples across diverse geographical locations and professional institutions. The implication of this sampling is that a significant percentage of the population has been sidelined (considering they would not be in or around the courthouse) from the sampling and the sampling has been restricted to only those who have business around the courthouse. The result is that whatever samples he/she obtains will not be an accurate representation of the parameter being measure from the population.
<u>As such, the sampling technique is biased </u>
Answer:
27
Step-by-step explanation:
9+8+10=27
Answer: The graph in the bottom right-hand corner
(see figure 4 in the attached images below)
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Explanation:
Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.
Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.
After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.
Answer: y=2x+8
Step-by-step explanation:
(2,12)=(x1,y1)
(-7,-6)=(x2,y2)
(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m
y=mx+b
y=2x+b
insert (2,12) to y=2x+b
12=2*2+b
12=4+b
8=b
y=2x+8
∠A+∠B=∠ACD
So, ∠A=93-31=62°
I think it mean that, right?