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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Answer:
His score is increasing by four each time, so on his 9th quiz, his score will be 89
hope that helps!
Step-by-step explanation:
Answer:
y=2x-16
Step-by-step explanation:
So since we have a point and the slope, we can use the point-slope equation to find our equation of a line
y - y₁ = m(x - x₁)
Here our (x₁, y₁) point is (4, -8) and our m is 2
Plugging in these values to our equation gives us:
y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the 8 from both sides gives our equation of a line y = 2x - 16
Answer:
t= 2p+5/p-1
Step-by-step explanation:
The question is not well writen
Assume p = t+5/t-2
We are to make t the subject of the formula
Cross multiply
p(t-2) = t+5
pt - 2p = t+5
pt - t = 2p+5
t(p-1) = 2p+5
t= 2p+5/p-1
Hence the value of t is 2p+5/p-1
Answer:
To find the slope of a line using 2 points on that line, you use the equation <em>m = y₂ - y₁/x₂ - x₁</em>, where <em>(x₁, y₁) and (x₂, y₂) </em>represent 2 random points on the line.
