Answer:
x = ± 10
Step-by-step explanation:
Given
x² - 100 = 0 ( add 100 to both sides )
x² = 100 ( take the square root of both sides )
x = ± ← note plus or minus, hence
x = ± 10
Which equation, in point-slope form, represents a line with m=1/6 that goes through the point (-5,4) ?
1 answer:
The equation for this line is y - 4 = 
(x + 5).
We already have all the information we need to write this equation in point-slope form. That's because all you need to write an equation in point slope form is the slope and the coordinates of one point. Since we have that, w+ e can start making the equation. The equation of a line in point-slope form is written as:
y₁ - y = m(x₁ - x)
In this equation, (x, y) is the coordinate of the point we know and m is the slope. Substituting all the values gives us our answer of: y - 4 =(x + 5).
We already have all the information we need to write this equation in point-slope form. That's because all you need to write an equation in point slope form is the slope and the coordinates of one point. Since we have that, w+ e can start making the equation. The equation of a line in point-slope form is written as:
y₁ - y = m(x₁ - x)
In this equation, (x, y) is the coordinate of the point we know and m is the slope. Substituting all the values gives us our answer of: y - 4 =
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Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is of:
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that
95% confidence level
So , z is the value of Z that has a p-value of
, so
.
Margin of error:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.