So the -4x is the M and then 6 is the B. So m is the slope and B is the y-intercept. The 6 goes on the y axis and the -4 will be how the line looks. It’ll be rise (-4) over run (1).
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1)
1 answer:
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is , then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:
To solve for , we plug in the coordinates of the point that we know the line runs through,
:
Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:
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A statistics student would like to estimate the average age of students at her college. she would like to be 85% confident that her estimate includes the actual college population mean
It means confidence level is 0.85.
After taking survey the estimate of population standard deviation is found as 4.5 years. The given margin of error is 0.5 years
The sample size is obtained using formula
n=
Where std = standard deviation
alpha = 1 -c = 1-0.85 = 0.15
z(α/2) = z(0.15/2) = z(0.075)
It is the critical value of z such that area above z and below -z is 0.075
Use z score table to find the probability exactly or very close to 0.075 and note the corresponding z score value.
In z score table there is no accurate 0.075 probability value. The close value is 0.0749 which corresponds to z score -1.44
For calculation we take positive z score value.
So we get z(α/2) =1.44
Using all the given values into formula
n = [(1.44 * 4.5) / 0.5]^2
n = 167.96
Rounding it to nearest integer we get n=168
The number of people need to surveyed is n=168
