Write an expression to represent the perimeter of a rectangle with the length of x -4 and width of 2x +8
1 answer:
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That line is in point-slope form:
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
Reciprocal:
Multiply by -1:
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
Negatives cancel out:
Distribute 1 into the parenthesis:
Subtract 2 to both sides:
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
Reciprocal:
Multiply by -1:
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
Negatives cancel out:
Distribute 1 into the parenthesis:
Subtract 2 to both sides:
Answer:
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
represent the families owned at least one DVD player
represent the total number of families
represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.286;0.562)