Answer:
Step-by-step explanation:
<u>Slope-intercept form</u> of a linear equation:
where:
- m is the slope
- b is the y-intercept
<u>Given equation</u>:
Therefore, comparing the given equation with the slope-intercept form:
- slope (m) = -2
- y-intercept (b) = -2
The slopes of <u>parallel lines</u> are equal.
Therefore, the slope of the new line is -2.
Substitute the given point (4, 5) and the slope m = -2 into the slope-intercept formula and solve for b:
Finally, substitute the found values of m and b into the formula to create the equation of the line that passes through the given point and is parallel to the given line:
Learn more about the slope-intercept form here:
brainly.com/question/27317293
brainly.com/question/28185014
This question has to do with slope. If two lines share the same slope but different points, then there are parallel. If their slopes are negative reciprocals (like -2 and 1/2), then they are perpendicular.
y = 3x - 7 and y = 3x + 1 have different points but both have a slope of 3, where y = mx+b,
m = slope. Therefore these two lines are parallel.
Answer:
The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022
Step-by-step explanation:
Upper Limit for 95% Confidence Interval can be calculated using p+ME where
- p is the sample proportion of defective gaming systems (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the statistic of 95% confidence level (1.96)
- p is the sample proportion (
- N is the sample size (1200)
Using the numbers we get:
ME=
≈ 0.007
Then upper limit for the population proportion is 0.015+0.007 =0.022
Answer:
17
Step-by-step explanation:
24-7
