The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)
<em><u>Recall:</u></em>
- The slopes of parallel lines are equal to each other.
- Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
- Point-slope form equation is:
where, 
is a point and m is the slope.
Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute = (1, -3) and m = 4 into :
Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
brainly.com/question/24907633
Answer:
Step-by-step explanation:
a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as
Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}
where
p1 = sample proportion of population 1
p2 = sample proportion of population 2
n1 = number of samples in population 1,
n2 = number of samples in population 2,
From the information given
p1 = 0.77
1 - p1 = 1 - 0.77 = 0.23
n1 = 58
p2 = 0.67
1 - p2 = 1 - 0.67 = 0.33
n2 = 70
Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}
= √0.1/(0.0031 + 0.0032)
= √1/0.0063
= 12.6
the standard error of the distribution of differences in sample proportions is 12.6
b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30
Answer:
261.3368
Step-by-step explanation:
If you would like to know the mean change in elevation per minute, you can calculate this using the following steps:
1200-foot ... 3 minutes
x-foot = ? ... 1 minute
1200 * 1 = 3 * x
1200 = 3 * x
x = 1200 / 3
x = 400-foot
The correct result would be 400-foot per minute.
The first answer is [7, (infinity symbol) )
the second one is (1, (infinity symbol) )
