Answer:
The equation of the line is y = -5/2x + 25/2
Step-by-step explanation:
To find the equation of the line, we first need the slope. We can get that by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 0)/(3 - 5)
m = (5)/(-2)
m = 5/-2
m = -5/2
Now that we have the slope, we use the slope and the given point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y - 0 = -5/2(x - 5)
y = -5/2x + 25/2
Y increases by 8 as x increases by 2 so the relationship is linear with slope 4. That is y=4x+c and 7=-20+c, so c=27.
The relationship seems to be y=4x+27. The only point to fit this equation is (1,31), Answer 3
That would be b
hope this helps
Answer:
the line is horizontal
Step-by-step explanation:
Note the y- coordinates of the 2 points the line passes through are equal.
This indicates that the line is horizontal and parallel to the x- axis
The equation of a horizontal line is y = c
where c is the value of the y- coordinates the line passes through.
Here the y- coordinates are 30, hence
Equation of horizontal line is y = 30
Answer:
Check Explanation.
Step-by-step explanation:
The sample will be a representative of the entire build us in the city.
For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %
The uncertainty in the estimate is given in the form of standard error.
Standard error = √[(p(1-p)/n]
n = sample size = 35, p = 0.0857, 1 - p = 0.9143
Standard error of the sample = √(0.0857×0.9143/35) = 0.1616
In terms of the population, (0.1616/35) = 0.00462
Proportion of buildings with fire code violations = (8.57 ± 0.462) %