I think it May be b because it’s slope is rising by two
Solve for x in 2y = x + 1
x = 2y - 1
Substitute x = 2y - 1 into -2x - y = 7
-5y + 2 = 7
Solve for y in -5y + 2 = 7
y = -1
Substitute y = -1 into x = 2y - 1
x = -3
Therefore,
<u>x = -3</u>
<u>y = -1</u>
Answer:
1st and 3rd choices
Step-by-step explanation:
1st:
The graph follows the y=mx+b pattern, which if fits will always be a straight line.
This expression will be used throughout to explain answers.
3rd:
The y-intercept, or b, is -2. In the y-intercept, the x value is 0, so a point in the line is (0, -2).
The rest:
The 2nd is wrong because the y-intercept is -2. The line is two units below the origin when the x value is zero.
The 4th is wrong, because the slope, m, is 1/3, which is less than 3.
The 5th is wrong, because as explained in the 3rd choice, the y-intercept is -2, not 2.
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $20.8 and $21.4.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 21.1 - 0.3 = $20.8.
The upper end of the interval is the sample mean added to M. So it is 21.1 + 0.3 = $21.4.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $20.8 and $21.4.