Answer:
m = -3/5
Step-by-step explanation:
since both lines are given as "parallel", they will have the same slope, so we only need to solve for one.
we will put this equation into slope-intercept form to find the slope
3x + 5y - 16 = 0
3x + 5y = 16
5y = -3x + 16
y = -3/5x + 16/5
m = -3/5
Answer:
Step-by-step explanation:
dy/dx=(y2-y1)/(x2-x1)
dy/dx=(-2-14)/(10-11)
dy/dx=-16/-1
dy/dx=16
Answer: (29.4, 32.6)
Step-by-step explanation:
From the question, we know that
Sample size (n) = 27
Sample mean (x) = $31
Sample standard deviation (s) = $3
We are to construct a 99% confidence interval interval for average amount spent on gift.
The formulae for constructing a 99% confidence interval for population mean is given as
u = x + tα/2 × s/√n...... For upper limit
u = x - tα/2 × s/√n...... For lower limit
tα/2 is the critical value for a 2 tailed test. This value of gotten from a t distribution table by checking the degree of freedom ( 27 - 1 = 26) against the level of significance ( 100% - 99% = 1%).
Hence tα/2 = 2.779
Let us substitute our parameters and solve
For lower limit
u = 31 - 2.779 × 3/√27
u = 31 - 2.779 ( 0.5773)
u = 31 - 1.6045
u = 29.4
For upper limit
u = 31 + 2.779 × 3/√27
u = 31 + 2.779 ( 0.5773)
u = 31 + 1.6045
u = 32.6
Hence the 99% confidence interval for population mean is given as 29.4, 32.6
From -4 to 1 (range equals the y values)
