Answer:
y -G = -1/3 ( x- F)
Step-by-step explanation:
The line on the plane has a slope
m = (y2-y1) /(x2-x1)
(0,-2) and (1,1)
= (1- -2)/( 1-0)
= (1+2)/(1-0)
= 3/1
Perpendicular lines have slopes that multiply to -1
m * 3 = -1
Divide by 3
m = -1/3
The perpendicular line has a slope of -1
The point slope equation is
y - y1 = m(x-x1)
y -G = -1/3 ( x- F)
Answer:
A
Step-by-step explanation:
Perpendicular because the slopes are different and on is negative and the other positive.
Answer: Choice A. f(x) = sqrt(x-1)
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Explanation:
The parent function is y = sqrt(x) and the left-most edge of this curve is at (0,0).
The graph shows the left-most point at (1,0) instead.
This means we've shifted everything 1 unit to the right, or you can think of the xy axis being shifted 1 unit to the left while the square root curve stays still (giving the illusion the curve moves).
If we shifted the xy axis 1 unit to the left, then each input x becomes one smaller, so each input is now x-1
That's why we go from y = sqrt(x) to y = sqrt(x-1)
You can use a graphing calculator to confirm this, or you can create a table of values to generate the points on this new blue curve.
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
