You would use the point-slope equation of y-y₁=mx(x-x₁)
So the rate of change is the slope and equals m, so m=-4
and has a solution at (-5,2) which would be the (x₁, y₁) and then it is just plugging in the numbers
y - (2) = (-4)(x - (-5))
y - 2 = -4 (x+5)
y - 2 = -4x - 20
y = -4x - 18
Step-by-step explanation:
3x+8y=27
3x=27-8y
x=27-8y/3
4(27-8y/3) + 3y=13
36-32/3y +3y =13
36-23/3y=13
36-13=23/3y
y=3
x=1
Answer:
Therefore 20 degree is in First Quadrant,
i.e Quadrant I.
Step-by-step explanation:
QUADRANT:
When the terminal arm of an angle starts from the x-axis in the anticlockwise direction then the angles are always positive angles.
Quadrant I - 0° to 90°
Quadrant II - 90° to 180°
Quadrant III - 180° to 270°
Quadrant IV - 270° to 360°
Therefore 20 degree is in First Quadrant, i.e Quadrant I.
When the terminal arm of an angle starts from the x-axis in the clockwise direction than the angles are negative angles.
Quadrant IV - 0° to -90°
Quadrant III - -90° to -180°
Quadrant II - -180° to -270°
Quadrant I - -270° to -360°
Answer:
3.113, 4.507
Step-by-step explanation:
From the given values:
Mean = 3.81
Standard deviation = 1.74
Therefore
M = √(1.72/18) = 0.4
μ = M ± t(sM)
μ = 3.81 ± 1.74*0.4
μ = 3.81 ± 0.697
Recall that the mean is estimated at 90% confidence level,
Hence,
= 90% CI [3.113, 4.507]
