Answer:
Green graph: y = 5x + 2
Red Graph: y = 3x + 3
Blue graph: y = 2x + 3
Step-by-step explanation:
The slope of the given line is 3. Therefore, the slope of any line perpendicular to y = 3x - 2 is the negative reciprocal of 3, which is m = -1/3.
Starting with the point-slope equation of a straight line, obtain the specific equation applicable here by substituting the givens: m = -1/3, h = 6 and k = 8):
y - k = m (x - h) becomes y - 8 = (-1/3)(x - 6) (answer).
This could, if you wish, be rewritten in some other format.
If it takes m minutes to play on level, then in 60 minutes, the maximum number of levels you can play is 60 / m. Then, l <= 60/m.
Answer:
y= -2x-7
Step-by-step explanation:
point-slope: y-y1=m(x-x1)
y-3=-2(x-5)
y-3=-2x-10
y=-2x-7
Formula to find mean and standard deviation is,
Means = np and standard deviation =
.
Where n= sample size, p = probability.
According to the given problem, the probability that an individual has 20 vision is 0.19 in a class of 70 students. So,
p = 0.19 and n = 70.
Hence, the first step is to plug in these values in the above formula to get mean and standard deviation. Therefore,
Mean = np
= 70* 0.19
= 13.3
= 13.300 (Rounded to nearest thousandth.
Standard deviation = 
=
=
=√10.773
=3.282224855
= 3.282 (Rounded to nearest thousandth).