Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
Answer:
0.0478
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 135 mm
μ is the population mean = 130 mm
σ is the population standard deviation.
We are given variance = 9
Standard deviation = √variance = √9 = 3
Hence
z = 135 - 130/3
z = 1.66667
Probability value from Z-Table:
P(x<135) = 0.95221
P(x>135) = 1 - P(x<135) = 0.04779
Approximately to 4decimal places = 0.0478
Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
Answer:
b=2
Step-by-step explanation:
b+3b - 6 =2
4b=8
b=2
Have a good day
