At the bottom of the motion: The potential energy of the spring is at a maximum since the spring is stretched at its maximum extension. The potential energy due to gravity is at a minimum, since the mass is lifted the least amount above ground.
Answer:
Undefined
Step-by-step explanation:
Slope us (y2-y1)/(x2-x1)
(9-4)/(3-3)
Cant divide by zero
Answer:
Number of necklaces = 8
Number of bracelets = 20
Step-by-step explanation:
Given that:
Mellisa is making and selling the necklaces and bracelets.
Number of pieces of jewelry made on one day = 28
Number of bracelets was 4 more than the twice the number of necklaces.
To find:
Number of each type of jewelry made = ?
Solution:
Let number of bracelets = 
Let number of necklaces = 
As per question statement:
...... (1)
...... (2)
Putting the value of in equation (1):
By equation (1):
So, the answer is:
Number of necklaces = 8
Number of bracelets = 20
Answer:
P = 0,0012 or P = 0.12 %
Step-by-step explanation:
We know for normal distribution that:
μ ± σ in that range we find 68.3 % of all values
μ ± 2σ ⇒ 95.5 % and
μ ± 3σ ⇒ 99.7 %
Fom problem statement
We have to find (approximately) % of cars that reamain in service between 71 and 83 months
65 + 6 = 71 ( μ + σ ) therefore 95.5 % of values are from 59 and up to 71 then by symmetry 95.5/2 = 49.75 of values will be above mean
Probability between 65 and 71 is 49.75 %
On the other hand 74 is a value for mean plus 1, 5 σ and
74 is the value limit for mean plus 1,5 σ and correspond to 49,85 (from z=0 or mean 65).
Then the pobabilty for 83 have to be bigger than 49.85 and smaller than 0,5 assume is 49.87
Finally the probability approximately for cars that remain in service between 71 and 83 months is : 0,4987 - 0.49.75
P = 0,0012 or P = 0.12 %
