Answer:
3 /4 x+ 1 /2 one-half more than three-fourths of a number
3/ 4 − 1 /2 x three-fourths minus one-half of a number
3/ 4 −(x+ 1/ 2 ) three-fourths minus the sum of a number and one-half
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
12kg,=12000gm
now 12000/200= 60
250kg= 250000 /60=4166.66
So 4166.66 gm of milk will be needed to produce 200 gm of oil.
Answer:
9
Step-by-step explanation:
The probability of at least one child inheriting the disease can be given by
<em>P</em>(<em>X</em> ≥ 1) = 1 - <em>P</em>(<em>X</em> = 0). This is because the only choice other than at least one child inheriting the disease is that no children get it.
Since there is a 70% or 0.7 chance that each child will inherit it, there is a 30% or 0.3 chance that they will not. This gives us
1 - <em>P</em>(<em>X</em> = 0) = 1 - (0.3)(0.3)(0.3) = 1 - 0.027 = 0.973
There is a 97.3% chance that at least one of the children will get the disease from their mother.
