5 people.
14 + 9 + 12 + 13 + 12 = 60 total pencils.
60 pencils / 5 people = 12 pencils each.
" break even " is when ur expenses = revenue.....there is no profit made when u break even
expenses : 0.35x + 770
revenue (ur income) : 0.55x
so they have to equal to break even...so set them equal to each other and solve for x
0.35x + 770 = 0.55x
770 = 0.55x - 0.35x
770 = 0.2x
770 / 0.2 = x
3850 = x <== they must sell 3850 copies to break even
Answer:
(a) 0.0152%
(b) 1.1663%
(c) 19.4297%
(d) 79.3787%
Step-by-step explanation:
Tickets bought by organizers = 4
Number of tickets = 55
Prizes = 3
(a) The probability that the four organizers win all of the prizes is:
(b) The probability that the four organizers win exactly two of the prizes is:
(c) The probability that the four organizers win exactly one of the prizes is:
(d) The probability that the four organizers win none of the prizes is:
Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
