These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match.
Hope this helps!
Answer:
a) 12/25
b) 1/25
c) 12/25
Step-by-step explanation:
a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25
b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25
c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.
Gross income : 785 per week
deductions are :
FICA : 42.25
income tax : 90.33
2% state tax : 0.02(785) = 15.70
1% city tax : 0.01(785) = 7.85
3% retirement : 0.03(785) = 23.55
total deductions are : 42.25+90.33+15.70+7.85+23.55 = 179.68
gross pay - deductions = net pay
785 - 179.68 = net pay
605.32 = net pay <====
By definition we have that the perimeter of a rectangle is given by:
P = 2b + 2h
Where,
b: base
h: height
Also, as a data of the problem we have:
base is two times the height:
b = 2h
Substituting we have:
P = 2 (2h) + 2h
Clearing h:
6h = P
h = P / 6
h = (80x) / 6
h = (40/3) x
The base will be
b = 2h
b = (80/3) x
Answer:
the dimensions of the rectangle are
b = (80/3) x
h = (40/3) x
b. h = 13.3x; b = 26.6x
Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
