Answer:
Step-by-step explanation:
HH
HT
TH
TT
Answer:
1/9
Step-by-step explanation:
135 in Sport centre: Total
59:swimming pool
31:track
19 both swimming and gym
16 gym and track
4 all three facilities
4 people use all three facilities, then
16 - 4 = 12 people use the gym and the track and do not use the pool;
9 - 4 = 5 people use the pool and the track and do not use the gym;
19 - 4 = 15 people use the gym and the pool and do not use the track.
At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is
4/36=1/9
Hope this helps!!!
Answer:
1 : 20 20 students for every 1 teacher
Step-by-step explanation:
divide both sides by 12
<h2>
Answer:</h2><h2>
volume of the cylinder = 2π
</h2>
Step-by-step explanation:
The height of a cylinder is twice the radius of its base.
Let the height of the cylinder = 2x
Let the radius of the cylinder = x
By formula, volume of the cylinder = π
h
here r = x, h = 2x
substituting the values in the equation, we get
volume of the cylinder = π h = π 
(2x)
volume of the cylinder = 2π
Answer:
c. Minimize P,d1+; 5x1 + 3x2 + d1+ = 150
Step-by-step explanation:
5x1 + 3x2 = 150. To convert an equality, we simply add an “artificial” variable (d1) to the equation: 5X1 + 3X2 + d1 = 150 An artificial variable is a variable that has no physical meaning in terms of a real-world LP problem. It simply allows us to create a basic feasible solution to start the simplex algorithm. An artificial variable is not allowed to appear in the final solution to the problem. Here in this problem to avoid over utilization, we introduce this artifical variable.
