Answer:
500
105
Step-by-step explanation:
This question would be solved using a simultaneous equation
let
a = number of adults who bought the ticket
b = number of students who bought the ticket
c = number of senior citizens who bought the ticket
a + b + c = 670 eqn 1
10a + 4b + 3c = 5615 -- eqn 2
If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2
a + b + 65 = 670
a + b = 670 - 65
a + b = 605 eqn 3
10a + 4b + 3(65) = 5615
10a +4b = 5420 eqn 4
multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5
10a + 10b = 6050 eqn 5
-
10a + 4b = 5420 eqn 4
= 6b = 630
b = 105
Students who bought the ticket are 105
Substitute for b in eqn 3
a + 105 = 605
a = 500
Adults who bought the ticket are 500
Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)
Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875
Congruence is when two angles or shapes have the same shape and size. With angles, this means that two angles have the same angle measure. The correct answer is C.
Answer:
139.7124
Step-by-step explanation:
9.6+5.42-3.2 (^2)
11.82^2
= 139.7124
The answer is false because every integer is rational. An integer for example,5, can be expressed as 5/1 (which is a rational number)
