Answer:
a) ⅖+⅓ = 6/15 + 5/15 = 11/15
b) 5/9 - 1/2 = 10/18 - 9/18 = 1/18
Relative frequency is the absolute frequency (i.e. the number of times of the wanted result) divided by the total number of events.
In this case you have to calculate: the number of heads that came up divided by the number of times the coin was flipped.
Number of times the coin was flipped: 20
Numbef of times head came up: 7
Relative frequency: 7 / 20 = 0.35, which is the option B.
The final step in solving the inequality=
-6<-2x
-2x>-6
x<3
Answer:
24 premium tickets were sold.
Step-by-step explanation:
Let :
Deluxe ticket = x
Regular tickets = x + 78
Premium tickets = y
x + (x + 78) + y = 208
4x + 2(x+78) + 10y = 714
2x + y = 208 - 78
4x + 2x + 156 + 10y = 714
2x + y = 130 - - - - - (1)
6x + 10y = 558 - - - - (2)
Now we can solve the simultaneous equation using elimination method :
From (1)
y = 130 - 2x
Put y = 130 - 2x in (2)
6x + 10(130 - 2x) = 558
6x + 1300 - 20x = 558
- 14x = 558 - 1300
-14x = - 742
x = 742 / 14
x = 53
Put x = 53 in y = 130 - 2x
y = 130 - 2(53)
y = 130 - 106
y = 24
