For A: 1 senior; 1 infant; 2 children; 4 adults, out of 8 people
for B: 1 senior; 3 infants; 6 children; 6 adults, out of 16 people
for D: $43.75
for E: $76.25
8.5
the tenth is the first digit behind the dot. 4 rounds down so the 5 stays a 5
One way to solve it is writing two equations based on the info so
y = 5x + 10 for members
y = 6x for nonmembers
(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)
and to find their intersection point (where the values will be the same), you just set them equal to each other:
5x + 10 = 6x
subtract 5x
x = 10 classes
Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:

(b) The probability of winning a 6/53 lottery is given by:

(c) The probability of winning a 6/51 lottery is given by:

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

It is 1.6417 times more probable.
Answer:
x=2
Step-by-step explanation:
3(5x+2)=8x+20
Distribute the 3
15x +6 = 8x+20
Subtract 8x from each side
15x-8x +6 = 8x-8x+20
7x+6 = 20
Subtract 6 from each side
7x+6-6=20-6
7x=14
Divide each side by 7
7x/7 = 14/7
x=2