Exponential probability distribution f(r) = Ae-r/ λ λ where A = a constant, λ λ = mean free path 3. The attempt at a solution P = Integral (limits λ λ to ∞ ∞ )f(r) dr / Integral (limits 0 to ∞ ∞ ) f(r) dr
$45+$18+$26-$21-$93
45+18=63
63+18=81
81+26=107
107-21=86
86-93=-7
Answer:
3d + 4p = $37.25
5d + 2p = $38.75
Actual Answer:
Bag of popcorn is $5
A drink is $5.75
Step-by-step explanation:
Let drinks = d
Let popcorn = p
Noah: 3d + 4p = $37.25
Other: 5d + 2p = $38.75
Choose a variable to eliminate (We'll choose p)
3d + 4p = $37.25
(5d + 2p = $38.75) -2
Distribute
-10d - 4p = -77.5
The -4p cancels out the 4p, then we combine
-7d = -40.25
Divide both sides by -7
-7d/-7 = -40.25/-7
d = 5.75
Back to 3d + 4p = $37.25
Substitute d with 5.75
3(5.75) + 4p = $37.25
17.25 + 4p = 37.25
Move the constant to the other side
17.25 + 4p = 37.25
-17.25 -17.25
4p = 20
Divide both sides by 4
4p/4 = 20/4
p = 5
Answer: The pattern is -1.25 and the full sequence of numbers are 18.5, 17.25, 16, 14.75, and 13.5.
