A concession stand at a basketball game sells hamburgers and soda. Each hamburger costs $2.99 and each soda costs $1.99. At the end of the evening, the concession
stand made a total of $447. There was total of 187 hamburgers and sodas
combined sold. Which system of equations can be used to determine how many
hot dogs were sold and how many hamburgers were sold?

answer: 20

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

to complete this square you have to rotate about the origin 270 degrees clockwise.