In a souvenir shop, jodi purchased 2 small picture frames and 1 large one for $28. mike bought 3 medium-size frames and 2 large ones for $56. shelly bought a small, a medium, and a large frame for $30. write and solve a system of equations to find the price of each size of picture frame.

a. small: 8
medium: 10
large: 12

b. small: 5
medium: 10
large: 15

c. small: 6
medium: 8
large: 16

d. small: 10
medium: 12
large: 15

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

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