Luke was given a gift card for a coffee shop each morning Luke uses the card to buy one cup of coffee the original amount of money on the gift card was $30 and after buying 6 cups of coffee the card had $12 remaining balance write and equation for a in terms of X representing the amount of money remaining on the card after buying X cups of coffee

30-6x=12

Step-by-step explanation:

30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)

hope this helps!!

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