July 16 is her birthday.
explanation;
there are only two dates with unique numbers; may 19 or june 18. therefore if bernard was given a date of either 18 or 19, he’d know right away. albert then says bernard doesn’t know which means the month he was given wasn’t may and/or june. bernard has this much figured out so far, and if he had been told 14 he wouldn’t know the answer as there are still two forteens left (july and august) leaving july 16, august 15, & august 17. bernard must have been given the number 16, because when albert says he knows too, that would rule out August, which still has two remaining dates.
A perendicular line will have a slope that is the negative reciprocal of the perpendicular slope. The negative reciprocal of - 1/3 is 3. So far we have y=3x+b since 3 is the new slope. However, we need to set a b value such that it passes through (1,5). Set y to 5 and x to 1. 5=3(1)+b and we can see that to satisfy this, b must be 2. Thus, the line is y=3x+2
Exponential decay is the answer
The answer is 2.483 because you do 248.3 ÷ 100
Add all the number then divided by as many numbers as you added