Select which one(s) of the following conditionals are equivalent to:

to gain financial independence, it is sufficient to win the lottery.

a) if you don't win the lottery, you won't gain financial independence.
b) if you gained financial independence, you must have won the lottery.
c) if you didn't gain financial independence, you didn't win the lottery.
d) if you win the lottery, you will gain financial independence.

Adding and subtracting matricesfind the value of each variable. x = and y = would

Amuffin recipe, which yields 12 muffins, calls for cup of milk for every 1 cups of flour. the same recipe calls for cup of coconut for every cup of chopped apple. to yield a batch of 30 muffins, how much flour will be needed in the mix?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?