The 2nd step, you're supposed to combine like terms (20h and 2h) but not the 5 because it doesn't have a h next to it.
Since order does not matter, you use a combination and not a permutation, so the first one is true, which means the second one is not true.
The probability of choosing two diamonds and three hearts can be represented by (13C2 * 13C3)/52C5, which is 0.0086, not 0.089, so the third one is not true.
The probability of choosing five spades and the probability of choosing five clubs are represented by the same thing, 13C5/52C5, which is roughly 0.0005, so the fourth one is not true but the fifth one is. So the answer is the first and fifth one.
The given final course grade, 88%, is the average of Frank's four quarter grades. The average is the sum of all grades divided among the four quarters. Let x be the average,
(82.5 + 94.7 + 87.9 + x) / 4 = 88
The value of x is equal to 86.9. Thus, the answer is letter C. 87%.
The sum of 5/30 + 4/6 would equal 25/30 because you would want to find a common denominator, which would be 30, but then you would want to simplify 25/30 because both the numerator and the denominator are both divisible by 5. so the final answer would be 5/6. Hope this helped! -Julia
