You have 4 out of the total of 150 raffle tickets sold so you have a (\( \frac{4}{150} \)) x 100 = \( \frac{4 \times 100}{150} \) = \( \frac{400}{150} \) = 3% chance to win the raffle.

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{9z^8}{2z^4} \)
\( \frac{9}{2} \) z^{(8 - 4)}
4\(\frac{1}{2}\)z⁴

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{7 x 2}{4 x 2} \) - \( \frac{3 x 1}{8 x 1} \)

\( \frac{14}{8} \) - \( \frac{3}{8} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{14 - 3}{8} \) = \( \frac{11}{8} \) = 1\(\frac{3}{8}\)

The equation for this sequence is:

a_n = a_n-1 + 8

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 8
a₆ = 33 + 8
a₆ = 41

Monica scored 78% on the test meaning she earned 78% of the possible points on the test. There were 320 possible points on the test so she earned 320 x 0.78 = 248 points. Each question is worth 4 points so she got \( \frac{248}{4} \) = 62 questions right.