The number of students taking German or Spanish is 5 + 15 = 20. Of that group of 20, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 20 - 2 = 18 who are taking at least one language. 23 - 18 = 5 students who are not taking either language.

You have 14 out of the total of 200 raffle tickets sold so you have a (\( \frac{14}{200} \)) x 100 = \( \frac{14 \times 100}{200} \) = \( \frac{1400}{200} \) = 7% chance to win the raffle.

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{5} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{5 x 6} \) = \( \frac{4}{30} \) = \(\frac{2}{15}\)

The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 40 and 72 have in common.

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

8,624,000 in scientific notation is 8.624 x 10⁶