| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
Find the average of the following numbers: 16, 14, 17, 13.
| 15 | |
| 13 | |
| 16 | |
| 20 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 14 + 17 + 13}{4} \) = \( \frac{60}{4} \) = 15
What is (b2)4?
| b-2 | |
| 2b4 | |
| b8 | |
| 4b2 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b2)4Convert 7,911,000 to scientific notation.
| 7.911 x 107 | |
| 7.911 x 106 | |
| 7.911 x 10-5 | |
| 7.911 x 105 |
A number in scientific notation has the format 0.000 x 10exponent. 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:
7,911,000 in scientific notation is 7.911 x 106
If there were a total of 200 raffle tickets sold and you bought 10 tickets, what's the probability that you'll win the raffle?
| 7% | |
| 1% | |
| 5% | |
| 18% |
You have 10 out of the total of 200 raffle tickets sold so you have a (\( \frac{10}{200} \)) x 100 = \( \frac{10 \times 100}{200} \) = \( \frac{1000}{200} \) = 5% chance to win the raffle.
On average, the center for a basketball team hits 35% of his shots while a guard on the same team hits 50% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 27 | |
| 36 | |
| 43 | |
| 68 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{50}{100} \) = \( \frac{50 x 30}{100} \) = \( \frac{1500}{100} \) = 15 shots
The center makes 35% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{15}{\frac{35}{100}} \) = 15 x \( \frac{100}{35} \) = \( \frac{15 x 100}{35} \) = \( \frac{1500}{35} \) = 43 shots
to make the same number of shots as the guard and thus score the same number of points.