| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
If there were a total of 100 raffle tickets sold and you bought 2 tickets, what's the probability that you'll win the raffle?
| 2% | |
| 1% | |
| 16% | |
| 17% |
You have 2 out of the total of 100 raffle tickets sold so you have a (\( \frac{2}{100} \)) x 100 = \( \frac{2 \times 100}{100} \) = \( \frac{200}{100} \) = 2% chance to win the raffle.
Solve for \( \frac{2!}{4!} \)
| 3024 | |
| \( \frac{1}{42} \) | |
| \( \frac{1}{12} \) | |
| \( \frac{1}{72} \) |
A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:
\( \frac{2!}{4!} \)
\( \frac{2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4 \times 3} \)
\( \frac{1}{12} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $43, how much will he pay for both shirts?
| $40.85 | |
| $83.85 | |
| $2.15 | |
| $49.45 |
By buying two shirts, Charlie will save $43 x \( \frac{5}{100} \) = \( \frac{$43 x 5}{100} \) = \( \frac{$215}{100} \) = $2.15 on the second shirt.
So, his total cost will be
$43.00 + ($43.00 - $2.15)
$43.00 + $40.85
$83.85
A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 30% | |
| 27\(\frac{1}{2}\)% | |
| 22\(\frac{1}{2}\)% | |
| 20% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%
The total water usage for a city is 35,000 gallons each day. Of that total, 33% is for personal use and 43% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 4,500 | |
| 8,050 | |
| 3,500 | |
| 3,450 |
43% of the water consumption is industrial use and 33% is personal use so (43% - 33%) = 10% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{10}{100} \) x 35,000 gallons = 3,500 gallons.