In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Wyatt sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.

Question

12 visitors purchased no costume.
368 visitors purchased exactly one costume.
11 visitors purchased more than one costume.

If next week, he is expecting 200 visitors, about how many would you expect to buy no costume? Round your answer to the nearest whole number.

Answer 1

First, let's calculate the total number of costumes purchased in a single day:
368 visitors purchased exactly one costume = 368 costumes
11 visitors purchased more than one costume = 11*2 = 22 costumes

Total costumes purchased = 368 + 22 = 390 costumes

Now, let's calculate the percentage of visitors who purchased no costume:
Total visitors = 12 + 368 + 11 = 391 visitors
Percentage of visitors who purchased no costume = (12/391) * 100 = 3.07%

If 200 visitors are expected next week, we can estimate that about 3.07% of them will buy no costume:
3.07% of 200 = 0.0307 * 200 ≈ 6 visitors

Rounding to the nearest whole number, we can expect about 6 visitors to buy no costume.

Answer 2

how many different possible outcomes are there if you flip a coin twice?

Answer 3

When flipping a coin twice, there are 2 possible outcomes for each flip: either heads or tails.

For the first flip, there are 2 possible outcomes (heads or tails). For the second flip, there are also 2 possible outcomes.

To find the total number of different outcomes when flipping a coin twice, we multiply the number of outcomes for each flip:
2 outcomes × 2 outcomes = 4 different possible outcomes

Therefore, when flipping a coin twice, there are 4 different possible outcomes:
1. Heads, Heads
2. Heads, Tails
3. Tails, Heads
4. Tails, Tails

Answer 4

Justin is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answer 5

To find the total number of different possible outcomes when spinning the spinner and rolling the die, we multiply the number of outcomes for each action.

For the spinner, there are 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, and Friday. This means there are 5 possible outcomes when spinning the spinner.

For the die, it is a fair die with 6 sides labeled 1 to 6. This means there are 6 possible outcomes when rolling the die.

To find the total number of different outcomes, we multiply the number of outcomes for the spinner by the number of outcomes for the die:
5 outcomes (spinner) × 6 outcomes (die) = 30 different possible outcomes

Therefore, when spinning the spinner with 5 sections labeled Monday to Friday and rolling a fair die with 6 sides labeled 1 to 6, there are 30 different possible outcomes.

Answer 6

Marques is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 8 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Marques have to choose from?

Answer 7

To find the total number of different outfits Marques can choose from, we multiply the number of options for each item of clothing.

Number of options for pants = 3 pairs
Number of options for t-shirts = 8 options
Number of options for sweaters or hoodies = 3 options
Number of options for shoes = 5 pairs

To find the total number of different outfits, we multiply the number of options for each item of clothing:

3 pants x 8 t-shirts x 3 sweaters or hoodies x 5 shoes = 360 different outfits

Therefore, Marques has a total of 360 different outfits to choose from for the first day of school.