1. Fatima bought a video game thay has a regular price of $45. The game was on sale for 15 percent off, and she paid sales tax for 7 percent. What was the price Fatima paid for the video game?
2. A special deck of cards consists of 5 red cards, 20 blue cards, and 25 green cards. Svetlana selects 1 card from the special deck 500 times. How many times can she expect to draw a red card?
Hoya
1.
45 * 0.85 * 1.07 = $_________
2.
5/50 = 1/10 = ?/500
1. To find the price Fatima paid for the video game, we need to calculate the discounted price after applying the 15% off, and then add the sales tax of 7% to that discounted price.
Step 1: Calculate the discounted price
To find the discounted price, we multiply the regular price by the discount rate. The discount rate is 15% or 0.15 as a decimal.
Discounted price = Regular price * (1 - discount rate)
Discounted price = $45 * (1 - 0.15)
Discounted price = $45 * 0.85
Discounted price = $38.25
Step 2: Calculate the price after adding sales tax
To find the price after adding sales tax, we need to add the sales tax to the discounted price. The sales tax rate is 7% or 0.07 as a decimal.
Price after sales tax = Discounted price + (Discounted price * sales tax rate)
Price after sales tax = $38.25 + ($38.25 * 0.07)
Price after sales tax = $38.25 + $2.6775
Price after sales tax ≈ $40.93
Therefore, Fatima paid approximately $40.93 for the video game.
2. To find out how many times Svetlana can expect to draw a red card when selecting 1 card from the special deck 500 times, we need to calculate the probability of drawing a red card and then multiply it by the number of times she is selecting the card.
Step 1: Calculate the probability of drawing a red card
To calculate the probability of drawing a red card, we divide the number of red cards by the total number of cards in the deck.
Probability of drawing a red card = Number of red cards / Total number of cards
Probability of drawing a red card = 5 / (5 + 20 + 25)
Probability of drawing a red card = 5 / 50
Probability of drawing a red card = 0.1 or 10%
Step 2: Calculate the expected number of red cards
To find the expected number of red cards, we multiply the probability of drawing a red card by the number of times Svetlana is selecting a card.
Expected number of red cards = Probability of drawing a red card * Number of selections
Expected number of red cards = 0.1 * 500
Expected number of red cards = 50
Therefore, Svetlana can expect to draw a red card approximately 50 times out of the 500 times she selects a card from the special deck.