A single rose sells for 50 cents, so buying two will cost $1 (50 cents multiplied by 2).
With 2 roses per dollar, spending $20 allows for the purchase of 40 roses.
They make $6 profit on $20 sales, which means they spend $14 on the 40 roses ($20 minus $6).
Dividing $14 by 40 roses gives a cost of $0.35 per rose.
Therefore, the vendor pays 35 cents for each rose.
If you are referring to (r+5)/mn, then:
To solve this problem, you'll want to substitute the first equation into the second or the other way around. The equations given are: 1. 3 paperback books + 5 hardcover books = $80.10; 2. 7 paperback books + 4 hardcover books = $100.65. It is helpful to rearrange the first equation to find 5 hardcover books = $80.10 - 3 paperback books, leading to hardcover book = $16.02 - 0.6 paperback books. Now, substitute this into the second equation: 7 paperback books + 4 ($16.02 - 0.6 paperback books) = $100.65, which simplifies to 7 paperback books + $64.08 - 2.4 paperback books = $100.65. This results in 4.6 paperback books = $100.65 - $64.08 = $36.57, thus paperback book = $7.95. You can then use this price in the first equation to determine the hardcover book price: 3 paperback books + 5 hardcover books = $80.10, substituting gives 3($7.95) + 5 hardcover books = $80.10, which leads to 5 hardcover books = $80.10 - $23.85 = $56.25, therefore hardcover book = $11.25. Hence, the total cost for one paperback and one hardcover book is $7.95 + $11.25 = $19.20.
Answer:
Explanation:
Hello!
You possess a sample involving 200 participants, who were surveyed regarding their main source of news, categorized into (1) Television, (2) Radio, (3) Internet, and (4) Other.
Your goal is to evaluate whether the proportions in this sample align with the established frequencies of 10%, 30%, 50%, and 10% respectively.
The suitable statistical method to assess if the sample matches the known or historical distribution is the Chi-Square goodness of fit test. In this test, the null hypothesis represents the model or distribution under examination. In this scenario, you need to articulate the proportions for each category:
H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10
Wishing you a SUPER day!
Response: B
Detailed explanation: This represents a quadratic function due to its parabolic shape, and it intersects the y-axis at 1.
