Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.
Type of Crust Number Sold
Thin crust 467
Thick crust 242
Stuffed crust 155
Pan style 216
Based on this information, of the next 3000 pizzas she sells, how many should she expect to be pan style? Round your answer to the nearest whole number. Do not round any intermediate calculations.
To find the proportion of pan style pizzas sold, we need to divide the number of pan style pizzas sold last week by the total number of pizzas sold last week.
Total pizzas sold = 467 + 242 + 155 + 216 = 1080 pizzas
Proportion of pan style pizzas sold = 216/1080 = 0.2
To find the expected number of pan style pizzas out of the next 3000 pizzas, we multiply the proportion by the total number of pizzas:
Expected number of pan style pizzas = 0.2 * 3000 = 600
Therefore, the owner should expect to sell 600 pan style pizzas out of the next 3000 pizzas.
Mrs. Roberts is a librarian at Central Library. In examining a random sample of the library's book collection, she found the following.
714 books had no damage,
79 books had minor damage, and
44 books had major damage.
Based on this sample, how many of the 75,500 books in the collection should Mrs. Roberts expect to have minor damage or major damage? Round your answer to the nearest whole number. Do not round any intermediate calculations.
To find the proportion of books in the sample that had minor or major damage, we need to add the number of books with minor damage and major damage and divide by the total number of books in the sample.
Total books in the sample = 714 + 79 + 44 = 837 books
Proportion of books with minor or major damage = (79 + 44)/837 = 123/837 ≈ 0.147
To find the expected number of books with minor or major damage out of the total number of books in the collection, we multiply the proportion by the total number of books:
Expected number of books with minor or major damage = 0.147 * 75500 ≈ 11102.35 ≈ 11102
Therefore, Mrs. Roberts should expect to find approximately 11102 books with minor or major damage out of the 75,500 books in the collection.
Write inequalities to represent the situations below.
John exercises more than 50 minutes per day.
Use t to represent John's amount of exercise (in minutes per day).
The vehicle's fuel efficiency is no less than 30 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
1) Inequality representing John's exercise:
t > 50
2) Inequality representing the vehicle's fuel efficiency:
f ≥ 30
Write inequalities to represent the situations below.
To get the 10% discount, a shopper must spend at least $300.
Use d to represent the spending (in dollars) of a shopper who gets the discount.
The temperature inside the lab refrigerator is no more than 40 F.
Use t to represent the temperature (in f ) of the refrigerator.
1) Inequality representing the shopper's spending for the discount:
d ≥ $300
2) Inequality representing the temperature of the refrigerator:
t ≤ 40 F