In: Math
1. a) Based on recent statistics, Green Way Airlines expects 4.2% of its customers will be “no shows”. If the airline sold 260 seats for a flight, how many people would the airline expect as “no-shows”? (Round to the nearest whole number)
b) If the airplane can hold 254 passengers, can all those who show up at the gate get on the plane? Explain
2. JK Builders bought 35 acres of land for a housing development. They will give 1.75 acres to the city for a playground and subdivide the remaining land into house lots of 0.875 acres. How many house lots can be formed?
3. The average snowfall amounts for 5 winter months in Burlington, Vermont are given in the table.
a) Find the mean snowfall amount.
b) Find the median snowfall amount.
Month |
Snowfall (in.) |
November |
6.6 |
December |
18.1 |
January |
18.8 |
February |
16.8 |
March |
12.4 |
4. Volunteers from Habitat for Humanity are painting 16 interior walls in new homes that have been built. Each wall measures 14 feet by 6 2/3 feet.
a) If a gallon of paint covers 400 square feet, how many
gallons will be required to paint all the walls? (Round to next
whole number)
b) If each gallon costs $27.95, find the cost of the project.
5. In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity (enough to power more than 1.6 million households). The nation’s total electricity production was 4450 billion kilowatt-hours. What percent of the total electrical energy production was generated by wind machines?
6. If a 5 1/4 inch line on a map represents a 9-mile road, how many miles would be represented by a 3 1/2 inch line?
7. At a fire sale, items are being sold at 3/4 off the marked price. What is the sale price of an item that has a marked price of $156?
8. Sixteen ounces of mouthwash costs $3.49 while a 33-ounce container of the same brand costs $6.99. Which is a better buy? Why?
9. The price of gasoline jumped from $3.24 per gallon to $4.05 per gallon in one year. What was the percent increase?
10. You buy 2.75 yards of material at $4.80 per yard and pay $0.87 sales tax. What is the total cost for your purchase?
11. Ruth orders clothes from a retail catalog. She orders two turtleneck tops for $35 each, two pairs of stretch pants for $45 each, one winter jacket for $130, and three leather belts for $25 each. The shipping and handling charge for the order is $15. What is the total charge for Ruth’s order?
12. A recipe for a wedding punch calls for 12 quarts of champagne. If the champagne comes in bottles that are 4/5 of a quart, how many bottles of champagne would be needed?
13. One bank offers a 4-year car loan at an annual simple interest rate of 7% plus a loan application fee of $45. A second bank offers 4-year car loans at an annual simple interest rate of 8% but no loan application fee. If you need to borrow $5800 to purchase a car, which of the two bank loans has the lesser loan cost? (Assume you keep the car for all 4 years.)
14. In a recent survey of new car buyers, 20 of 63 men said they would prefer to buy a silver car while 16 of 49 women said they would prefer silver.
a) Which group has a stronger preference for silver cars?
b) Explain your answer
15. How many acres are contained in 1 square mile? (1 mile = 5280 ft.; 1 acre = 43,560 sq. ft.)