Math Questions

(11.3) Classify the following samples as biased or unbiased. a. A radio station asks listeners to call in and participate in a poll about radio advertisements. b. Every fourth person who enters a grocery store is asked whether he or she thinks airline prices are reasonable. c) A sports league randomly selects five players from each team to complete a survey about fan behavior.

The ages of the band members are: 17, 21, 15, 19, 18, 21. What is the mode age of the band members? A. 17 B. 21 C. 18.5 D. 19.3

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. Two are jelly-filled, 4 are lemon-filled, and 18 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a lemon-filled donut followed by a custard-filled donut.(Type an integer or a simplified fraction.)

Ten students compared their test percentage grades: 93,77,100,68,94, 83, 86, 88, 93,85 What is their median percentage score? A. 83.4 C. 87 B. 86.7 D. 88.5

Solve |7x+42| = 14x. Identify the solution and an extraneous solution. A. Solution: x= -2; extraneous solution: x= 6 B. Solution: x = 2; extraneous solution: x= -6 C. Solution: x = 6; extraneous solution: x= -6 D. Solution: x= 6; extraneous solution: x=-2

A swimming pool at Mary's house is 7 m long. 5 m wide, and 1.5 m deep. The water-resistant paint needed for the pool costs $5 per square meter. How much will it cost to paint the interior surfaces of the pool? $71 $76 $106 $355

Kristin Wilson lives in Anderson, South Carolina, and wishes to visit relatives in the following South Carolina cities: Columbia, Rock Hill, Sumter, Greenville, and Florence. In how many ways can she visit each of these cities and return to her home in Anderson? There are___different ways that Kristin can visit each city and return home.

Drew's neighbor pays him $35 to mow her lawn and she always gives him a 20% tip. He decides to mow the lawn with his friend and split the earnings evenly. How much will each of them make?

The dimensions of a rectangular prism are 8 m x1 9 m x 10 m. If the dimensions of the rectangular prism are increased by 4, then find the volume of the new prism. 1,284 m³ 2,184m3 4,182 m³ 8,142 m³

Select the correct answer. Which expression is equivalent to the given expression? 3x^2 + 5x-7(x²+4) A-4x² + 5x - 28 B.4x^2+ 5x - 4 C.x²+28 D. x² +4

A school principal wants to know the favorite class of the middle school students in his school. He surveys all of the students who are sent to his office throughout the week. Is this a random sample that will answer his question? Why or why not? A. Yes, because he asked lots of students. B. No, because he only asked students who were sent to his office; this is not a random sample. C. Yes, because he asked the same question to each student he surveyed. D. This cannot be determined with the given information.

Which set of angles could NOT form a triangle? A. Three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles

Joseph wants a television for his birthday that originally cost $740. Right now, the television is on sale for 40% off! Joseph's dad agreed to buy it, as long as Joseph pays for 30% of the cost. How much will Joseph have to pay?

(11.2) Which of the following is a parameter? Ten out of 25 people surveyed chose "red." The total collected at a fund-raiser was $5,281. Seventy-five percent of the freshmen surveyed voted for Lucy.

Contestants in a long distance race run 5 kilometers due south. The runners then turn right and head west towards the finish line. If the straight line distance from start to finish is 13 kilometers, what is the distance that the contestants traveled while heading west? 17 km 14 km 12 km

Kristin Wilson lives in Spartanburg, South Carolina, and wishes to visit relatives in the following South Carolina cities: Sumter and Greenville. In how many ways can she visit each of these cities and return to her home in Spartanburg?

Solve |x + 3| = -7. A. x=-4 and x = -10 B. No solution C. x = 4 and x = -10 D. x = -4 and x = 10

Does the equation below represent a direct proportion? If yes, identify the constant of proportionality. y = 2.4x A. No B. Yes, -2.4 C. Yes, 2.4 D. Yes, 2

Select the correct answer. Find the quotient. 2x-3 / x ÷ 7/x^2 A. 7/x(2x-3) B. 7x/2x-3 C. 2x-3/7x D. x(2x-3)/7

Which algebraic expression represents this word description? The difference between the product of nine and a number, and five A. 9x-5 B. 9(5-x) C. 9(x - 5) D. 5-9x

Harold can make 9 pizzas in an hour. Write an equation that shows the relationship between hours (h) and pizzas (p). A. h+9=p B. 9p = h C. 9h=p D. hp = 9

A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth function f(t)= ae^rt, and give your answer to the nearest whole number. You may use the Desmos scientific calculator: https://www.desmos.com/scientific.

A professor must randomly select 4 students to participate in a mock debate. There are 20 students in his class. In how many different ways can these students be selected, if the order of selection does not matter?

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?

John runs 3 miles in 1/2 of an hour. At the same pace, how many miles will he run in 1 hour? 6 1/4 miles 6 miles 3 3/4 miles

There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6 miles east and then 8 miles north in order to get to the store. How long is the direct path from Gayle's house to the store? 10 miles 12 miles 14 miles

A car travels 67 miles per hour. Write an equation that shows the relationship between hours (h) and miles (m). A. 67h=m B. 67 = hm C. h+67=m D. none of the above

Brian made a rectangular prism with a length of 6 in., a width of 4 in., and a height of 8 in. If he doubled the height and width, what will be the volume of the new rectangular prism? The volume of the new rectangular prism is 68 times the original volume. The volume of the new rectangular prism is 6 times the original volume. The volume of the new rectangular prism is 4 times the original volume. The volume of the new rectangular prism is 2 times the original volume.

On a map, the scale shown is 1 inch 3 miles. If an island is 0.5 square inches on the map, what is the actual area of the island?

Sets C and D are subsets of the universal set U. These sets are defined as follows. U = {q, r, x, y, z} C = {x, z} D={q, y, z} Find the following sets. Write your answer in roster form or as Ø. (a) CUD' = (b) C'nd' =

Select the correct answer. The length, that a spring is stretched varies directly as the amount of force, F. applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds? A. 8 inches B. 7.5 inches C. 4.5 inches D. 2 inches

Find f'(x) and simplify. f(x)= x/x+2 Which of the following shows the correct application of the quotient rule? A. (x+2)(1)-(x)(1)/ [x+2]² B. (x)(1)-(x+2)(1)/[x+2]² C. (x)(1)-(x+2)(1)/[x]² D. (x+2)(1)-(x)(1)/[x]²

When the volume of a gas is changed from 3.6 L to 15.5 L, the temperature will change from °C to 87°C.

A model of a car is built with a scale of. 1 inch 4 feet. If the length of the model car is 2.7 inches, then the length of the actual car is ft.

Type the correct answer in the box. The measure of angle θ is 5π/6. The equivalent measurement in degrees is

Blue River is 212 miles long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?

A package of twelve eggs costs $5. At this price, how much does each individual egg cost? (Round to the nearest cent.) A. $0.42 B. $1.24 C. $2.40 D. none of the above

The vertices of a rectangle are R(-5, -5), S(-1,-5), T(-1, 1) and U(-5, 1). After R' is the point (3, 0). Find the translation and coordinates of U'. translation, [A] (8,-5); (3,-4) [B] (5,-8); (0,-7) [C] (-5, 8); (-10, 9) [D] (8,5); (3, 6)

Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of three cities other than City A. In how many ways can she reach each of these cities and return to her home in City A?

Which of the following sets could be the sides of a right triangle? (2,3,√13) (2, 2, 4) (1, 3, √3)

Find the exact value of cos^-1(cos(-2π/5)). Write your answer in radians in terms of π. If necessary, click on "Undefined."

Question 5 of 25 Solve 4(x-7)+ 10 = -10. A. x = 3 B. x = 2 C. x = 4 D. x = 1

Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel sides. What geometric term best describes the figure Tyler drew? A. Parallelogram B. Rhombus C. Rectangle D. Trapezoid

Which statement about k(x) = -x² - 2x + 15 is true? F The zeros are -3 and 5, because k(x) = -(x+3)(x - 5). G The zeros are -5 and 3, because k(x) = -(x + 5)(x-3). H The zeros are -5 and -3, because k(x) = -(x + 5)(x+3) J The zeros are 3 and 5, because k(x) = -(x-3)(x - 5).

Solve 3x + 4(x + 6) = 45. A. x = 7 B. x = 6 C. x = 5 D. x = 3

A study concludes that 15 percent of all college students attend a gym class. Which of the following statements is true? 15 percent is a parameter. 15 percent is an ordinal measurement. 15 percent is categorical data. 15 percent is a statistic.

Alfredo bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Alfredo pay for the fishing pole?

(11.2) Determine if each of the following is a parameter or a statistic. a) A survey of all employees at a company found that the mean one-way daily commute to work of the employees is 25.5 minutes. b) A car dealer has 1,600 cars on its lot and a sample of 25 cars is chosen. The dealer calculates the mean weight of those 25 cars. What does the mean represent?

Use the Change of Base Formula to evaluate log4 27. Then convert log4 27 to a logarithm in base 2. Round to the nearest thousandth. 3.296; log₂ 5.196 2.377; log₂ 13.5 2.377; log₂ 5.196 1.431; log₂ 13.5

A map's scale is 1 inch : 2.4 miles. The map shows an airport that is 5 inches away from a city. How far away is the airport actually from the city?