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8th Edition

Charles P. McKeague + 1 other

Publisher: Cengage Learning

ISBN: 9781305652224

Chapter 2.3, Problem 53PS

Textbook Problem

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In Figure 9, the distance from *A* to *D* is *y*, the distance from *D* to *C* is *x*. and the distance from *C* to *B* is *h.* Use Figure 9 to solve Problems 49 through 54.

Figure 9
*y* = 11, find *x*.

To determine

**To find:**

**Given information:**

In the above given figure the distance from A to D is y, the distance from D to C is x and the distance from C to B is h.

**Concept Used:**

**Calculation:**

If

Trigonometry (MindTap Course List)

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If a =...Ch. 2.1 - According to the Cofunction Theorem, which value...Ch. 2.1 - Which of the following statements is false? a. sin...Ch. 2.1 - Use exact values to simplify 4 cos2 30 + 2 sin 30....Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - For Questions 1 through 4, fill in each blank with...Ch. 2.2 - Add or subtract as indicated. (3745)+(2624)Ch. 2.2 - Add or subtract as indicated. (1141)+(3216)Ch. 2.2 - Add or subtract as indicated. (5155)+(3745)Ch. 2.2 - Add or subtract as indicated. (6338)+(2452)Ch. 2.2 - Add or subtract as indicated. (6133)+(4516)Ch. 2.2 - Add or subtract as indicated. (7121)+(2644)Ch. 2.2 - Add or subtract as indicated. 90(3412)Ch. 2.2 - Add or subtract as indicated. 90(6225)Ch. 2.2 - Add or subtract as indicated. 180(12017)Ch. 2.2 - Add or subtract as indicated. 180(13239)Ch. 2.2 - Add or subtract as indicated. (7624)(2234)Ch. 2.2 - Add or subtract as indicated. (8938)(2858)Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Convert each of the following to degrees and...Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Change each of the following to decimal degrees....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to find each of the following....Ch. 2.2 - Use a calculator to complete the following table....Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Find if is between 0 and 90. Round your answers...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - Use a calculator to find a value of between 0 and...Ch. 2.2 - To further justify the Cofunction. Theorem use...Ch. 2.2 - To further justify the Cofunction. Theorem use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - To further justify the Cofunction. Theorem, use...Ch. 2.2 - Work each of the following problems on your...Ch. 2.2 - Work each of the following problems on your...Ch. 2.2 - What happens when you try to find A for sin A =...Ch. 2.2 - What happens when you try to find B for sin B =...Ch. 2.2 - What happens when you try to find tan 90 on your...Ch. 2.2 - What happens when you try to find cot 0 on your...Ch. 2.2 - Complete each of the following tables. Round all...Ch. 2.2 - Complete each of the following tables. Round all...Ch. 2.2 - Sundials The Moorish sundial is designed so that...Ch. 2.2 - Sundials The Moorish sundial is designed so that...Ch. 2.2 - The problems that follow review material we...Ch. 2.2 - The problems that follow review material we...Ch. 2.2 - Find sin,cos, and tan for each value of . (Do not...Ch. 2.2 - Find sin,cos, and tan for each value of . (Do not...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - Find the remaining trigonometric functions of ...Ch. 2.2 - In which quadrant must the terminal side of lie...Ch. 2.2 - In which quadrant must the terminal side of lie...Ch. 2.2 - Subtract (6722) â€“ (3430). 3202 3302 3308 3252Ch. 2.2 - Convert 76 36 to decimal degrees. a. 76.36 b. 76.6...Ch. 2.2 - Use a calculator to approximate sec 31.7. a....Ch. 2.2 - Given cot=x for some value x. Which of the...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Questions 1 through 4, fill in each blank with...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - For Problems 5 through 8, determine the number of...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 9 through 22 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - Problems 23 through 38 refer to right triangle ABC...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - In Problems 39 and 40, use the information given...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - The circle in Figure 7 has a radius of r and...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - Figure 8 shows two right triangles drawn at 900 to...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - In Figure 9, the distance from A to D is y, the...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Suppose each edge of the cube shown in Figure 10...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Soccer A regulation soccer field has a rectangular...Ch. 2.3 - Based on your answers to Problems 58 and 59,...Ch. 2.3 - Based on your answers to Problems 58 and 60,...Ch. 2.3 - Repeat Example 5 from this section for the...Ch. 2.3 - Repeat Example 5 from this section for the...Ch. 2.3 - Ferris Wheel In 1897, a Ferris wheel was built in...Ch. 2.3 - Ferris Wheel A Ferris wheel with a diameter of 165...Ch. 2.3 - Observation Wheel the London Eye has a diameter of...Ch. 2.3 - Observation Wheel The High Roller, located on the...Ch. 2.3 - Human Cannonball In Example 2 of Section 1.2, we...Ch. 2.3 - Human Cannonball To get a better estimate of the...Ch. 2.3 - The following problems review material that we...Ch. 2.3 - The following problems review material that we...Ch. 2.3 - If cos=23 and terminates in QIII, find sin .Ch. 2.3 - If A=34 with A in QII, find cos A.Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Find the remaining trigonometric ratios for based...Ch. 2.3 - Which number contains three significant digits? a....Ch. 2.3 - Given right triangle ABC with C = 90, if A = 58...Ch. 2.3 - Given right triangle ABC with C = 90, if a = 58 cm...Ch. 2.3 - A Ferris wheel has a radius of 45 feet and the...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - For Questions 1 through 4, fill in each blank with...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - Problems 5 through 8 refer to Figure 12, which is...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - For Problems 9 through 12, draw a diagram that...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Solve each of the following problems. In each...Ch. 2.4 - Figure 15 shows the topographic map e used in...Ch. 2.4 - Figure 15 shows the topographic map e used in...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Distance and Bearing Problems 27 through 32...Ch. 2.4 - Height of a Door From a point on the floor the...Ch. 2.4 - Height of Building A man standing on the roof of a...Ch. 2.4 - Height of an Obelisk Two people decide to find the...Ch. 2.4 - Distance In Figure 18, a person standing at point...Ch. 2.4 - Height of a Tree An ecologist wishes to find the...Ch. 2.4 - Rescue A helicopter makes a forced landing at sea....Ch. 2.4 - Height of a Flagpole Two people decide to estimate...Ch. 2.4 - Height of a Tree To estimate the height of a tree,...Ch. 2.4 - Radius of Earth A satellite is circling 112 miles...Ch. 2.4 - Distance Suppose Figure 22 is an exaggerated...Ch. 2.4 - Distance A ship is anchored off a long straight...Ch. 2.4 - Distance Pat and Tim position themselves 2.5 miles...Ch. 2.4 - Spiral of Roots Figure 23 shows the Spiral of...Ch. 2.4 - Spiral of Roots Figure 23 shows the Spiral of...Ch. 2.4 - One of the items we discussed in this section was...Ch. 2.4 - Albert lives in New Orleans. 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If the ship...Ch. 2.5 - Navigation If a navigation error puts a plane 1.9...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Velocity of a Bullet A bullet is fired into the...Ch. 2.5 - Distance Traveled by a Bullet Use the results of...Ch. 2.5 - Distance Traveled b a Bullet Use the results of...Ch. 2.5 - Distance A ship travels 130 kilometers on a...Ch. 2.5 - Distance A plane flies for 3 hours at 320...Ch. 2.5 - Velocity of an Arrow An arrow is shot into the air...Ch. 2.5 - Velocity of an Arrow the horizontal and vertical...Ch. 2.5 - Distance A plane travels 170 miles on a bearing of...Ch. 2.5 - Distance A ship travels in the direction S 120 E...Ch. 2.5 - Static Equilibrium Repeat the swing problem shown...Ch. 2.5 - Static Equilibrium The diagram in Figure 18 of...Ch. 2.5 - Force An 8.0-pound weight is lying on a sit-up...Ch. 2.5 - Force Repeat Problem 43 for a 25.0-pound weight...Ch. 2.5 - Force Danny and Stacey have gone from the swing...Ch. 2.5 - Wrecking Ball A 2.200-pound wrecking ball is held...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work A package is pushed across a floor a distance...Ch. 2.5 - Work Mark pulls Allison and Manic in a wagon by...Ch. 2.5 - Work An automobile is pushed down a level street...Ch. 2.5 - Draw 135 in standard position, locate a convenient...Ch. 2.5 - Draw â€“270 in standard position, locate a...Ch. 2.5 - Find sin and cos lf the terminal side of lies...Ch. 2.5 - Find sin and cos if the terminal side of lies...Ch. 2.5 - Find x if the point (x, â€“8) is on the terminal...Ch. 2.5 - Find lithe point (â€“6, y) is on the terminal side...Ch. 2.5 - If a vector V has magnitude 28 and makes an angle...Ch. 2.5 - If a vector V has horizontal and vertical vector...Ch. 2.5 - Jadon is 5 years old and weighs 45.0 pounds. He is...Ch. 2.5 - A package is pushed across a floor a distance of...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Find sin A, cos A, tan A, and sin B, cos B, and...Ch. 2 - Use Definition II to explain why, for any acute...Ch. 2 - Fill in the blank to make the statement true: sin...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible. Add...Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Simplify each expression as much as possible....Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find the following. Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Vector Angle Vector V has a horizontal vector...Ch. 2 - Velocity A bullet is fired into the air with an...Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Force Tyler and Kelly decide to rollerskate. They...Ch. 2 - Work William pulls his cousins Hannah and Serah on...Ch. 2 - Find the measures of the remaining four angles...Ch. 2 - Use your knowledge of a 306090 triangle to find...Ch. 2 - Now use your knowledge of a 454590 triangle to...Ch. 2 - Find c and d, and then find sides a and b using...Ch. 2 - Now that the diagram is complete, you should have...Ch. 2 - Use your calculator to check each of the values in...Ch. 2 - The origins of the sine function are found in the...

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In Exercises 23 to 40, let U {p, q, r, s, t}, D = (p. r, s, t}, E = {q, s), F = {p, t}, and G = {s}. Determine ...

Mathematical Excursions (MindTap Course List)

Graphing Inequalities Graph the inequality. 98. y x2 3

Precalculus: Mathematics for Calculus (Standalone Book)

Prove that limx21x=12.

Single Variable Calculus

Let f(x,y)={0ify0oryx41if0yx4 a Show that f(x,y)0 as (x,y)(0,0) along any path through (0,0) of the form y=mxa ...

Calculus (MindTap Course List)

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms contin...

Multivariable Calculus

Gravitational Force A semi-infinite uniform rodoccupies the nonnegative x-axis. The rod has a linear density , ...

Calculus: Early Transcendental Functions (MindTap Course List)

Area Use Simpsons Rule with n=14 to approximate the area of the region bounded by the graphs of y=xcosx,y=0,x=0...

Calculus of a Single Variable

Given: mn Prove: 12

Elementary Geometry for College Students

In Exercise 1-6, express each equation in logarithmic form. 323/5=8

Finite Mathematics for the Managerial, Life, and Social Sciences

To inspect incoming shipments of raw materials, a manufacturer is considering samples of sizes 10, 15, and 19. ...

Statistics for Business & Economics, Revised (MindTap Course List)

Warning sirens A tornado-warning siren can be heard in the circular range shown in the illustration. Can a pers...

College Algebra (MindTap Course List)

In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E d...

Introduction To Statistics And Data Analysis

Identify the statistical procedure used to determine a correlation for different types of data and explain what...

Research Methods for the Behavioral Sciences (MindTap Course List)

Greens Theorem: Region with a Hole Let R be the region inside the ellipse x=4cos, y=3sin and outside the circle...

Calculus (MindTap Course List)

The unit vector in the direction of is:

Study Guide for Stewart's Multivariable Calculus, 8th

The LPGA ANA Inspiration tournament was held in April 2015 at the Mission Hills Country Club in Rancho Mirage, ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Using the Table of Block Thicknesses for a Metric Gage Block Set, determine a combination of gage blocks each o...

Mathematics For Machine Technology

Explain the difference between a linear relationship and a monotonic relationship, and identify which correlati...

Research Methods for the Behavioral Sciences (MindTap Course List)

Finding the Least Squares Regression LineIn Exercises 2528, find the least squares regression line for the poin...

Multivariable Calculus

A hollow cylinder with no ends of radius 3 cm and height 4 cm is a surface of revolution. Its surface area may ...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Find the interest earned by a deposit of 7,990 at 434 interest compounded monthly for eleven years.

Mathematics: A Practical Odyssey

In Problems 120 solve the given system of differential equations by systematic elimination. 4. dxdt4y=1dydt+x=2

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In 5-8, write an input/output table for the circuit in the referenced exercise. Exercise 3

Discrete Mathematics With Applications

HomogeneityExercises S-7 through S-I3 deal with the homogeneity property. Let f(x)=cx2.53. By what factor x be...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

The following table reports the price, horsepower, and -mile speed for 16 popular sports and GT cars.
Find the...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Credit Card Use by Undergraduates. In a study entitled How Undergraduate Students Use Credit Cards, it was repo...

Essentials Of Statistics For Business & Economics