a. Answer The U.S. Government received more money than it spent over the period 1995-2000 Explanation Given: consider the table provided in the question, Compare each year of deficit with each year of surplus, that is, 1995 with 2000 ……(1) 1996 with 1999 ……(2) 1997 with 1998 ……(3) In (1), (2) and (3), money received in the years of surplus is more than money spent in the years of deficit. Conclusion: The U.S. Government received more money than it spent over the period 1995-2000 b. To determine To calculate: the overall surplus or deficit Answer = ( − 164.0 ) + ( − 107.5 ) + ( − 22.0 ) + 69.2 + 124.6 + 236.4 = 136.7 The U.S. Government received an overall surplus of $137 Billion Explanation Given: consider the table provided in the question, Calculation: Add all the values of surplus or deficit in the table, The resultant value is positive, therefore, the Government received more than it spent. Conclusion: Hence, the U.S. Government received an overall surplus of $137 Billion c. To determine the mean annual surplus or deficit of the period 1995-2000. Answer The mean annual surplus is $22.8 billion Explanation Given: Consider the table provided in the question, Concept Used: m e a n = t o t a l s u m n Calculation: In the provided data, Total sum = $136.7, that is, the total surplus earned by the U.S. Government. n = 6, that is, number of years in the provided period. Evaluate the values in the formula, m e a n = 136.7 6 = 22.78 = 22.8 Conclusion: hence, the mean annual surplus of the period 1995-2000 is $22.8 billion. d. To determine the median annual surplus or deficit of the period 1995-2000. Answer The median annual surplus is $23.6 billion Explanation Given: Consider the table provided in the question, Calculation: Arrange the provided surplus and deficit values from the table in ascending order, that is, smallest to the largest, -164.0, -107.5, -22.0, 69.2, 124.6, 236.4 Since, the number of values is even, find the first mid-value. n 2 = 6 2 = 3 Next find the second term, n 2 + 1 = 6 2 + 1 = 3 + 1 = 4 Now, calculate the average of 3 r d and 4 t h values, = − 22.0 + 69.2 2 = 47.2 2 = 23.6 Median annual surplus is more than mean annual surplus Conclusion: hence, the median annual surplus of the period 1995-2000 is $23.6 billion.

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 2.7, Problem 45E

To determine

Whether the U.S Government received more money or less money over the period 1995-2000 without doing any calculations.

Expert Solution

Answer to Problem 45E

The U.S. Government received more money than it spent over the period 1995-2000

Explanation of Solution

Given: consider the table provided in the question,

Pre-Algebra, Chapter 2.7, Problem 45E , additional homework tip 1

Compare each year of deficit with each year of surplus, that is,

1995 with 2000 ……(1)

1996 with 1999 ……(2)

1997 with 1998 ……(3)

In (1), (2) and (3), money received in the years of surplus is more than money spent in the years of deficit.

Conclusion:

The U.S. Government received more money than it spent over the period 1995-2000

To determine

To calculate: the overall surplus or deficit

Expert Solution

Answer to Problem 45E

=(−164.0)+(−107.5)+(−22.0)+69.2+124.6+236.4=136.7

The U.S. Government received an overall surplus of $137 Billion

Explanation of Solution

Given: consider the table provided in the question,

Pre-Algebra, Chapter 2.7, Problem 45E , additional homework tip 2

Calculation:

Add all the values of surplus or deficit in the table,

The resultant value is positive, therefore, the Government received more than it spent.

Conclusion:

Hence, the U.S. Government received an overall surplus of $137 Billion

To determine

the mean annual surplus or deficit of the period 1995-2000.

Expert Solution

Answer to Problem 45E

The mean annual surplus is $22.8 billion

Explanation of Solution

Given: Consider the table provided in the question,

Pre-Algebra, Chapter 2.7, Problem 45E , additional homework tip 3

Concept Used:

mean=totalsumn

Calculation:

In the provided data,

Total sum = $136.7, that is, the total surplus earned by the U.S. Government.

n = 6, that is, number of years in the provided period.

Evaluate the values in the formula,

mean=136.76=22.78=22.8

Conclusion:

hence, the mean annual surplus of the period 1995-2000 is $22.8 billion.

To determine

To determine: the median annual surplus or deficit of the period 1995-2000.

Expert Solution

Answer to Problem 45E

The median annual surplus is $23.6 billion

Explanation of Solution

Given: Consider the table provided in the question,

Pre-Algebra, Chapter 2.7, Problem 45E , additional homework tip 4

Calculation:

Arrange the provided surplus and deficit values from the table in ascending order, that is, smallest to the largest,

-164.0, -107.5, -22.0, 69.2, 124.6, 236.4

Since, the number of values is even, find the first mid-value.

n2=62=3

Next find the second term,

n2+1=62+1=3+1=4

Now, calculate the average of 3^r^d and 4^t^h values,

=−22.0+69.22=47.22=23.6

Median annual surplus is more than mean annual surplus

Conclusion:

hence, the median annual surplus of the period 1995-2000 is $23.6 billion.

Chapter 2.7, Problem 44E

Chapter 2.7, Problem 46E

Chapter 2 Solutions

Pre-Algebra

Ch. 2.1 - Prob. 1PSQ Ch. 2.1 - Prob. 2PSQ Ch. 2.1 - Prob. 3PSQ Ch. 2.1 - Prob. 4PSQ Ch. 2.1 - Prob. 5PSQ Ch. 2.1 - Prob. 6PSQ Ch. 2.1 - Prob. 7PSQ Ch. 2.1 - Prob. 8PSQ Ch. 2.1 - Prob. 9PSQ Ch. 2.1 - Prob. 10PSQ

Ch. 2.1 - Prob. 11PSQ Ch. 2.1 - Prob. 1C Ch. 2.1 - Prob. 2C Ch. 2.1 - Prob. 3C Ch. 2.1 - Prob. 4C Ch. 2.1 - Prob. 5C Ch. 2.1 - Prob. 6C Ch. 2.1 - Prob. 7C Ch. 2.1 - Prob. 8C Ch. 2.1 - Prob. 9C Ch. 2.1 - Prob. 10C Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - 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