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Questions and Answers of Mathematics Economics Business

Compute the mean and standard deviation for the random variable in Example 5.Data from Example 5Suppose a fair die is rolled three times and success on a single roll is considered to be rolling a
Use the double bar graph on world gold production to determine the country that showed the greatest increase in gold production from 2010 to 2015. Which country showed the greatest percentage
Compute the mean and standard deviation for the random variable in Matched Problem 5.Data from Matched Problem 5Repeat Example 5, where the binomial experiment consists of two rolls of a die instead
In Problem find the indicated sum. 10 Exfi if x 2i and fi = 3i for i = i=6 3i for i= 6, 7, ..., 10
In Problem find the indicated sum. 5 Σ(x – 15), if i=l xi = si, fi = 2, for i = 1, 2, ...,
The probability of recovering after a particular type of operation is .5. Eight patients undergo this operation. For the binomial distribution,(A) Write the probability function.(B) Construct a
Graph the data in the following table using a divided bar graph. State Gasoline Prices, April 2017 Price Before Tax ($ per gallon) State California Hawaii Michigan New
Repeat Example 7 for four patients.Data from Example 7The probability of recovering after a particular type of operation is .5. Eight patients undergo this operation. For the binomial
In Problem find the indicated sum. 8 xf if x = i and fi = i for i = 5, 6, 7, 8 i=5
In Problem find the indicated sum. Σ(x – 3.5)2fif x = i + 1 f = 3, for i = 1, 2, 3, 4 1, Σα i=l
(A) Find the mean and standard deviation of the following set of ungrouped sample data.(B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard
Graph the data in the following table using a broken line graph. U.S. Postal Service Employees Year Number of Employees 1990 1995 2000 2005 2010 2015 760,668 753,384 787,538 704,716 583,908 491,863
In Problem find the standard deviation for each set of grouped sample data using formula (5).Formula 5 Interval Frequency 0.5-3.5 3.5-6.5 6.5-9.5 9.5-12.5 257 1
(A) Find the mean and standard deviation of the following set of ungrouped sample data.(B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard
Find the mean, median, and mode for the sets of ungrouped data given in Problem.1, 2, 2, 3, 3, 3, 3, 4, 4, 5
Refer to Problem 9. If the data were presented in a bar graph, would horizontal bars or vertical bars be used? Could the data be presented in a pie graph? Explain.Data from Problem 9Graph the data in
In Problem find the standard deviation for each set of grouped sample data using formula (5) on page 525.Formula 5 Interval 0.5-3.5 3.5-6.5 6.5-9.5 9.5-12.5 Frequency 5 1 2 7
Graph the data in the following table using a pie graph. Federal Income by Source, 2015 Source Personal income tax Social insurance taxes Corporate income tax Borrowing to cover deficit Other Income
Find the mean, median, and/or mode, whichever are applicable, in Problem. Flavor Vanilla Chocolate Strawberry Pistachio Cherry Almond mocha Number Preferring 139 376 89 105 63 228
Find the mean, median, and mode for the sets of ungrouped data given in Problem.1, 1, 1, 1, 2, 3, 4, 5, 5, 5
Find the mean, median, and/or mode, whichever are applicable, in Problem. Car Color Red White Black Blue Brown Gold Number Preferring 1,324 3,084 1,617 2,303 2,718 1,992
Thirty-two people were chosen at random from among the employees of a large corporation. Their commute times (in hours) from home to work were recorded in the following table:(A) Construct a
The starting salaries (in thousands of dollars) of 20 graduates, chosen at random from the graduating class of an urban university, were determined and recorded in the following table:(A) Construct a
Find the mean for the sets of grouped data in Problem. Interval Frequency 0.5-2.5 2.5-4.5 4.5-6.5 6.5-8.5 257 r 1
In April 2017, the average price of a gallon of gasoline in the United States was $2.47. Of this amount, 126 cents was the cost of crude oil, 57 cents the cost of refining, 20 cents the cost of
Find the mean for the sets of grouped data in Problem. Interval 0.5-2.5 2.5-4.5 4.5-6.5 6.5-8.5 Frequency 5 1 2 7
Which single measure of central tendency—mean, median, or mode—would you say best describes the following set of measurements? Discuss the factors that justify your preference.
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.The range for a set of sample measurements is less than or equal to the
The following table shows price–earnings ratios of 100 common stocks chosen at random from the New York Stock Exchange.(A) Construct a frequency and relative frequency table using a class interval
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.The sample standard deviation is less than or equal to the sample
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.The range for a set of measurements is greater than or equal to 0.
One hundred healthy mice were weighed at the beginning of an experiment with the following results:(A) Construct a frequency and relative frequency table using a class interval of 2, starting at
Which single measure of central tendency—mean, median, or mode—would you say best describes the following set of measurements? Discuss the factors that justify your preference.
Graph the data in the following table using a broken-line graph. Annual World Population Growth Growth (millions) Year 1900 1925 1950 1975 2000 2025 11 21 46 71 80 71
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.Given a set of sample measurements that are not all equal, the sample
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.If x1, x2 is the whole population, then the population standard
One way to gauge the toll of the AIDS epidemic in Sub-Saharan Africa is to compare life expectancies with the figures that would have been projected in the absence of AIDS. Use the broken-line graphs
Graph the data in the following table using a double bar graph. Recommended Daily Allowances Males Age 15-18 375 60 100 Grams of Carbohydrate Protein Fat Females Age 15-18 275 44 73
A data set is formed by recording the results of 100 rolls of afair die.(A) What would you expect the mean of the data set to be? The median?(B) Form such a data set by using a graphing calculator to
In Problem discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.The sample variance of a set of measurements is always less than the
A data set is formed by recording the sums on 200 rolls of a pair of fair dice.(A) What would you expect the mean of the data set to be? The median?(B) Form such a data set by using a graphing
A data set is formed by recording the sums in 100 rolls of a pair of dice. A second data set is formed by recording the results of 100 draws of a ball from a box containing 11 balls numbered 2
The U.S. Environmental Protection Agency estimated that of all emissions of greenhouse gases by the United States in 2014, carbon dioxide accounted for 81%, methane for 11%, nitrous oxide for 6%, and
A data set is formed by recording the results of rolling a fair die 200 times. A second data set is formed by rolling a pair of dice 200 times, each time recording the minimum of the two numbers.(A)
(A) Construct a set of four numbers that has mean 300, median 250, and mode 175.(B) Let m1 > m2 > m3. Devise and discuss a procedure for constructing a set of four numbers that has mean m1, median
(A) Construct a set of five numbers that has mean 200, median 150, and mode 50.(B) Let m1 > m2 > m3. Devise and discuss a procedure for constructing a set of five numbers that has mean m1, median m2,
Graph the nutritional information in the following table using a double bar graph. Fast-Food Burgers: Nutritional Information Calories 268 154 2-oz burger, plain 2 addl. oz of beef I slice cheese 3
Find the mean and standard deviation for each of the sample data sets given in Problem.The earnings per share (in dollars) for 12 companies selected at random from the list of Fortune 500 companies
Find the mean, median, and mode for the data in the following table. Price-Earnings Ratios for Eight Stocks in a Portfolio 5.3 10.1 12.9 8.4 18.7 16.2 35.5 10.1
Find the mean and standard deviation for each of the sample data sets given in Problem.The checkout times (in minutes) for 12 randomly selected customers at a large supermarket during the store’s
Refer to Problem 21. Suppose that you are trying to limit the fat in your diet to at most 30% of your calories, and your calories down to 2000 per day. Should you order the quarter-pound bacon
Find the mean, median, and mode for the data in the following table. State Gasoline State Wisconsin New York Connecticut Nebraska Kansas Texas California Tennessee Tax, 2017 Tax (cents per
Find the mean and standard deviation for each of the sample data sets given in Problem.The lives (in hours of continuous use) of 100 randomly selected flashlight batteries are:
Find the mean and median for the data in the following table. Life (Hours) of 50 Randomly Selected
Find the mean and standard deviation for each of the sample data sets given in Problem.The price–earnings ratios of 100 randomly selected stocks from the New York Stock Exchange are:
For statistical studies, U.S. states are often grouped by region: Northeast, Midwest, South, and West. The 1965 total public school enrollment (in millions) in each region was 8.8, 11.8, 13.8, and
Find the mean and median for the data in the following table. Price Earnings Ratios of 100 Randomly Chosen Stocks from the New York Stock
Would a pie graph be more effective or less effective than the bar graph shown in presenting information on the most popular destinations of U.S. college students who study abroad? Justify your
Find the mean and standard deviation for each of the sample data sets given in Problem.The reaction times (in minutes) of a drug given to a random sample of 12 patients are:
Find the mean, median, and mode for the data in the following table that gives the percentages by state of students graduating from college in 2015 who had student loan debt. College Graduates with
Use the broken-line graph shown to estimate the median age in 1900 and 2000. In which decades did the median age increase? In which did it decrease? Discuss the factors that may have contributed to
Find the mean and standard deviation for each of the sample data sets given in Problem.The mouse weights (in grams) of a random sample of 100 mice involved in a nutrition experiment are:
Find the mean, median, and mode for the data in the following table. International Tourism Receipts, 2015 Country Receipts (billion $) United States China Spain France Thailand United
Find the mean and standard deviation for each of the sample data sets given in Problem.The grade-level reading scores from a reading test given to a random sample of 12 students in an urban high
In 1980 in the United States, 6% of the inmates of state prisons were incarcerated for drug offenses, 30% for property crimes, 4% for public order offenses, and 60% for violent crimes; in 2014 the
Find the mean and median for the data in the following table. Mouse Weights
One hundred seniors were chosen at random from a graduating class at a university and their grade-point averages recorded:(A) Construct a frequency and relative frequency table using a class interval
Find the mean and standard deviation for each of the sample data sets given in Problem.The grade-point averages of a random sample of 100 students from a university’s graduating class are: Interval
Find the mean and median for the data in the following table. Blood Cholesterol Levels (milligrams per
Find the mean, median, and mode for the data in the following table. Top Ten Countries of Birth of U.S. Foreign-Born Population, 2015 Country Mexico China India Philippines El
Find the mean and median for the grouped data in the following table. Graduating Class
Compute the median for the grouped data of entrance examination scores given in Table 1 on page 514. Table 1 Entrance Examination Scores Class
Find the mean and median for the grouped data in the following table. U.S. Presidents' Ages
Prices for emerald-shaped diamonds from an online trader are given in Table 2. Repeat Example 3 for this data with the linear model p = 5,600c – 1,100 where p is the price of an emerald-shaped
The inverse ofprovided that D ≠ 0.(A) Use matrix multiplication to verify this formula. What can you conclude about A–1 if D = 0?(B) Use this formula to find the inverse of matrix M in Example 3.
In which of Problems 19, 21, 23, 25, and 27 is the number of leftmost ones less than the number of variables?Data from Problem 19Write the solution of the linear system corresponding to each reduced
Repeat Example 1 forData from Example 1Find the modified problem for the following linear programming problem. Maximize subject to P = 3x₁ - 2x₂ + x3 x₁2x₂ + x3 = 5 -x₁3x₂ + 4x3 =
Excluding the nonnegative constraints, the components of a linear programming problem can be divided into three categories: the coefficients of the objective function, the coefficients of the problem
Form the dual problem: Minimize subject to C = 40x₁ + 12x2 + 40x3 2x₁ + x₂ + 5x3 = 20 4x₁ + x₂ + x3 ≥ 30 X1, X2, X30
Evaluate the expression.8!/3!5!
Find the modified problem for the following linear programming problem. Maximize P = 2x₁ + 5x₂ + 3x3 subject to x₁ + 2x₂ - X3 = 7 - -x1 + x₂ 2x3 = -5 x₁ + 4x₂ + 3x3 = 1 2x1 x₂ +
Refer to Example 1. Find the basic solution for which x2 = 0 and s1 = 0Data from Example 1(A) Use slack variables s1 and s2 to convert the following i-system (system of inequalities) to an e-system
Refer to the partially completed table of the six basic solutions to the e-systemIn basic solution (D), which variables are nonbasic? (A) (B) (C) (D) (E) (F) 2x1 + 5x2 + S₁ = 32 x₁ + 2x₂ + $₂
The simplex method can be used to solve any standard maximization problem. Which of the following minimization problems have dual problems that are standard maximization problems? What conditions
Solve using the simplex method: Maximize subject to P = 2x₁ + 3x2 -3x₁ + 4x₂ = 12 X2 x2 = 2 X1, X₂ = 0
Solve the following linear programming problem using the big M method: Maximize P = x₁ + 4x₂ + 2x3 subject to x₂ + x3 ≤ 4 X1 - x3 = 6 X₁X₂ X3 ≥ 1 X1, X2, X3 ≥ 0 -
Evaluate the expression.10!/2!8!
Solve the following minimization problem by maximizing the dual problem: Minimize subject to C = 40x₁ + 12x₂ + 40x3 2x₁ + x₂ + 5x3 = 20 4x₁ + x₂ + x3 ≥ 30 X1, X2, X30
Construct the table of basic solutions and use it to solve the following linear programming problem: Maximize P = 10x₁ + 25x₂ subject to 3x₁ + 2x₂ = 21 * + 5x < 20 X1, X₂ = 0
Solve the following minimization problem by maximizing the dual problem (see Matched Problem 1):Data from Matched Problem 1Form the dual problem: Minimize C= 16x₁ + 9x2 + 21x3 subject to x₁ +
Solve the following linear programming problem using the big M method: Maximize subject to P = x₁ - x₂ + 3x3 X₁ + x₂
Construct the table of basic solutions and use it to solve the following linear programming problem: Maximize subject to P = 36x₁ + 24x₂ x₁ + 2x₂ ≤ 8 X₁ + x₂ ≤ 5 = 2x₁ + x₂ =
Repeat Example 3 modified as follows:Data from Example 3A farmer owns a 100-acre farm and plans to plant at most three crops. The seed for crops A, B, and C costs $40, $20, and $30 per acre,
A farmer owns a 100-acre farm and plans to plant at most three crops.The seed for crops A, B, and C costs $40, $20, and $30 per acre, respectively. A maximum of $3,200 can be spent on seed. Crops A,
Solve the following linear programming problem using the big M method: Maximize subject to P = 3x₁ + 2x₂ x₁ + 5x₂ = < 5 2x₁+x₂ 12 X1, X₂ = 0 X2
Evaluate the expression.11!/9!2!
Solve the following minimization problem by maximizing the dual problem: Minimize subject to C= 5x₁ + 10x₂ x₁ - x₂ = 1 -X₁ + x₂ = 2 X1, X₂ ≥ 0
Construct the table of basic solutions and use it to solve the following linear programming problem: Maximize subject to P = 40x₁ + 50x₂ x₁ + 6x₂ = 72 x₁ + 3x₂ = 45 2x+3x₂ 72 X1, X₂
Solve the following linear programming problem using the big M method: Maximize P = 3x₁ + 5x2 subject to 2x₁ + x₂2₂ = 4 x₁ + 2x₂ = 10 X1, X2 = 0
Solve the following minimization problem by maximizing the dual problem: Minimize C = 2x₁ + 3x₂ subject to x₁2x₂ = 2 -x₁ + x₂ = 1 X1, X₂0

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