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MAT 143 Final Exam | Questions and Answers

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MAT 143 Final Exam | Questions and Answers Recently, one US dollar was worth about 12.73 Mexican pesos. How much would 150 U.S. dollars be worth in Mexican pesos? 1909.50 Mexican pesos Gasoline sells for 1.25 euro per liter. What is the price in U.S. dollars per gallon? $6.25 per gal Convert the temperature, as indicated. Round your answer to the hundredths, if appropriate. 70 degrees F, into Celsius 21.11 degrees C Decide which of the two given prices is the better deal. You can buy hair product in a 12-ounce bottle for $2.88 or in a 8-ounce bottle for $1.76. 8-ounce bottle for $1.76 What is the cost of lighting a 100-watt outdoor light for one week, if electricity costs 15 cents per kilowatt/hour? $2.52/week Of those who applied to the college, 30% were accepted and of those accepted, 10% enrolled. What percentage of those who applied, enrolled? 3% 963 people voted for the incumbent candidate out of 1778 voters. What percent voted for the incumbent? (Round answer to the nearest tenth.) 54.2% Find the scale ratio for a map if 1 inch on the map represents 10 miles on the ground. 1:633,600 A certain antihistamine is often prescribed for allergies. A typical dose for a 100 pound person is 20 mg for every 6 hours. How many mg of medicine would a 100-pound person receive in a day? 80 mg/day Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first quantity is the compared value and the second value is the reference value. Round answers to the nearest tenth if necessary. Last year the total revenue for Clearline phone company was $13.7 million while the revenue for its competitor, the Speakmore was $10.8 million. Absolute difference: $2.9 million Relative difference: 26.9% Calculate the population density. The population of the United States in 2015 was roughly 322 million. Express this as the number of people per square mile. The land area of the United States is roughly 3.80 million square miles. 85 people per square mile The national debt was about $17.8 trillion at the end of 2015. Express this quantity as the number of dollars per person. Assume a U.S. population was roughly 322 million in the year 2015. About $55,279.50 per person A company spent $12,600 this year on health insurance alone. If the total sales were $575,900, what percentage of total sales was spent on health insurance? 2.2% An organization estimated that in a particular year the entire population of the country spent $10.4 trillion in personal consumption. The major categories of the expenditures are the following: Durable goods: $1.2 trillion Nondurable goods: $2.7 trillion Services: $6.5 trillion a) What is the approximate annual per capita spending for personal consumption? Assume the population of the country is 310 million. b) Spending on health care was estimated to be $1.6 trillion that year. About what percentage of all personal spending was devoted to health care? Round your answer to a whole percent. a) $33,548.39 b) 15% Dinners frequently add 20% tip when charging a meal on to a credit card. a) What is the price of the meal without the tip if the total amount charged is $50.40. b) How much was the tip? a) $42.00 b) $8.40 Tom's monthly take-home pay (after taxes) is $60,000. If he pays 25% of his gross-pay (before taxes) in taxes. a) What is his gross pay? b) How much taxes, does he pay? a) $80,000 b) $20,000 The circle graph shows the percent of the total population of 78,000 of Springfield living in the given types of housing: Apts-40% Duplex-1% Townhouse-8% Condo-18% Single family-33% Find the number of people who live in single family houses. Round your result to the nearest whole number. 25,740 people The bar graph below shows the number of students by major in the college of Arts and Sciences. Math-200 History-290 English-400 Science-160 Other-190 What percent of students in the college are English majors (to the nearest tenth of a percent)? 32.7% The wages of the employees of a company are presented in this histogram. Assume that $6 is in the interval $6-$8, not $4-$6, similarly for $8, $10, and $12. $4-$6: 20 people $6-$8: 33 people $8-$10: 45 people $10-$12: 30 people $12-$14: 16 people How many employees earn at least $12 and less than $14 an hour? 16 Identify the type of graphs for the given data set. For qualitative data Bar graphs Identify the data. The mileage ratings for city driving of various subcompact cars are listed below: 27, 28, 10, 26, 34, 27, 21, 20, 19, 25, 17, 22, 28, 13, 23, 38, 19, 32, 25, 14, 11, 12. (Qualitative data or Quantitative data) Quantitative data Look at Test 1 questions 22-24 for a refresher on graph construction. The grades are given for a student for a particular semester. Use weighted means to find the grade point average. Assume the grade point values are A=4, B=3, C=2, D=1, and F=0. Round your answer to the nearest tenth when necessary. A-3 credit hours B-2 credit hours F-2 credit hours C-3 credit hours B-3 credit hours 2.5 Of the mean, median, and mode, which is (are) affected by outliers? The mean only Tell which of the following distributions would have the least variations. 100-meter times for male Olympic sprinters 100-meter times for college seniors 100-meter times for male college seniors 100-meter times for adults 100-meter times for male Olympic sprinters Exam results for 100 students are given below. median=83, mean=71, lowest score=20, highest score=88. Is the grade distribution left-skewed, right-skewed, symmetric, or none of the above? The grade distribution is left-skewed Bill needs an average of 70 on four tests in science to make the honor roll. What is the lowest score he can receive on the fourth test if his first three scores are 65, 72, and 64? 79 A teacher allows the students to each "throw out" their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 77.4. After the removal of the lowest test, the mean score becomes 81.75. What is the score of the removed test? 60 Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. The numbers below represent the test scores if nine students. 53,30,23,41,20,21,52,64,65 18.2 Obtain the five-number summary for the given data. The National Education Association collects data on the number of years of teaching experience of high-school teachers. A sample taken this year of 19 high-school teachers yielded the following data on number of years of teaching experience. 33, 14, 1, 20, 31, 9, 3, 11, 2, 22, 25, 1, 33, 26, 5, 17, 23, 21, 31 1, 5, 20, 26, 33 What are the quartiles of the distribution? The quartiles are values that divide the data into quarters. The lower quartile for wages at a coffee shop is $8.25, the upper quartile is $12.75. What can you conclude? Half the workers earn between $8.25 and $12.75, because the lower quartile has one-quarter of the workers below it while the upper quartile has one-quarter of the workers above it.

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Institution
MAT 143
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MAT 143

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MAT 143 Final Exam



Recently, one US dollar was worth about 12.73 Mexican pesos. How much would 150
U.S. dollars be worth in Mexican pesos?
1909.50 Mexican pesos

Gasoline sells for 1.25 euro per liter. What is the price in U.S. dollars per gallon?
$6.25 per gal

Convert the temperature, as indicated. Round your answer to the hundredths, if
appropriate.

70 degrees F, into Celsius
21.11 degrees C

Decide which of the two given prices is the better deal.

You can buy hair product in a 12-ounce bottle for $2.88 or in a 8-ounce bottle for $1.76.
8-ounce bottle for $1.76

What is the cost of lighting a 100-watt outdoor light for one week, if electricity costs 15
cents per kilowatt/hour?
$2.52/week

Of those who applied to the college, 30% were accepted and of those accepted, 10%
enrolled. What percentage of those who applied, enrolled?
3%

963 people voted for the incumbent candidate out of 1778 voters. What percent voted
for the incumbent? (Round answer to the nearest tenth.)
54.2%

Find the scale ratio for a map if 1 inch on the map represents 10 miles on the ground.
1:633,600

, A certain antihistamine is often prescribed for allergies. A typical dose for a 100 pound
person is 20 mg for every 6 hours. How many mg of medicine would a 100-pound
person receive in a day?
80 mg/day

Two measurements are given. Find the absolute difference and then find the relative
difference as a percentage. Assume that the first quantity is the compared value and the
second value is the reference value. Round answers to the nearest tenth if necessary.

Last year the total revenue for Clearline phone company was $13.7 million while the
revenue for its competitor, the Speakmore was $10.8 million.
Absolute difference: $2.9 million
Relative difference: 26.9%

Calculate the population density.

The population of the United States in 2015 was roughly 322 million. Express this as the
number of people per square mile. The land area of the United States is roughly 3.80
million square miles.
85 people per square mile

The national debt was about $17.8 trillion at the end of 2015. Express this quantity as
the number of dollars per person. Assume a U.S. population was roughly 322 million in
the year 2015.
About $55,279.50 per person

A company spent $12,600 this year on health insurance alone. If the total sales were
$575,900, what percentage of total sales was spent on health insurance?
2.2%

An organization estimated that in a particular year the entire population of the country
spent $10.4 trillion in personal consumption. The major categories of the expenditures
are the following:
Durable goods: $1.2 trillion
Nondurable goods: $2.7 trillion
Services: $6.5 trillion
a) What is the approximate annual per capita spending for personal consumption?
Assume the population of the country is 310 million.
b) Spending on health care was estimated to be $1.6 trillion that year. About what

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