# Ashford mat 126 (survey of mathimatical methods) complete course week

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Ashford MAT 126 Week 1 DQ 1

All numbers in our real number system are the product of prime numbers. Complete the following steps for this discussion:

1. List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger.
2. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. Make sure your work is clear and concise.
3. Find the LCM and the GCF for each set of numbers. Again, be clear and concise. Explain or show how you arrived at your answers.
4. In your own words, explain the meaning of your calculated LCM and GCF for the ages you selected.  Do not explain how you got the numbers; rather explain the meaning of the numbers. Be specific to your numbers; do not give generic definitions.
5. Respond to at least two of your classmates’ postings. Did your classmates calculate the LCM and GCF correctly? Are their interpretations correctly applied to the ages?

·         Week One Written Assignment Arithmetic Sequence (400+ Words)

Ashford MAT 126 Week 1 Quiz 20 MCQ’s

1- Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained exactly two of the three writing instruments?

2- Which property of real numbers does the following equation demonstrate?
4(x – 7) = 4x – 28

3- Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16

4- Let U = {5, 10, 15, 20, 25, 30, 35, 40}

A = {5, 10, 15, 20}

B = {25, 30, 35, 40}

C = {10, 20, 30, 40}.

Find A    B.

5- Which of the following expressions finishes the equation to demonstrate the associative property of addition?

(3+8)+5=

6-In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math.  How many students were taking a math class only?

7- Phil has 15 stamps of denominations \$0.37 and \$0.23. If the total value of the stamps is \$4.85 how many \$0.37 stamps does Phil have?

8- A car travels 359 miles on 6.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

9- Round to the nearest hundred. 3,653

10- Write the set using set-builder notation: {natural numbers greater than 11}.

11- Write the set using set-builder notation: {natural numbers greater than 11}.

12- State whether the following sequence is arithmetic, geometric, or neither.
0, 1, 4, 9, 16, 25, 36, ….

13- The peak rate of a phone company is \$.22 per minute, and the off-peak rate is \$.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.

14- State whether the following sequence is arithmetic, geometric, or neither.
10, 10.25, 10.50625, 10.76890625, ….

15 – State whether the following sequence is arithmetic, geometric, or neither.
4, 15, 26, 37, 48, 59, …..

16 – Find the number of subsets the set has.  {1, 2, 3, 4, 5, 6, 7, 8, 9}

17 – Which set is infinite?

18 – Which set is finite?

19- Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained none of the three writing instruments?

20 – Find the general term of the set.  {2, 4, 6, 8, 10, . . .}

MAT 126 Week 2

Ashford MAT 126 Week 2 Quiz 20 MCQ’s

·           Multiply. 1B7twelve x 29twelve

·          Find the value of 327 in the mod 7 system

·          Determine the place value of the digit 8 in the number 3,684,159.

·          Evaluate (3 + 4) + 1 in the mod 5 system.

·          An arithmetic student needs at least a 70% average to receive credit for the course. If she scored 86%, 77%, and 64% on the first three exams, what is the lowest score she can get on the fourth exam to receive credit for the course?

·          Solve the equation. 2x – 4 = -10

·          Convert 1111two to base ten.

·          Three times a number is 10 less than five times the number. Find the number.

·          Find the value of y in the mod 9 system.
5 x y = 4

·          Which property of the real numbers is illustrated by the following statement?
(18 + 3) + 14 = 18 + (3 + 14)

·          Find the LCM of 18, 28, and 48

·          Write 426 in expanded notation.

·          Convert 11010two to base ten.

·         Solve the inequality: x + 14 < -11

·         Evaluate (2 x 4) x 2 in the mod 5 system

·         Dorothy is 6 years older than Ricardo. The product of their present ages is twice what the product of their ages was 6 years ago. How old is Dorothy?

·         Write CDIX in the Hindu-Arabic system.

·         Evaluate. 7-3

·         Find the LCM of 4 and 20.

·         Which property of the real numbers is illustrated by the following statement?
-6(17 + 14) = -6(17) + (-6)(14)

·         MAT 126 Week 2 Assignment (Is It Fat Free).

·         MAT 126 Week 2 Assignment Quadratic Equations.

 Ashford MAT 126 Week Two Discussion 1

This Discussion should be an eye opener for most students. We will look at our food shopping trends and how we spend our money. The outcomes should reveal some interesting facts.

1. Save a cash register receipt from a shopping trip to the food market, or borrow one from a family member or friend. The cost of four prepackaged food items that are sold by weight and the cost of at least three fresh fruits, or vegetables need to appear on the receipt. If you have no access to a receipt with these items, then you will need to go to the store and write down the cost information, or find a grocery advertisement online. Do not use liquids such as milk, juice, or soda because these are sold by volume and not by weight. Also, do not include ingredients like flour, sugar, oil, dry beans, etc. because these items are not prepackaged foods.
2. Fruits and vegetables are sold by the pound. Add up your prices per pound for the fruits and vegetables and find the average cost per pound. (Example: If bananas are .79 per pound and apples are .59 per pound, the average is calculated like this: (.79 + .59)/2 = 1.38/2 = .69 per pound on average for the two fruits.)
3. Locate the weight of your prepackaged food items. (For example, on a box of Frosted Flakes it says 15 oz.)
4. Add up all of the weights for your prepackaged items in ounces, and then add up all of the costs for your four prepackaged items.
5. From the totals, find the average cost per ounce of prepackaged items. Convert your results to cost per pound. (Hint: How many ounces in a pound?)
6. Now, compare the cost per pound of unprocessed food compared to prepackaged processed food.  Discuss your comparison. Are you amazed or did you expect these results?
7. Respond to at least two of your classmates’ postings. Do the calculations seem reasonable? Based on the posting you authored and the postings you read, do we seem to be paying for the product, convenience or the packaging?
 Ashford MAT 126 Week Two Discussion 2

This Discussion will help us learn to develop our own mathematical models, write down the equations and then solve the equations for unknown values using algebraic methods.

1. Refer back to Week One Discussion and use the names and ages of yourself and the other two people you selected. Make sure one is older than you and one is younger than you.
2. In years, how old was the older person when you were born?
3. Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. For example, if x = your age and the eldest person was a year older than you, you would write their age as x + 1. Then the equation would be: x + (x+1) = 150.
4. Explain the reasoning which helped you develop your equation.
6. In years, how old were you when the youngest person was born?
7. At some point during the lives of you and the youngest person, your age will be three times his/her age at that moment. Write an equation which models how old in years each of you will be when you are three times as old as the younger person.
8. Explain the reasoning which helped you develop your equation.
9. Solve the equation for your ages when you are three times as old as the youngest person. Are your answers reasonable?
10. Respond to at least two of your classmates’ postings. Check their equations and investigate for mathematical errors. Help with a constructive critique.

Ashford MAT 126 Week 3

Ashford MAT 126 Week 3 DQ 1

 Ashford MAT 126 Week Three Discussion 1

This Discussion will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete.

Part 1

1. In your own words, define the word “function.”
2. Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.
3. Explain why your example models a function. This is extremely important for your learning.
4. Give your own example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.  Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.
5. Explain why your example does not model a function.
 Ashford MAT 126 Week Three Discussion 2

This Discussion tests your ability to use a ruler and convert from Standard English measure to Metrics. You will then apply your knowledge of the geometric measurements of area and volume through real world problems.

1. Choose a room in your house. Measure the length, the width, and the height. Make sure you use feet and inches. Most rooms are not a whole number, such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc.
NOTE
: Do not use decimal numbers for the feet. For example, do not write 10.3 to mean 10’3”, because that is incorrect. Convert the measurements to all inches for step 2, and then convert back to square feet for step 3.
2. Record your dimensions and, using the appropriate formula, find the surface area of the room.
3. A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon.
4. If a gallon of paint costs \$22.95 plus 8% tax, what would be the total cost to paint the room?
5. One inch is equivalent to 2.54 centimeters. Convert your English measurements to metrics. Record each dimension in centimeters. Show your conversions.
6. Find the volume in cubic centimeters. Be neat and precise.
7. If each dimension (length, width, and height) is doubled, what happens to the volume of the room?  Show your work.
8. Respond to at least two of your classmates’ postings. Review their calculations and determine if their results seem reasonable for the size of the room.

Ashford MAT 126 Week 3 Quiz 20 MCQ’s

·          Find the circumference and area of the circle if d = 30. Use p = 3.14.

·          Find the vertex of the parabola.

·          Find the domain and range of the relation, and state whether or not the relation is a function.
{(3, 9), (3, 10), (3, 11), (3, 12)}

·          The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend.

·          The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.
Find the coordinates of the
x-intercept.
x + 5y = -15

·          Write the equation in the slope-intercept form.
4
x – 10y = 11

·          Adult tickets for a play cost \$19 and child tickets cost \$17. If there were 36 people at a performance and the theatre collected \$646 from ticket sales, how many children attended the play?

·          Determine whether or not the network is traversable.

·          Identify angles 6 and 7 as alternate interior, alternate exterior, corresponding, or vertical.
Find the domain and range of the relation, and state whether or not the relation is a function.
{(1, 4), (1, 5), (1, 6), (1, 7)}

·          Classify the angle as acute, right, obtuse, or straight.

·          In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 105 m and side c = 139 m.

·          A tree which is 93 feet tall casts a shadow of 26 feet. Find the angle of elevation of the sun.

·          Find the coordinates of the x-intercept.
2
x + y = -6

·          Determine whether or not the network is traversable.

·          Find the slope of the line passing through the points (0, -4) and (-6, 7).

·          Find the domain and range of the relation, and state whether or not the relation is a function.
{(7, 2), (8, 2), (9, 2), (10, 2)}

·          Find the vertex of the parabola.
y = -2x2 + 12x – 13

Ashford MAT 126 Week 4

 Ashford MAT 126 Week Four Discussion 1

The purpose of this Discussion is to analyze a financial plan that portrays a somewhat typical budgeting scheme. You will calculate expenses, a mortgage payment, and the effects of interest and financing on your budget. Show your math work for every answer and identify the answers with words.

1. Select the first three letters of your last name. Each letter has a numerical place value in the alphabet. For example, D is 4, L is 12, and Z is 26. Add the three place values together. For example, Wallace would yield WAL, which is 23+1+12 = 36.
2. Multiply your sum by 1500. This is your yearly income for Week Four Discussion 1.
3. Please use the following monthly expenses: Car payment = \$283.15, Car insurance = \$72, Utilities (includes water and power) = \$242.77, Internet = \$32, and Cell Phone = \$79.95.
4. You also have a yearly educational bill of \$7980 which includes textbooks and classes.
6. What percent of your monthly income is the car payment?
 Ashford MAT 126 Week Four Discussion 2

This Discussion allows you to demonstrate your understanding of the similarities and differences between classical probability and empirical probability.

1. In your own words, describe two main differences between classical and empirical probabilities.
2. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than that. Put all of the coins in a small bag or container big enough to allow the coins to be shaken around. Shake the bag well and empty the coins onto a table. Tally up how many heads and tails are showing. Do ten repetitions of this experiment, and record your findings every time.
• State how many coins you have and present your data in a table or chart.
• Consider just your first count of the tossed coins. What is the observed probability of tossing a head? Of tossing a tail? Show the formula you used and reduce the answer to lowest terms.
• Did any of your ten repetitions come out to have exactly the same number of heads and tails?  How many times did this happen?
• How come the answers to the step above are not exactly ½ and ½?
• What kind of probability are you using in this “bag of coins” experiment?
• Compute the average number of heads from the ten trials (add up the number of heads and divide it by 10).
• Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
• Did anything surprising or unexpected happen in your results for this experiment?

·         Ashford MAT 126 Week 4 Pythagorean Triples Assignment

Asford MAT 126 Week 4 Quiz 20 MCQ’s

·          A single card is drawn from a deck. What is the probability of getting a queen or a king?

·         In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?

·         A coat was reduced from \$250 to \$200. Find the percent of the reduction in price.

·         A company borrowed \$1500. It must make monthly payments of \$40.50 for 42 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate.

·         A \$400 loan is to be paid off in 66 monthly payments of \$11.62. The borrower decides to pay off the loan after 18 payments. Use the rule of 78s to find the amount of interest saved

·         A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a jack.

·         A company borrowed \$3100. It must make monthly payments of \$178.37 for 18 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate.

·         A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up.

·         Katie had an unpaid balance of \$1,734.50 on her credit card statement at the beginning of January. She made a payment of \$165.00 during the month. If the interest rate on Katie’s credit card was 7% per month on the unpaid balance, find the finance charge and the new balance on February 1.

·          In a classroom, the students are 11 boys and 1 girl. If one student is selected at random, find the probability that the student is a girl.

·         Express 3.46 as a percent.

·          The odds in favor of an event are 10:1. Find the probability that the event will occur.

·         Find the future value of an annuity if you invest \$1,550 annually for 5 years at 11.5% compounded annually.

·         Find the effective rate when the stated rate is 13.5% and the interest is compounded semiannually.

Ashford MAT 126 Week 5

 Ashford MAT 126 Week Five Discussion

This Discussion will give you the opportunity to calculate or identify the three measures of central tendency. You will be asked to select an appropriate real life situation in which one measure would be more appropriate than the other two measures of center.

1. Select a topic of interest to you and record the topic in your posting, for example: “What is the average number of hours people watch TV every week?” Make sure the question you ask will be answered with a number, rather than answers with words.
2. Write a hypothesis of what you expect your research to reveal. Example: Adults 21 years and over watch an average of 2.5 hours of TV per day.
3. Sample at least fifteen people and record their data in a simple table or chart; study the examples from Section 12-3.
4. You can gather your data at work, on the phone, or via some other method. This is your “Sampling Design.” Which of the four sampling techniques best describes your design?
5. Explain in moderate detail the method you used to gather your data. In statistics this venture is called the “Methodology.”
6. Make sure you break your sample into classes or groups, such as males/females, or ages, or time of day, etc.
7. Calculate the mean, median, and mode for your data as a whole.
8. Now calculate the mean, median, and mode of each of your classes or groups.
9. Indicate which measure of central tendency best describes your data and why. Then compare your results for each class or group, and point out any interesting results or unusual outcomes between the classes or groups. This is called a “comparative analysis” – using our results to explain interesting outcomes or differences (i.e., between men and women).
10. Comment on at least two of your classmates’ postings. Make sure you comment on their hypothesis (topic), their design, and whether you agree or do not agree with their best measure of central tendency.

·         MAT 126 Week 5 Assignment (Misleading)

Ashford MAT 126 Week 5 Quiz 20 MCQ’s

·          Find the area under the normal distribution curve between z = 1.52 and z = 2.43.

·         For the 20 test scores shown, find the percentile rank for a score of 86.
75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73

·         If a student’s percentile rank in a class of 400 students is 87, find the student’s class rank.

·         Find the value for the correlation coefficient r

·         Find the median.
2 27 38 55 49 9 53 34

·          Find Q1, Q2, and Q3 for the data set below.
5.4    2.0    6.8    3.1    2.9    4.7    2.1    5.0    1.9    3.4

·         The average amount customers at a certain grocery store spend yearly is \$636.55. Assume the variable is normally distributed. If the standard deviation is \$89.46, find the probability that a randomly selected customer spends between \$550.67 and \$836.94.

·          The average hourly wage of employees of a certain company is \$9.83. Assume the variable is normally distributed. If the standard deviation is \$4.58, find the probability that a randomly selected employee earns less than \$5.43.

·         Use a scatter plot to deternine the relationship between the x values and the y values.

·         If a student’s rank in a class of 400 students is 44, find the student’s percentile rank.

·         Fran’s percentile rank on an exam in a class of 500 is 85. Kelly’s class rank is 60. Who is ranked higher?

·         The area under a normal distribution curve that lies within one standard deviation of the mean is approximately _____.

·         Find the area under the normal distribution curve to the right of z = –1.03.

·         Find the area under the normal distribution curve to the right of z = –3.24.

·         Armia’s percentile rank on an exam in a class of 300 is 85. Sanjo’s class rank is 42. Who is ranked higher?

·         Determine whether a correlation coefficient of r = –0.405 is significant at the 5% level for a sample size of 22.

·         Find the standard deviation.
44 46 33 10 50 27

·         Find the median and the mean for the data set below.
5.4   2.0   6.8   3.1   2.9   4.7   2.1   5.0   1.9   3.4

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