Math

Mathematical Reasoning

Provide proofs or disproofs of the following arguments (use conditional proof and 4 quan like existential instantiation, universal generalization, etc.). Anyone who repairs his or her own car is highly skilled and saves a lot of money on repairs. Some people who repair their own cars have menial jobs. Therefore, some people with menial jobs are highly skilled

With boundary conditions ao = 3 Consider the Recurrence relation an +10an-1+25an-2=0 and a1 =17 1) What is the order of the above recurrence relation? 2) What are the characteristic roots of the recurrence equation?

Question 2 20 pts Which of the following scenarios is true? O Your friend claims that he makes a field goal 90% of the time. You run a simulation to test the claim. In your simulation 70% of the field goals were made. Since this simulation was only run once we cannot say that the results are statistically significant. O Your friend claims that he makes a field goal 90% of the time. You run a simulation to test the claim In your simulation 70% of the field goals were made. Since this is a simulation and not a real life situation, the difference between the two results is not statistically significant In the United States the melanoma rates are 1 per 100,000 people. In Australia the melanoma rates are 8 per 100.000 people. The hole in the ozone layer in Australia increases the rate of skin cancer and is statistically significant. O In Alaska the rate of skin cancer is 20% and in Hawaii the rate of skin cancer is 21%. The warmer temperatures appear to increase the rate of skin cancer and the difference in the rates of skin cancer is statistically significant.

* :crystallization make Sedimentary rock Igneous rock Metamorphic rock * extrusive igneous rocks formed at depth surface Wella Julio Glassy is one type of igneous rock composition O ic 's rock texture !

2. An ice cream shop surveyed their customers to determine the number of times a person comes into their shop per month. a • 200 adults were surveyed and 50 children were surveyed. • The average adult responded that they come to the shop 6 days in a month with a standard deviation of 2. The margin of error was calculated to be 0.3. • The average child responded that they come to the shop 5 days in a month with a standard deviation of 3. The margin of error was calculated to be 0.8. a What does the margin of error for adults tell the owner of the shop? O The average adult will come to the shop between 4 and 8 times a month. O The average adult will come to the shop between 5.7 and 6.3 times a month. O The average adult will come to the shop between 1.7 and 2.3 times a month. O The shop owner can expect between 140 and 260 adult customers a month.

Answer each of the following questions. Clearly indicate the necessary steps, including formula substitutions, diagrams, graphs, charts, etc. No work = no credit! 1. Given: I. V36 + V64 II. V25 V9 III. V10 149 Which of the given expressions results in a irrational number? Explain.

= EQUATIONS Solving a word problem using a system of linear equations of th... Kimbe Ravi the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 3 clients who did Plan A and 8 who did Plan B. On Saturday there were 5 clients who did Plan A and 2 who did Plan B. Ravi trained his Friday clients for a total of 7 hours and his Saturday clients for a total of 6 hours. How long does each of the workout plans last? Length of each Plan A workout: /hour(s) Length of each Plan B workout: hour(s) X 5 ?

Pulle completion Once started, this test must be completed in one sitting. Do not leave the test before clicking Save and Submit. Remaining Time: 1 hour, 26 minutes, 49 seconds. * Question Completion Status: 16 20 35 40 50 65 76 8 95 100 11 125 135 140 15 165 175 185 195 205 215 225 235 245 250 26 27 28 29 30 31 32 33 34 L A Moving to another question will save this response. Question 26 of Question 26 3 points Save Provide an appropriate response. variable on the horizontal axis and the variable on the vertical axis. A scatter diagram locates a point in a two dimensional plane. The diagram locates the study; explanatory explanatory, response response; explanatory response; study << < Question 26 of 35 L Moving to another question will save this response. MacBook Air

mpletion Status: 16 20 30 40 50 60 70 80 95 103 11 129 130 140 150 160 170 185 195 205 210 220 230 240 250 L 26 A Moving to another question will save this response. Question 27 Provide an appropriate response. If the coefficient of determination is close to 1, then the linear correlation coefficient is close to zero. the least squares regression line equation has no explanatory value. the least squares regression line equation explains most of the variation in the response variable. the sum of the square residuals is large compared to the total variation. A Moving to another question will save this response. MacBook Air esc 80 0 F1 F2 F3 F4 F5 F6 F8 2 # $ % & *

* Question Completion Status: 1 2 3 4. 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 A Moving to another question will save this response. 29 30 31 32 33 34 Question 15 Provide an appropriate response. Question 15 of 35 The sampling distribution of the sample mean is shown. If the sample size is n = 25, what is the standard deviation of the population from which the sample was drawn? Round to the nearest thousandth where appropriate. 3 points Save Ans 7.94 8 8.06 Oo= 1.5 O = 0.3 = 0.002 O 0 = 0.012 A Moving to another question will save this response. << Question 15 of 35 MacBook Air

ll Juleu, Lili test must be completed in one sitting. Do not leave the test before clicking Save and Submit. Remaining Time: 1 hour, 29 minutes, 33 seconds. * Question Completion Status: 10 25 30 46 56 65 70 8 96 105 11 125 135 145 15 165 175 185 195 205 215 225 235 245 255 26 27 28 29 30 31 32 33 L A Moving to another question will save this response. Question 3 Question 34 3 points Use the given degree of confidence and sample data to construct a confidence interval for the population mean p. Assume that the population has a normal distribution. The principal randomly selected six students to take an aptitude test. Their scores were: 77.0 75.1 75.6 81.3 88.4 77.4 Determine a 90% confidence interval for the mean score for all students. O 74.99<< 83.28 83.38 <u<74.89 O 74.89 << 83.38 O 83.28 < < 74.99 Question 34 of 35 A Moving to another question will save this response. MacBook Air

Ricardo obtains a 15-year, $114,250 mortgage at 4.0% on a house selling for $129,000. His monthly payment, including principal and interest is $845.09. a) Determine the total amount that Ricardo will pay for His mortgage. Total amount: $ (Round to the nearest dollar.) b) How must of the total cost will be interest? Total interest: $ (Round to the nearest dollar.) c) How much of the first payment on the mortgage is applied to the principal? Amount applied to principal: $ (Round to the nearest cent.)

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