Mathematical Reasoning Questions and Answers

Select the three prepositional phrases Spanning 17 098 242 square kilometers of land and water Russia is the largest nation on earth followed by Canada the United States China and Brazil

Using vertices to represent states and edges to represent borders which graph models the bordering relationship among the states shown Select the correct answer below O WA M OR WA MT ID OR

A college requires all incoming freshmen to live on campus The college has two freshman dormitories East and West For an upcoming school year there are 800 Incoming freshmen Which method evenly assigns the students to the two dormitories so that each Incoming freshman has a fair chance of being selected for either dormitory OA B Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each Incoming freshman with a positive number to East dormitory and assign each incoming freshman with a negative number to West dormitory D Using a two sided coin flip a coin for each incoming freshman If the coin lands on heads assign the freshman to East dormitory If the coin lands on tails assign the freshman to West dormitory OC Using a random number generator assign each incoming freshman a number eliminating duplicate numbers After each incoming freshman is assigned a number list the assigned numbers in ascending order Assign the first 400 numbers on the list to East dormitory and assign the last 400 numbers on the list to West dormitory Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each incoming freshman with an even number to East dormitory and assign each freshman with an odd number to West dormitory

Calculate the unit price to the nearest tenth of a cent and determine the better or best buy based on price alone 1 Theo Berken wants to purchase some batteries The cost of a 6 pack is 5 97 an 8 pack is 7 97 and a carton of four 4 packs is 9 97

Drag each label to the correct location on the table A local caf serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack The given frequency table shows the results of the survey If approximately 24 of the customers surveyed have a scone with their tea and approximately 36 of the customers surveyed buy a muffin complete the column and row headings for the given table Muffin Coffee Cookie Total Tea 40 120 160 Scone 100 80 180 110 50 160 Total 250 250 500

Consider the following argument 1 Statement Athletes are in good shape 2 Statement Alex is not in good shape 3 Conclusion Alex is not an athlete Is the above argument valid Decide by drawing an Euler diagram Select the correct answer below O The argument is valid O The argument is invalid mation to determine if the argument is valid or invalid

Mark s science club sold brownies and cookies to raise money for a trip to the natural history museum This table shows how many baked goods they sold in the morning and in the afternoon Morning Afternoon Brownies Cookies Total sales 40 32 20 25 What was the price of each item Brownies cost 74 00 43 75 each and cookies cost each

A movie theatre models the revenue from ticket sales in one day as a function of the ticket price p Here are two expressions defining the same revenue function p 120 4p 120p 4p 1 According to this model how high would the ticket price have to be for the theater to make 0 in revenue Explain your reasoning

Consider the following pattern. 1◆15 = 15 11◆15=165 111◆15 = 1665 1111◆15 = 16665 Predict the result of 111111 ◆ 15

A doctor is studying the effects that the amount of junk food has on blood pressure. As each patient enters his office, he/she fills out a survey about junk food. The doctor then takes the blood pressure of each patient. Is this an experimental or observational study? Explain your reasoning.

Select the correct answer. What is the key feature of the third-person omniscient point of view? A. It is told from the point of view of a specific character in the story. B.It is used to express the thoughts and feelings of the central character. C.It is used when directly addressing the reader or giving instructions. D. It has an all-knowing narrator who is aware of all the characters' perspectives.

The enrollment at a local business school has been decreasing linearly. In 2002, there where 970 students enrolled. By 2007, there were only 710 students enrolled. Determine the average rate of change of the school's enrollment during this time period, and write a sentence explaining its meaning.

In the year 2019, 14% of the college students said they didn't like their roommate. Suppose that several people took random samples of 150 college students from the population and computed the percent of students who didn't like their roommate. What would be the shape of the sampling distribution? skewed left uniform approximately normal skewed right

Nancy's car cost $14,400. She has enough money to make a down payment of $5,000. Her monthly payments are $210 for 48 months. How much greater is the deferred price than the original price? $4,320 $860 $10,080 $680

Determine whether the variable is qualitative or quantitative. Explain your reasoning. Age of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because age describes an attribute or characteristic. B. The variable is quantitative because age is found by measuring or counting. C. The variable is qualitative because age is found by measuring or counting. D. The variable is qualitative because age describes an attribute or characteristic.

Jan Ruell invested $32,000 in a business. She was to receive 5% on her original investment and share equally in any remaining net income. Her share of the remaining net income last year was $10,130. What were her total earnings for the year?