Mathematical Reasoning Questions and Answers

A pilot drops a care package to shipwreck victims. The pilot needs to release the package... A. before she is overhead B. when she is directly overhead C. just after passing the victims

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 second respectively. The length of the train is. (1) 45 metres (2) 40 metres (3) 54 metres (4) 50 metres

Given the conditional proposition p→ ~q. Write the symbolic form of the following related propositions: 1. Negation = ~p 2. Converse = ~q → p 3. Inverse = ~p → al 4. Contrapositive = q ~p

consolidated sleep, even if they do not get a full eight hours each night. (14) However, researchers argue that some modern sleep disorders such as insomnia may be the result of enforcing an unnatural sleep rhythm. (15) In other words, waking in the middle of the night may not indicate an inability to sleep, but rather an attempt by the brain to sleep "naturally." Question Which of the following is the best version of the underlined portion of sentence 5 (reproduced below)? In a study conducted in 2015, subjects were kept in darkness for 14 hours each night, this being an attempt to create conditions similar to natural wintertime conditions. (as it is now) night to make an effort to approximate night, taking a shot at imitating night to mimic

21. In order to market timeshare interests to the public, an individual must (a) get a real estate license (b) register with the Division of Real Estate (c) attend a half-day seminar given by the Division of Real Estate (d) register with the Utah Department of Commerce

Inflation risk refers to 1. increasing the dollar value II. decreasing the dollar value III. increasing the purchasing power IV. decreasing the purchasing power O I and II O II and III O II and IV

Blue collar workers are O dishwashers and maids O packagers O machine operators

Describe the similarities and differences between a random walk and a blased random walk. Use context in your example.

In a market, the consumer is not a O influencer O purchaser O seller

The economic equilibrium is a point wherein the O quantity supplied is greater than the quantity demanded quantity supplied is lower than the quantity demanded O quantity supplied is equal to the quantity demanded

(10p) Obtain a system of autonomous first-order differential equations in vector field format: (x + y² + x = e2t lÿ + y + 2x = 1

Find the mean, median, midrange, and mode. Round to four decimal places, if necessary. Then decide which you think is the most meaningful measure of average for the data set. The annual number of murders in a country from 1994 to 2009 was as follows: Year Murders Year Murders 1994 21,520 2002 16,526 1995 19,602 2003 16,150 1996 18,234 2004 16,638 1997 16,886 2005 17,062 1998 15,490 2006 16,931 1999 15,618 2007 16,400 2000 16,002 2008 15,251 2001 16,283 2009 14,314 (a) Find the mean. The mean is _____________ Alternate Answer: (b) Find the median. The median is __________ Alternate Answer: (c) Find the midrange. The midrange is ___.

$9,500 is invested in an account earning 6.3% interest (APR), compounded quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent. Function: f(t)=_____

Copy and complete the table below. Country Population(millions) GDP(millions) Per capita GDP 4. Brazil 150 $ 375,000 $ 5. China 1,175 $ 350,000 $ 6. Japan ? $ 2,844,000 $23,700.00 7. Mexico ? $ 194,850 $2,165.00 8. U.S.A. 250 $ $ 22,000.00 9. Use the per capita GDP from Exercises 4-10 above and rank the countries from highest to lowest.

The combined annual income for you and your partner is $170,000. Your accountant tells you to pay up to 20% of your annual income for mortgage. What would be your monthly payments? How much can you borrow on a 30 year mortgage at 5.5% compounded monthly?

There is a 1 in 12 chance that you will get "tails" when flipping a coin and then roll a 5 on a die.

In a local town election, every member of the town voted. The results were as follows: 25% for Carly, 35% for Jeb, 14% for Carlos, 16% for Kim, and x for the other candidates. If results were to be graphed on a circle graph, what would the degree measure of the other section? A. 72 B. 36 C. 20 D. 18 E. 10

A company's sales in Seattle were $340,000 in 2012, while their sales in Portland were $220,000 for the same year. Complete the following statements. Round your answers to two decimal places. a. Seattle's sales were _______ % larger than Portland's. b. Portland sales were _______ % smaller than Seattle's. c. Portland sales were _______ % of Seattle's.

Mary's credit card has a balance of $3,500. The APR for the credit card is 18%. She makes monthly payments of $1,000 and no additional purchases are made. How long will it take to pay off her credit card balance? How much interest will she pay?

You deposit $1,500 in a bank where you have a savings account. The bank pays you an interest of5% per month. But later, the bank reduces the interest rate from 5% to 3%, and that reduces your interest earnings from $75 to $45. What kind of risk explains the given situation? (a) Deposit risks (b)Savings risks (c)interest rate risks

Eldrick finished at the 76th percentile of a men's tennis league with 94 players in it. How many tennis players finished above him? .....tennis players finished above Eldrick.

group of College Algebra students were trying to determine whether f(x) = 4x and g(x)= 4 / x are inverse functions. The students correctly found that g(f(x)) = 1/x (a) Give an equation for (f .g)(x) = f(g(x)). Simplify as much as possible. f(g(x)) = ____________ (b) Use your answer to part a) and the students' conclusion that f(g(x)) = 1 / x to decide if f(x) and g(x) are inverse functions. (1) f and g ARE inverse functions (2) f and g ARE NOT inverse functions

John does 12 pushups on the first day of a 30-day month, and then increases the number of pushups by 3 pushups a day. How many pushups has he done by the end of the month?

N The altitude of a mountain peak is measured as shown in the figure to the right. At an altitude of 14,542 feet on a different mountain, the straight-line distance to the peak of Mountain A is 27.7473 miles and the peak's angle of elevation is 0 = 5.5900°. (a) Approximate the height (in feet) of Mountain A. (b) In the actual measurement, Mountain A was over 100 mi away and the curvature of Earth had to be taken into account. Would the curvature of Earth make the peak appear taller or shorter than it actually is? 14,542 ft (a) The height of Mountain A is approximately 28813 feet. (Do not round until the final answer. Then round to the nearest foot as needed.) (b) The peak would appear than it actually is. taller shorter 27.7473 mi

In Exercises , find the indicated measure. radius of a circle with a circumference of 427 meters circumference of a circle with a radius of 27 feet circumference of a circle with a diameter of 15 inches diameter of a circle with circumference 39 centimeters

If an experiment consists of throwing a four-sided die and then drawing a vowel (not including Y) at random from the second half of the English alphabet, how many points are there in the sample space?

A 100 kg box is sitting on top of a shelf and has 500 J of gravitational potential energy. If the box were to fall off the shelf, what would its velocity be just as it reaches the ground?

A 25 kg wagon is sitting on top of a 10 m high, frictionless ramp. If the wagon rolls down the ramp, what will its speed be at the bottom?

Draw a directed graph represented by the given adjacency matrix and answer the following questions. a b c d e f a (0 1 0 0 1 2) b (0 1 1 0 1 0) c (1 0 1 1 0 0) d (1 1 0 0 0 0) e (0 0 0 3 0 1) f (0 0 1 0 1 0) Write down the paths from d to a from the graph having the length of 3 or less.

The following argument is valid: p->r q-> r q OR NOT r __________ Therefore NOT p Select one: a. True b. False

How many moles are in 25.3 g of a sample of potassium nitrate (KNO₂)? (Atomic masses: K = 39.09, N = 14.00, and O = 15.99) Select one: 0.250 mol 0.650 mol 4.00 mol 0.370 mol

What is the mass of one mole of magnesium atoms? 6.022 x10^23 5.15 0.05 24.30

A circuit system is given in the figure. Assume the components fail independently. (a) What is the probability that the entire system works? (b) Given that the system works, what is the probability that the component A is not working? (a) The probability that the entire system works is (Type an integer or decimal rounded to five decimal places as needed.)

Write the statement in words. Let p= "The plane is on time." Let q= "The sky is clear." q-> ~P Choose the correct statement in words. ___________ _______________ clear _________ the plane ___________ on time.

One of the factors that is causing many companies to refine their costing systems to obtain more accurate measures of the costs of their products is rising prices a lack of competition for their products intense competition among manufacturers of similar products a shift toward increased direct costs

Let a ≠ 1 and a5 = 1. Then prove that Q(a) is a normal extension of Q and that G(Q(a)/Q) is isomorphic to Z4, the group of integers modulo 4.

X = 1.5+/-0.05 Y = 3.4+/-0.04 a) Find the bounds for the propagation error in; I)subtracting two numbers X - Y ii) Adding two numbers X + Y III) Multiplying two numbers X * Y iv) Dividing two numbers X/Y

Construct a truth table for ~(p V q). Use T for true and F for false. P q ~(p V q) T T T F F T F F

The sides of a nuclear power plant cooling tower form a hyperbola. The diameter of the bottom of the tower is 298 feet. The smallest diameter of the tower is 186 which is 417 feet above the ground. The tower is 566 feet tall. Find the width of the tower at a height of 51 feet, to 1 decimal place.

Determine whether the statement is a tautology, self-contradiction, or neither. (p→q) ∧ (p V q) A tautology A self-contradiction Neither a tautology nor a self-contradiction

Let R be a PID. Then prove that any nonzero proper ideal of R can be expressed as a finite product of maximal ideals of R.

Every 5th student entering a cafeteria is asked which candidate for president he/she prefers. This sampling technique is known as: stratified sampling systematic sampling cluster sampling simple random sampling

Given the following sets: U = {a, b, c, d, e, f, g, h, i} A = {a, c, d, f, i} B = {b, c, d, f, g} C = (a, b, f, i} Find A'U C' {e, g} {b, c, d, e, g, h} {a, b, e, g, h, i} {a, c, d, e, g, h, i}

You want to test the effect that the amount of light has on growing bean plants. You have 20 plants and the ability to adjust the amount of light. Design an experiment to test what light has on bean plants. Include how you would randomly sort your plants into groups for your experiment.

Complete parts (a) and (b) based on the figure to the right. (a) What colored counters would have to be added to this set in order to represent - 1? (b) Could the question in part (a) be answered in more than one way? (a) What colored counters would have to be added to this set in order to represent - 1? counter(s) should be added. (b) Could the question in part (a) be answered in more than one way? A. Yes; for example, 1 red counter and 6 black counters could be added. B. Yes; for example, 6 red counters and 1 black counter could be added. C. Yes; for example, 3 red counters and 5 black counters could be added. D. No, the answer in part (a) is the only answer.

During the day, Sam's Soda Shop took in $352. That same day, Sam paid a total of $238 in bills. a) Was Sam's net worth more or less at the end of the day? by how much? b) What computation does part a) illustrate? a) Sam's net was by $ b) Select the correct computation. A. 238-(-352) B. 352-238 C. 238-352 D. 352-(-238)

If f(x)=x² - 6x + 14 and g(x) = -20x-k, determine the value of k so that there is exactly one point of intersection between the two functions.

18. A Ferris wheel loads passengers at a height 2 meters above the ground and carries them to height at most 16 meters above the ground. It takes 4 minutes for the wheel to rotate once fully. Draw the graph of an approximate function which models the height of a passenger on the Ferris wheel with respect to time where the passenger starts at the lowest point on the Ferris wheel. Make sure to include two periods.

Question 10 Flying Dog aspires to follow the Theory of Constraints management philosophy. Flying Dog is considering renting additional assembly equipment for $90,000. The equipment would increase capacity in the Assembly Department by 400 units a year. Should Flying Dog pursue renting the assembly equipment? A simple yes or no answer is not sufficient, you must support your answer with calculations.

Suppose you have 3 mats, 35 strips, and 17 units for a total count of 667. Briefly describe the exchanges you would make to keep the same total count but have the smallest possible number of manipulative pieces. What exchanges would give the smallest possible number of manipulatives? A. Replace mat(s) with strip(s) and replace strip(s) with unit(s). B. Replace unit(s) with strip(s). C. Replace strip(s) with unit(s). D. Replace strip(s) with mat(s). E. Replace mat(s) with strip(s). F. Replace unit(s) with strip(s) and replace strip(s) with mat(s).