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Quantitative Reasoning Final Exam: Exercises and Solutions, Exams of Quantitative Techniques

A collection of exercises and solutions related to quantitative reasoning, covering topics such as logic, truth values, deductive and inductive reasoning, percentages, and fractal geometry. It provides a valuable resource for students preparing for a final exam in quantitative reasoning, offering practice problems and explanations to enhance understanding and problem-solving skills.

Typology: Exams

2024/2025

Available from 11/14/2024

TheAcademicAce
TheAcademicAce 🇺🇸

580 documents

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Quantitative Reasoning Final Exam (GRADED A)
Questions and Verified Answers (100 OUT OF 100)
GRADED A
peas are vegetables and apples are fruit
Identify P?
- Peas are vegetables
Identify Q?
- Apples are fruit
What is the truth value of P?
- truth
What is the truth value Q?
- true
> > the entire proposition is true because both p and q are true
Premise: If you live in Los Angeles, then you live in California.
Premise: Amanda does not live in Los Angeles.
Conclusion: Amanda does not live in California.
California; Los Angeles inside
-
Invalid
Not sound
If airplanes can fly, then airplanes have wings
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

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Quantitative Reasoning Final Exam (GRADED A)

Questions and Verified Answers (100 OUT OF 100)

GRADED A

peas are vegetables and apples are fruit Identify P?

  • Peas are vegetables Identify Q?
  • Apples are fruit What is the truth value of P?
  • truth What is the truth value Q?
  • true

the entire proposition is true because both p and q are true Premise: If you live in Los Angeles, then you live in California. Premise: Amanda does not live in Los Angeles. Conclusion: Amanda does not live in California. California; Los Angeles inside

Invalid Not sound If airplanes can fly, then airplanes have wings

airplanes can fly ; airplanes have wings

True The 2015 revenue for Company A was $283 million, compared to $552 million for Company B. 51.3% of the revenue there are 206 bones in the body Yes, because the given statement can be either true or false, and it is a complete sentence If Jose owns a computer, then he owns a laptop converse: If Jose owns a laptop, then he owns a computer Inverse: If Jose does not own a computer, then he does not own a laptop contrapositive: If Jose does not own a laptop, then he does not own a computer.

Contrapositive and Conditional Converse and Inverse Australia is in the southern hemisphere.

If prices are increased, then consumers will have less disposable income. Premise: With less disposable income, spending will decrease and the economy will slow down. Conclusion: A price increase will slow down the economy. Yes, because there is a clear chain from "prices are increased" to "the economy will slow down." The total (after-tax) cost of a laptop computer is $1605.05. The local sales tax rate is 7.2%. What is the retail (pre-tax) price?

Suppose the value of a home changed by −23% over the past five years. Which of the following is true? The house decreased in value over the past five years because the relative change is negative Premise: All fish live in water. Premise: Whales live in water. Conclusion: Whales are fish.

fish inside live in water, 'x' on the outline of 'fish'

invalid ; not sound The population of city A is 21 % less than the population of city B, so city A's population is _____% of city B's 79% The Flanagans are having their fifth child. All of their children are academically gifted, so the youngest child is bound to be academically gifted as well. The argument is deductive because the premise is general and the conclusion is specific. One hundred twenty five people who grew up in either City A or City B were surveyed to determine whether they preferred country music or blues(both and neither were not acceptableresponses). Of those who grew up in CityB, 48 preferred blues and 19 preferred country music. Of those who grew up in City A 33

'x' inside fault bubble

valid; not sound . Draw a Venn diagram with two circles showing the given relationship between two sets. Let F=fire fighters and C=card players. Choose the correct answer below standard venn diagram

The diagram correctly shows the two circles overlap because some card players are firefighters p and q; p or q; if p, then q T,F,T,T

'if p, then q' is true when both p and q are true. Your answer is correct. 'if p, then q' is true when both p and q are false. Your answer is correct. 'if p, then q' is true when p is false and q is true. I have read every book released by a particular writer and they have been outstanding. Her next book is bound to be good, so I will certainly read it.

The argument is inductive because the premise is specific and the conclusion is general. fractal geometry Study of fragmented geometric irregular shapes, such as those in lining of intestine Why is fractal geometry useful? It can be used to create shapes that look more like naturally existing shapes How do fractal dimensions differ from dimensions in Euclidean geometry? They can have fractional values. What characterizes a self-similar fractal? The same pattern repeats under greater magnification Briefly describe what is meant by the process of iteration in generating fractals. Describe the generation of the Cantor set, the Sierpinski triangle, and the Sierpinski sponge. Describe the fractal dimension of each a rule; self similar fractal

third; a line segment; less than 1

equilateral ; black; between 1 and 2

27; 2 and 3

Fractal According to the video, what is the fractal dimension of the given object?

According to the video, how many times longer is L than L0? 4/ Test 4


46 N ; 102 W 46 S ; 78 E 122.33 degrees 122 19' 48"

A slow pitch softball diamond is actually a square 61 ft on a side. How far is it from home to second base?

We have an expert-written solution to this problem! 2/15 circle 48 degrees Similar Triangles: Larger: (B) 16; (c) 40; missing A A = 36 B= 30 Suppose you magically tripled in size. That is, your height, width, and depth increased by a factor of

By what factor has the amount of material required for your clothes increased? factor of 9 We have an expert-written solution to this problem! A circle with a diameter of 23

It is a good model if the speed is constant for 8 hours. An air duct in a stadium has a circular cross section with a radius of 18 inches and a length of 35 feet and is open at both ends. What is the volume of the duct, and how much paint (in square feet) is needed to paint the exterior of the duct? 247.40 ft^

329.87 ft^ 88 meters of fence 484 square meters 616 square meters

The area of the circular enclosure is greater than that of the square enclosure. This suggests that a circle provides a greater area than a square for a fixed perimeter. 4^x = 5 5

You can rent time on computers at the local copy center for a $

setup charge and an additional $5. for every 10 minutes. How much time can be rented for $23? r = 7 + 0.55t

29 mins is reasonable A toxic radioactive substance with a density of 7 milligrams per square centimeter is detected in the ventilating ducts of a nuclear processing building that was used 35 years ago. If the half- life of the substance is 20 years, what was the density of the substance when it was deposited 35 years ago? 23.5 mg If prices increase at a monthly rate of 1.1%, by what percentage do they increase in a year? 14.0% y = 3x + 7 slope = 3 y-intercept = 7 The average price of a home in a town was

In 13 weeks? The water depth varies with respect to time with a rate of change of −5 in./week.

Decreased by 40 Decreased by 65 log10(3 + x )= 4. x=39807. The water reservoir for a city is shaped like a rectangular prism 250 meters long, 70 meters wide, and 13 meters deep. At the end of the day, the reservoir is 75 % full. How much water must be added overnight to fill the reservoir? 56, 875 cubic meters Find the angular size of a circular object with a 3 - inch diameter viewed from a distance of 5 yards 0.95 degrees

A roof with a pitch of 3 in 10 or a roof with a slope of 2/5. 2/5 is steeper