MATH C277: Finite Mathematics
Access The Exact Questions for MATH C277: Finite Mathematics
💯 100% Pass Rate guaranteed
🗓️ Unlock for 1 Month
Rated 4.8/5 from over 1000+ reviews
- Unlimited Exact Practice Test Questions
- Trusted By 200 Million Students and Professors
What’s Included:
- Unlock Actual Exam Questions and Answers for MATH C277: Finite Mathematics on monthly basis
- Well-structured questions covering all topics, accompanied by organized images.
- Learn from mistakes with detailed answer explanations.
- Easy To understand explanations for all students.
Free MATH C277: Finite Mathematics Questions
Wildlife biologists tagged 68 fish and released them into a lake. Later, they caught 119 fish and found that 17 of them were tagged.
Approximately how many fish are in the lake?
-
7,956
-
476
-
1,156
-
204
-
85
Explanation
Correct Answer:
476
Explanation:
First calculating the ratio of the tagged fish that were caught to the total fish tagged.
119 ÷ 17 = 4
Hence there will be 4 times more fish in the lake compared to the one caught.
119 * 4 = 476.
Why Other Options Are Wrong:
7,956
This is far too high and would suggest a tagging rate that doesn’t match the 17 tagged fish found in the sample.
1,156
Also too high; it results from miscalculating the proportion or misusing the cross-multiplication step.
204
Too low; this would imply an unrealistically high tag rate in the sample, inconsistent with 17 out of 119 being tagged.
85
This is almost the number of tagged fish, not the total population estimate. It significantly underrepresents the lake population.
Simplify the above expression.
Explanation
Correct Answer:
Explanation:
=
=
=
Why Other Options Are Wrong:
11/8
This is incorrect because 11/8 is a small fraction (1.375), far less than the sum of two mixed numbers like 3 3/12 and 5 5/8, which should exceed 8. The addition of whole numbers 3 + 5 = 8, plus fractional parts, results in a value much larger than 11/8, indicating this option likely stems from a division error or misinterpretation of the problem as a fraction division rather than addition.
101/12
This is incorrect because 101/12 (approximately 8.4167) is a fraction that does not reflect the sum of 3 3/12 and 5 5/8, which should be around 8 or 9 when considering the whole numbers and fractions. The numerator 101 suggests a miscalculation, possibly from adding numerators incorrectly or confusing the operation, making it an invalid result for this addition problem.
29/12
This is incorrect because 29/12 (approximately 2.4167) is too small to represent the sum of 3 3/12 and 5 5/8, which involves adding numbers greater than 8. This option might arise from an erroneous subtraction or division of the fractions rather than their addition, and it fails to account for the whole number components correctly.
Simplify
- 2.5 × 103
- 2.5 × 10-3
- 2.5 × 107
- 2.5 × 10-7
Explanation
First divide the coefficients: 5/2 = 2.5. Next apply the laws of exponents by subtracting the exponents when dividing powers of ten: 102 ÷ 105 = 102-5 = 10-3. Combine the results to get 2.5 × 10-3, which matches one of the answer choices.
Correct answer
2.5 × 10-3
Which list of numbers is in order from least to greatest?
-
2.23565, 2.2356, 2.2359, √5
-
5, 2.23565, 2.2359, 2.2356
-
√5, 2.2359, 2.2356, 2.23565
-
2.2356, 2.23565, 2.2359, √5
Explanation
Correct Answer:
2.2356, 2.23565, 2.2359, √5
Explanation:
To determine the correct order from least to greatest, compare the decimal numbers and the square root of 5 (approximately 2.23607). Start with the decimals: 2.2356 is the smallest as its digits are 2.2356, followed by 2.23565 (which adds a 5 in the fifth decimal place), then 2.2359 (which has a 9 in the fourth decimal place, making it larger than the others). Next, compare these to √5 (2.23607), which is greater than 2.2359 because 2.23607 exceeds 2.2359 at the fourth decimal place. Thus, the order 2.2356, 2.23565, 2.2359, √5 is correct as it progresses from the smallest to the largest value.
Why Other Options Are Wrong:
2.23565, 2.2356, 2.2359, √5
This is incorrect because 2.2356 is listed before 2.23565, but 2.2356 is less than 2.23565 due to the additional 5 in the fifth decimal place of 2.23565. The sequence should start with the smallest number, 2.2356, making this order invalid as it reverses the correct progression.
5, 2.23565, 2.2359, 2.2356
This is incorrect because 5 is much larger than the other numbers, which are all around 2.23 to 2.24, including √5 (approximately 2.23607). Placing 5 first violates the least-to-greatest order, as it should be the last number if included, rendering this sequence incorrect.
√5, 2.2359, 2.2356, 2.23565
This is incorrect because √5 (approximately 2.23607) is greater than 2.2359, 2.2356, and 2.23565, so it should be last in the sequence. Starting with √5 places the largest value first, which contradicts the requirement for order from least to greatest.
The ratio of women to men at a certain college is 5 to 4. There are 2,480 men. What is the total population of the college?
- 4464
- 6944
- 3100
- 5580
Explanation
The ratio shows that men represent 4 equal parts. If 4 parts equal 2,480 men, then 1 part equals 2,480 ÷ 4 = 620. Women make up 5 parts, so the number of women is 5 × 620 = 3,100. Adding men and women together gives a total population of 2,480 + 3,100 = 5,580.
Correct answer
5580
2[18 - 6(32 - 5)/8 + 4]
- -113/2
- 8
- 20
- 38
Explanation
Start inside the parentheses: 32 = 9, and 9 - 5 = 4. Multiply to get 6 × 4 = 24, then divide by 8 to get 3. Substitute back into the expression: 18 - 3 + 4 = 19. Finally, multiply by 2 to get 2 × 19 = 38.
Correct answer
38
Which property in the real number system is illustrated in this problem?
7⊕8=8⊕7
5 = 5
-
Associative Property
-
Closure
-
Commutative Property
-
Distributive Property
Explanation
Correct Answer:
Commutative Property
Explanation:
The commutative property states that changing the order of numbers in an operation does not affect the result. This applies to both addition and multiplication. In the expression shown, 7⊕8=8⊕7, the numbers are reversed in order, yet the equality remains true, demonstrating that the operation is commutative.
Why Other Options Are Wrong:
Associative Property
This property refers to changing grouping (parentheses), not order. It involves expressions like (a + b) + c = a + (b + c). Since no grouping is shown, it doesn’t apply here.
Closure
Closure means that performing an operation on two real numbers results in another real number. While true in general, it doesn’t explain the equality shown in this problem.
Distributive Property
The distributive property involves expressions like a (b + c) = ab + ac. This has nothing to do with reversing operands, so it is not applicable here.
The following numbers are listed according to a pattern: … Which of the following could be the next number in the pattern?
Explanation
Explanation
Look at how the denominators change: 2 → 4 → 12 → 48 → 240. Each step multiplies by the next integer: 2 × 2 = 4, 4 × 3 = 12, 12 × 4 = 48, 48 × 5=240. So the next denominator should be 240 × 6 = 1440. Therefore, the next term is .
Correct answer
A survey of 85 college students is taken to determine participation in intramural sports. 44 students participate in soccer, 40 in basketball, and 30 in volleyball. 19 students participate in soccer and basketball, 13 in basketball and volleyball, and 11 in soccer and volleyball. 6 students participate in all 3 intramural sports.
Match the description with the correct number of students.
Answer options may be used more than once or not at all. Select your answers from the pull-down list.
The number of students who participated only in soccer
The number of students who participated in none of the 3 sports in the survey
The number of students who participated only in volleyball
The number of students who participated in both soccer and basketball, but not volleyball
The number of students who participated in both soccer and volleyball, but not basketball
The number of students who participated only in basketball
-
20, 8, 12, 13, 5, 14
-
44. 8, 12, 13, 5, 14
-
20, 77, 12, 13, 5, 14
-
20, 8, 17, 13, 5, 14
Explanation
Explanation:
The number of students who participated only in soccer is 20 since the rest who also participated in soccer participated in other games.
The number of students who participated in none of the 3 sports in the survey is 8 since in the diagram only 8 students are out of the three sets.
The number of students who participated only in volleyball is 12 since the rest who also participated in soccer participated in other games.
The number of students who participated in both soccer and basketball, but not volleyball, is 13 students.
The number of students who participated in both soccer and volleyball, but not basketball, is 5 students.
The number of students who participated only in basketball is 14 students.
Correct answer:
20, 8, 12, 13, 5, 14
Why other options are wrong:
44. 8, 12, 13, 5, 14: The first option is wrong since it assumes even players who participated in other games but still participated in soccer.
20, 77, 12, 13, 5, 14: The second option is wrong since it assumes all the players who played all sports rather than those who didn’t.
20, 8, 17, 13, 5, 14: The third option (17) is wrong since it includes both player plates who played volleyball only and those who played soccer and volleyball while the question ask only those who played volleyball only.
Truncate 0.12345 to the fourth decimal place and explain your answer.
- 0.1235; Truncation rounds the fourth decimal place up from 4 to 5.
- 0.1235; Truncation leaves off digits after rounding the fourth decimal place.
- 0.1230; Truncation rounds the fourth decimal place from 4 to 0.
- 0.1234; Truncation leaves off digits past the fourth decimal place.
Explanation
Truncation means cutting off digits beyond a specified place value without rounding. To truncate 0.12345 to the fourth decimal place, you keep the first four digits after the decimal point and remove everything that comes after. Since truncation does not consider the value of the next digit, the 5 in the fifth decimal place is simply dropped.
Correct answer
0.1234
How to Order
Select Your Exam
Click on your desired exam to open its dedicated page with resources like practice questions, flashcards, and study guides.Choose what to focus on, Your selected exam is saved for quick access Once you log in.
Subscribe
Hit the Subscribe button on the platform. With your subscription, you will enjoy unlimited access to all practice questions and resources for a full 1-month period. After the month has elapsed, you can choose to resubscribe to continue benefiting from our comprehensive exam preparation tools and resources.
Pay and unlock the practice Questions
Once your payment is processed, you’ll immediately unlock access to all practice questions tailored to your selected exam for 1 month .