# Mathematical Reasoning Questions and Answers

Math

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

Math

Mathematical ReasoningA 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.

Math

Mathematical ReasoningSelect 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.

Math

Mathematical ReasoningThe 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.

Math

Mathematical ReasoningIn 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

Math

Mathematical ReasoningNancy'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

Math

Mathematical ReasoningDetermine 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.

Math

Mathematical ReasoningJan 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?

Math

Mathematical ReasoningThe problem describes a debt to be amortized. (Round your answers to the nearest cent.)
A man buys a house for $370,000. He makes a $150,000 down payment and amortizes the rest of the purchase price with semiannual payments over the next 7 years. The interest rate on the debt is 9%, compounded semiannually.
(a) Find the size of each payment.
(b) Find the total amount paid for the purchase.
(c) Find the total interest paid over the life of the loan.

Math

Mathematical ReasoningIf n + 1 integers are chosen from the set
{1, 2, 3,..., 2n},
where n is a positive integer, must at least one of them be even?
To answer this question, let S = {1, 2, 3,..., 2n}, where n is a positive integer, and note that in S there are exactly _____
number of odd integers in T, it is ______ odd integers. Since n + 1 is _____ v for at least one of the elements of T to be even. Thus, the answer to this question is _____

Math

Mathematical ReasoningWhich of the following is true for Walter Gropius? (Select all that apply)
□ a. Gropius envisioned that workshop projects would attract commissions or production licenses
□ b. Gropius arranged painters such as Paul Klee and Wassily Kandinsky to teach principles of form
□ c. In Staatliches Bauhaus he created a new type of institution dedicated to training students in all aspects of de
□ d. He firmly believed that fine art came through mastery of craft
□ e. Gropius believed that students do not need to be given manual instructions in craft workshops
□ f. He saw the curriculum of the Bauhaus as a continuation of the Beaux-Arts training

Math

Mathematical ReasoningA plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices in the coordinate plane represents 1 ft. What is the approximate at approximately (0, 64), (64, 0), (0, -64), and (-64, 0). One unit area of the baseball diamond? Show your work.

Math

Mathematical ReasoningFind the constant of variation & for the inverse variation. Then write an equation for the inverse variation.
y= 2.5 when x = 9
3.6
k=3.6: y=-
k = 22.5; xy = 22.5
k = 22.5; y = 22.5×
k= 3.6; xy = 3.6

Math - Others

Mathematical ReasoningFind the statistic in the following situation.
One thousand students were recently surveyed about shopping. Fourteen percent of the sampled students reported that they shopped regularly.
True proportion of students that shop
1000
14%
Total number of students that shop

Math

Mathematical ReasoningThe term cash does not include
a. money on deposit that is available for unrestricted withdrawal.
b. notes receivable.
c. money orders.
d. checks.

Math

Mathematical ReasoningIf $1200 is invested at 4.5% annual interest, compounded continuously, when is it worth $30,000?
Round your answer to three decimal places.
The investment is worth $30,000 in i 73.12