Mathematical Reasoning Questions and Answers

Five people (Alan, Barry, Carla, Duncan, and Erin) form a club, N = {A, B, C, D, E). Carla and Erin are women, and the others are men. If they choose a secretary randomly, find the odds against Alan becoming secretary. The odds against Alan becoming secretary are (Type whole numbers.) to

Let p and q represent the following statements: p: It is not raining. q: I will carry an umbrella. Write the following statement using symbols only: If it is raining, then I will carry an umbrella.

You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 10 buns, 13 defrosted beef patties, and 8 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers double cheeseburgers regular cheeseburgers

Which type of statistical test is best used to test a claim when you are limited on time, money, or other resources? Experiment Observational Study Sample Survey Simulation

One serving of Campbell Soup Company's Campbell's® Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates. A typical slice of white bread provides 2 grams of protein and 11 grams of carbohydrates per slice. The U.S. RDA (Recommended Daily Allowance) is 60 grams of protein each day. (a) I am planning a meal of "beans on toast" and wish to have it supply one-half of the RDA for protein and 139 grams of carbohydrates. How should I prepare my meal? (Fractions of servings are permitted.) (b) Is it possible to have my meal supply the same amount of protein as in part (a) but only 74 grams of carbohydrates?

A questionnaire is sent out to a local community on a proposed real estate tax increase. This tax increase would help to counteract the rising educational costs for the local school. Two questions were sent out to the community: 1. The Little Town School District has one of the lowest per student expenditure rates in the state. This has resulted in high failure rates, low standardized test scores, and students are struggling to get into tests and colleges. • Do you support the real estate tax increase in order to help fund the schools? 2. The Little Town School District has one of the lowest per student expenditure rates in the state. Raising the real estate tax could potentially create a tax rate that is higher than people can afford. This may result in them having to give up their homes because they cannot support the increased tax rate. • Do you support the proposed real estate tax increase? One of the questions resulted in 60% of the population supporting the tax increase, while the other question resulted in a 10% of the population supporting the real estate tax increase. Which produced the higher result and why? The first showed the 60% and the second showed the 10% because there was no control question. The first showed the 60% and the second showed the 10% based on the wording of the question. The first showed the 10% and the second showed the 60% because there was no control question. The first showed the 60% and the second showed the 10% because the questionnaire was not given out to a simple random sample of the population.

To save for graduate school, a student invests $2400 semiannually in an ordinary annuity with 6% interest compounded semiannually. Determine the accumulated amount in the student's annuity after 30 years. The accumulated amount will be $ (Round to the nearest cent as needed.)

To start a new business Beth deposits $2500 at the end of each period in an account that pays 9%, compounded monthly. How much will she have at the end of 9 years?

At a particular school dance there were twenty-five students. Could it be that 10 of the students danced in exactly four waltzes, 11 danced in exactly five waltzes, and 4 danced in exactly six waltzes?

Coffee: A popular chain of cafes has been receiving online complaints about one store location. Regular customers complained that the staff at this location consistently underfill their cups of coffee. The owner of the chain will personally visit the location to meet with the staff to determine if more than 10% of the 16 ounce cups are underfilled by 1 fluid ounce. She arranges to have "mystery shoppers" visit the store. Mystery shoppers are people who are paid to pose as a regular customer and provide feedback to the owner about customer service. After 100 mystery shop visits, she finds that 18 of the 16 ounce cups of coffee were underfilled. She plans to test the hypotheses Ho: p = 0.10 versus Ha: p > 0.10. What is the test statistic? A. z = -2.08 B. z = -2.67 C. z = 2.08 D. z = 2.67

Given that a rectangle has a width of 5 feet and a perimeter of 34 feet, what is the length? Step 1 of 3: Choose the correct formula:

According to a Pew Research Center study, in May 2011, 33% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 349 community college students at random and finds that 138 of them have a smart phone. In testing the hypotheses: Ho: p = 0.33 versus Ha: p > 0.33, she calculates the test statistic as z = 2.5990. Then the p-value = (Please round your answer to four decimal places.)

A certain prescription item costs $27.00 for boxes of 30 dosage units. With a dispensing fee of $8.00, what are the prices for the following prescriptions calling for: a. 15 units b. 30 units c. 48 units

The profit (in dollars) from the sale of x lawn mowers is P(x) = 70x -0.07x² - 450. (A) Find the average profit per mower if 50 mowers are produced. (B) Find the marginal average profit at a production level of 50 mowers, and interpret the results. (C) Use the results from parts (A) and (B) to estimate the average profit per mower if 51 mowers are produced. (A) If 50 mowers are produced, the average profit per mower is $ (Round to the nearest cent as needed.)

In a sociology course, the professor informed the students of a recent exam ratio of 3:2:1 for As, Bs, and Cs. If 36 students completed the exam, how many students received Bs? If 36 students completed the exam, then A students received Bs.

Yukio has a checking account. On Monday, he writes 3 checks for $65 each. His balance at the end of the day is $330.25. Use an equation with a variable to find Yukio's balance at the start of the day. Show your work.

Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85. $0.00449 $0.2227 $4.49 $222.72

Consider the statement Vreal numbers and y, if x² = y²2, then x = y. (1) Its [Select] V real numbers x and y, if x² + y², then xy. (2) Its [Select] Vreal numbers x and y, if x = y, then x² = y². (3) Its [Select] [Select] Vreal converse contrapositive inverse V is the statement: V is the statement: V is the statement: then x²y².

A retail company has 50 large stores located in different areas throughout a state. A researcher for the company believes that employee job satisfaction varies greatly from store to store. Which of the following sampling methods is most appropriate to estimate the proportion of all employees of the company who are satisfied with their job? A) Selecting one of the 50 stores at random and then surveying each employee at that store B) Selecting 10 employees from each store at random and then surveying each employee selected C) Surveying the 25 highest-paid employees and the 25 lowest-paid employees D)Creating a website on which employees can express their opinions and then using the first 50 responses

Which of the following is the most likely explanation for a particular human population with a higher incidence of polydactyly (extra fingers/toes) than the human population as a whole? O directional selection O diversifying selection. founder effect bottleneck effect

Think about the headline "Twelve people every year in the U.S. are killed by bee stings." Assuming there are approximately 313.9 million people in the United States, what other ways could this headline be written? There may be more than one answer. D "Bees claim one life every month in the United States alone." "The chances of being killed by bees in the U.S. are 12%." "Someone you know may be stung by a bee." "One in 26 million will die this year in the U.S. by bee sting."

5. ALGEBRA Elaine and Abraham Martz have homes in Florida and Ohio. They realize that they could save $1,154.13 in sales tax on their new luxury automobile if they purchase it in their Florida community, where the sales tax rate is 4.75%, rather than in their Ohio community, where the sales tax rate is 7.5%. The auto's total selling price is the same in Florida and Ohio. What is the total purchase price of their auto if they purchase it in Florida?

(a) Consider a t distribution with 13 degrees of freedom. Compute P(t ≤ 1.60). Round your answer to at least three decimal places. P(t ≤ 1.60) = (b) Consider a t distribution with 22 degrees of freedom. Find the value of c such that P(-c<t<c) = 0.99. Round your answer to at least three decimal places. C=

Find the population of the following example: Khalid wants to find out if his swim team prefers cheese pizza or pepperoni pizza, so Khalid puts their names in a hat and chooses 10 people to ask. Khalid choosing people. The type of pizza. The 10 people Khalid chooses. Khalid's swim team.

Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4 and AC=9. Are points A, B, and C collinear? Give a written explanation, supported by mathematical evidence, for your answer.

William has put $5,000 of savings into a bank that will collect a 1% annual interest rate. Suppose he does not deposit any additional money, how much interest will he earn in 6 months? Recall (1 = Prt and in this case t = 6/12)