Ultimate Mathematics Study Guide - Questions & Answers

Find all solutions of each equation on the interval [0, 2pi)(cos^3x)/(sinx )=cot x
1 Answer
ata yayincilik 4. deneme 8.sinif (2021) cevap anhtari vasa atabilirmisiniz
1 Answer
Substitution Property of Equality:If AB = 20, then AB + CD
1 Answer
consider the difference 11; 5; -1; -7;....
1 Answer
You are shipping some books to a friend. A small box will hold 6 books. Alarge box will hold 18 books. You shipped a total of 54 books in 5 boxes.How many small boxes and how many large boxes did you use? Define thevariables that you use to write the system.
1 Answer
There are 10 bananas. Seven of the bananas are ripe. What fraction of the bananas are not ripe?1/23/107/10Answer and I will give you brainiliest
1 Answer
Find the perimeter of the triangle with vertices D(5, 6), E (10, 9), and F(7, 11). Do notround before calculating the perimeter. After calculating the perimeter, round youranswer to the nearest tenth.The perimeter is units.
1 Answer
Find the exact length of the midsegment of the trapezoid with the vertices A(2,0), B(8,-4), C(12, 2), D(0, 10)The length of the midsegment is
2 Answers
What is the sum of the digits in the expansion of (10^36+26/18)
2 Answers
what's the geometric mean of 23 and 33
1 Answer
According to the Corporate Travel Index compiled by Business Travel News, the average daily cost for business travel in the United States rose to per day (Executive Travel website). The file Travel contains sample data for an analogous study on the estimated daily living costs for an executive traveling to various international cities. The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental costs. City Daily Living Cost ($) City Daily Living Cost ($)Bangkok 242.87 Mexico City 212Bogota 260.93 Milan 284.08Cairo 194.19 Mumbai 139.16Dublin 260.76 Paris 436.72Frankfurt 355.36 Rio de Janeiro 240.87Hong Kong 346.32 Seoul 310.41Johannesburg 165.37 Tel Aviv 223.73Lima 250.08 Toronto 181.25London 326.76 Warsaw 238.2Madrid 283.56 Washington, D.C. 250.61Required:a. Compute the sample mean.b. Compute the sample standard deviation.c. Compute a 95% confidence interval for the population standard deviation.
1 Answer
A detergent company is trying to find a new stain remover ingredient to put in its detergent. Company managers know that baking soda or bleach will be used. They also know that water temperature, cold and warm, affects the stain removal process. An experiment will compare all combinations of these choices. Four types of stains on the same fabric will be subjected to each treatment and scored for stain removal quality. Required:What is the experimental unit?
1 Answer
A research team is testing a product that will minimize wrinkles among women. Volunteers in the age group of 40 to 45 are included in the research. The research team gives a bottle of the solution to one group and a similar bottle of solution with no ingredients intended to lessen wrinkles to the other group. In the description of the above situation, determine the control group.a. The group that received the bottle of solution is the experimental group.b. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the experimental group.c. Both the groups are experimental groups.d. Neither group is an experimental group.
1 Answer
The following data were taken from a study relating the Days High Temperature to the Average Amount of Cola Consumed (per capita) in a small mid-western town.Observation Days High Temperature Average Ounces of Cola Consumed 1 64 73 2 51 61 3 62 55 4 78 75 5 50 53 6 80 81 7 50 538 52 54 9 61 77 10 69 82 Given the 10 Observations above, Use a Regression to find each of the following:a. Slope of Regression Equation =b. Y Intercept for the Regression Equation =c. Correlation Coefficient =d. Coefficient of Determination =
1 Answer
One important statistic in baseball is a pitchers earned run average, or ERA. This number represents the average number of earned runs given up by the pitcher per nine innings. The following table lists the portion of the ERAs for pitchers playing for the New York Yankees and the Baltimore Orioles as of July 22, 2010; the complete data, labeled ERA , are available on the text website.New York ERA Baltimore ERA Sabathia 3.13 Guthrie 4.58 Pettitte 2.88 Millwood 5.77 Burnett 4.99 Matusz 5.21 Hughes 3.99 Bergeson 6.51 Vazquez 4.68 Hernandez 4.29 Chamberlain 5.80 Berken 2.50 Gaudin 6.81 Hendrickson 5.23 Rivera 0.98 Albers 4.31 Robertson 4.86 Arrieta 4.87 Park 5.93 Simon 3.14 Mitre 2.88 Ohman 2.57 Logan 3.92 Tillman 7.92 Marte 4.08 Mata 7.79 Aceves 3.00 Meredith 5.40 Moseley 7.50 Uehara 2.92 Melancon 9.00 Castillo 10.13 Albaladejo 5.40 Johnson 6.52 Mickolio 7.36 Gonzalez 18.00 Required:a. Calculate the mean and the median ERAs for the New York Yankees. b. Calculate the mean and the median ERAs for the Baltimore Orioles.c. Based solely on your calculations above, which team is likely to have the better winning record?1. New York Yankees2. Baltimore Orioles
1 Answer
Bone strength, gives the bone strengths of the dominant and the nondominant arms for 15 men who were controls in a study. ID Group NonDom Dom 1 Control 15.7 16.32 Control 25.2 26.93 Control 17.9 18.74 Control 19.1 22.05 Control 12.0 14.86 Control 20.0 19.87 Control 12.3 13.18 Control 14.4 17.59 Control 15.9 20.110 Control 13.7 18.711 Control 17.7 18.712 Control 15.5 15.213 Control 14.4 16.214 Control 14.1 15.015 Control 12.3 12.9a. Plot the data. Use the bone strength in the nondominant arm as the explanatory variable and bone strength in the dominant arm as the response variable.b. The least-squares regression line for these data is dominant = 2.74 + (0.936 nondominant) Add this line to your plot. c. Use the scatterplot (a graphical summary), with the least-squares line (a graphical display of a numerical summary) to write a short paragraph describing this relationship.
1 Answer
As shift manager at a local fast food place, you are responsible for ensuring quality control. You do not want to weigh all the frozen hamburger patties that get delivered by your supplier to make sure they weigh four ounces on average, so you choose 100 patties at random. You calculate that the sample mean weight of patties is 2.6 ounces and the standard deviation of the weight of hamburger patties to be 0.4 ounces.Required:a. Test the hypothesis that the population mean weight of patties is equal to 4 ounces.b. You are particularly concerned about the population weight being under 4 ounces, is there any reason for concern? Explain using the concept of a confidence interval.
1 Answer
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships.a. Show the frequency and percent frequency of complaints by industry.Industry Frequency % FrequencyBank Cable Car Cell Collection Totalb. Which industry had the highest number of complaints?c. Comment on the percentage frequency distribution for complaints.
1 Answer
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
1 Answer
"Predator - Prey"Consider the following systems of rate of change equations:System A(dx/dt)= 3x(1-(x/10))- 20xy(dy/dt)= -5y+(xy/20)System B(dx/dt)= 0.3x-(xy/100)(dy/dt)= 15y(1-(y/17))+25xyIn both of these systems, x and y refer to the number of two different species at time t. In particular, in one of these systems the prey are large animals and the predators are small animals, such as piranhas and humans. Thus it takes many predators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large predators and very small prey.* Figure out which system is which and explain the reasoning behind your decision. Try to develop more than one way to reach a conclusion.
1 Answer
The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?
1 Answer
Suppose that an Internal Revenue Service (IRS) representative claims that the average tax deduction for medical care is $1,250, and assume that this variable is normally distributed. A taxpayer who believes that the deduction might be less than $1,250 decides to randomly sample 12 families who have an average deduction of $934 with a standard deviation of $616. a. What are the null and alternative hypotheses? b. What is the value of the test statistic, i.e. t-stat, in this example? Show your work. c. What is the p-value associated with this test statistic? (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.) d. What can you conclude at the 10-percent level of significance? What can you conclude at the 5-percent level of significance? Explain. (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.)
1 Answer
Suppose X is a normally distributed random variable with mean 0 and variance 1 (i.e., standard normal). Compute the following (Hint: you can use the R functions pnorm and qnorm to answer these questions). P r(X < 1:96) P r(X > 1:64) P r(0:5 < X < 0:5) 1% quantile, q:01 and 99% quantile, q:99 ? 5% quantile, q:05 and 95% quantile,
1 Answer
Gravel is graded by how fine the stones are. For a particular grade of gravel, there are 26 stones with a diameter of 0.75 inches or greater per one cubic yard of gravel, on average. (a) We would like to determine the probability of finding at most two stones with a diameter of 0.75 inches or greater in one cubic foot of the same gravel. Which of the following is the correct probability statement? P(x < 2) PX S2) P(x > 2) P(X22) (b) We would like to determine the probability of finding at most two stones with a diameter of 0.75 inches or greater in one cubic foot of the same gravel. (1 cubic yard = 27 cubic feet. Round your answer to three decimal places.) 0.960 HE -0.963 27
1 Answer