Ultimate Mathematics Study Guide - Questions & Answers

i need help what is 1+1=
2 Answers
Simplify the expresion 9(8 - 5)^3 + (8 + 2) 5
1 Answer
Find the value of x.
2 Answers
1.Paint yellow only multiples of 8. 1.pinte de amarelo somente os mtiplos de 8
1 Answer
For a large order, Mr. Magoo made 3/8 kg of fudge in his bakery. He then got 1/6 kg from his sisters bakery. If he needs a total of 1 1/2 kg, how much more fudge does he need to make? Put your answer in fraction form. Example: Mr. Magoo needs to make #/# more fudge.(PS: Please show your work)
1 Answer
HELP 75 POINTS Enzo Drew triangle KLN In enzos triangle Angle K is represented as X degrees the measure of angle L is five times angle K the measure of angle in is 18 less than eight times in angle K which statements must be true about the angle measures of enzos triangle check all that apply
1 Answer
If x = -6, which inequality is true?
1 Answer
A factory uses a special kind of lubricant to maintain its four milling machines. The weekly lubricant usage for each machine can be approximated with a normal distribution. This distribution has a mean of 30 gallons and a standard deviation of 11.5 gallons, and it can be considered as an independent random variable (zero covariance, zero correlation) from machine to machine. Suppose at the beginning of the week, the factory has a total of 150 gallons of lubricant in stock. The factory will not receive any replenishment of lubricant from its supplier until the end of the week.Assume that the total lubricant usage (four machines combined) also follows a normal distribution. Required:What is the probability that the factory will run out of lubricant before the next replenishment arrives?
1 Answer
Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector is used to find rock samples that may contain the valuable mineral, but it is not perfect: When applied to a rock sample, there is a 2% chance of a false negative; that is, of a negative reading given raritanium is actually present. Moreover there is a 0.5% chance of a false positive; that is, of a positive reading when in fact no raritanium is there. Assume that 13% of all rock samples contain raritanium. The detector is applied to a sample and returns a positive reading. Required:What is the probability the rock sample actually contains raritanium?
1 Answer
please help!!! I dont know which ones....
1 Answer
A professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below.Student No. Hours Spent Studying Total Points Earned1 25 182 10 133 70 534 40 435 85 686 45 287 70 688 60 589 35 2310 55 43Simple Regression - POINTS vs. HOURSDependent variable: POINTSIndependent variable: HOURSLinear model: Y=a +b*XCoefficientsLeast Squares Standard TParameter Estimate Error Statistics P-ValueIntercept 0.437798 5.9182 0.073948 o.9428Slope 0.829539 0.109474 7.57748 0.0001Analysis of VarianceSource Sum of Squares Df Mean Square F-Ratio P-ValueModel 3249.72 1 3249.72 57.42 0.0001Residual 452.779 8 56.5974 Total (Corr.) 3702.5 9The following questions are based on the information above.1) Write down the estimated regression equation that could be used to estimate the total points earned in the course given the hours spent studying.2) At the 0.05 level of significance, does hours spent studying have a significant effect on the total points earned in this course?3) Find the standard error of the estimate.4) Use the estimated regression to predict the points of a student who spent 50 hours studying for this course.5) If a student spent 120 hours studying for this course, would you feel comfortable to use your estimated regression equation to predict his points? Why?6) What's the R-squared?7) Do you believe your estimated regression equation would provide a good prediction of the points? Use R-squared from Question 8 to support your answer.
1 Answer
For the given hypothesis test, determine the probability of a Type II error or the power, as specified. A hypothesis test is to be performed to determine whether the mean waiting time during peak hours for customers in a grocery store has increased from the previous mean waiting time of 8.3 minutes. Preliminary data analyses indicate that it is reasonable to apply a -test. The hypotheses are H 0: = 8.3 H1: >8.3 The population standard deviation is 3.8 minutes. The sample size is 50. The significance level is 0.05. Find the probability of a Type II error if in fact the mean waiting timeu, is 9.8 minutes. A. 0.125 B. 0.05 C. 0.875 D. 0.95
1 Answer
Solve by substitution.y = 2.3 - 11-2 + y = -4Solution:
1 Answer
To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. Location1(%C) Location2(%C)1 10.40 10.102 10.20 10.903 10.30 10.204 10.40 10.705 10.20 10.40a-1. Far each location, calculate the standard deviation and report it.- location 1: _____- location 2: _____a-2. What is the calculated F value for comparing the standard deviation?b. Are the two standard deviations for the locations significantly different at the 95% confidence level?A. yes.B. No.c. What is the calculated t value used to compare the means of these two locations?d. Are the means for the two different locations significantly different at the 95% confidence level?A. yes.B. No.
1 Answer
A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2). After one month of treatment, 225 people in group 1 reported pain relief and 150 people in group 2 reported pain relief Let Pe represent the combined (or pooled) sample proportion for the two samples. Have the conditions for inference for testing the difference in population proportions been mel? (A) No. The people in the study were not selected at random (6) (B) No. The number of people in the study was too large compared with the size of the population (C) No. The normality of the sampling distribution cannot be assumed because Pe times each sample size is not sufficiently large (D) No. The normality of the sampling distribution cannot be assumed because I - Pe times each sample size is not sufficiently large 6 (E) Yes. All conditions for inference have been met
1 Answer
Learn by DoingHere are the directions, grading rubric, and definition of high-quality feedback for the Learn by Doing discussion board exercises.ContextStudents researching backpack weights gathered data from 45 elementary school children in the 3rd and 5th grades. The variable is "percent of body weight carried in the school backpack." So a child who weighs 60 pounds and carries 9 pounds has a variable value of 15% (9 60 = 0.15 = 15%). The American Chiropractic Association (ACA) recommends that children carry no more than 10% of their body weight.PromptWhen we analyze backpack weight as a percentage of body weight, how do 3rd and 5th graders compare? Are children in this study following the ACA recommendation?% of body weight carried in backpack Thirdgraders Fifthgraders0-5% 1 15-10% 6 610-15% 11 415-20% 3 720-25% 0 125-30% 0 230-35% 0 1Totals 21 22Note: Left-hand end-points are included in each bin. So the 2nd bin contains students carrying 5% of their body weight.GradingTo view the grading rubric for this discussion board, click on menu icon (three vertical dots) and then select show rubric. Please note, if viewing the course via the Canvas mobile app the rubric does not appear on this page.Tips for SuccessTo post your initial post, click the "reply" button at the top of the introduction thread below.You are required to reply to two of your peers in this discussion; don't forget to complete this requirement of the activity or you will lose points. Provide high-quality feedback to your peers.
1 Answer
A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The average thickness and the standard deviation of thickness of shift 1, based on a random sample of 30 gaskets, are 10.53mm and 0.14mm. The similar figures for shift 2, based on a random sample of 25 gaskets, are 10.55mm and 0.17mm. Let 1-2 be the mean difference in thickness between shifts 1 and 2.a) Find a 95% confidence interval for 1-2.b) Based on your answer to part a, are you convinced that the gaskets from shift 2 are, on average, wider than those from shift 1? Why or why not?c) How would your answers to parts a and b change if the sample sizes were instead 300 and 250?
1 Answer
The following data represent highway fuel consumption in miles per gallon (mpg) for a random sample of 55 models of passenger cars (Source: Environmental Protection Agency). 30 27 22 25 24 25 24 15 35 35 33 52 49 10 27 18 20 23 24 25 30 24 24 24 18 20 25 27 24 32 13 13 21 2 37 35 32 33 29 3 28 28 25 29 31 For this problem, use five classes. (a) Find the class width. (b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.) Class Limits Midpoint Freqeny Relative |Cumulative (c) Draw a histogram.
1 Answer
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.How are the percentages distributed? Is the distribution skewed? Are there any gaps?How are the percentages distributed? Is the distribution skewed? Are there any gaps? Percent of Wetland0] 91] None2] 0 4 73] 0 3 5 5 5 7 84] 2 2 5 5 85] 0 0 1 1 5 9 96] 0 87] 18] 7 7 99] 0a. These data are fairly symmetric, perhaps slightly skewed right.b. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.c. The percentages are concentrated from 20% to 60%.
1 Answer
The operations manager of a plant that manufactures tires wishes to compare the actual inner diameter of two grades of tires, each of which has a nominal value of 575 millimeters. A sample of five tires of each grade is selected, and the results representing the inner diameters of the tires, ordered from smallest to largest, are as follows: Grade X: 568, 570, 575, 578, 584 Grade Y: 573, 574, 575, 577, 578a. Compute the mean, median, and standard deviation for each grade of tire. b. What would be the effect on your answers in (a) and (b) if the last value for grade Y was 588 instead of 578? Explain. c. Which grade of tire is providing better quality? Explain.
2 Answers
Annual U.S. imports from a certain country in the years 1996 through 2003 can be approximated by I(t) = t^2 + 3.7t + 50 (1 leq t leq 9) billion dollars, where t represents time in years since 1995. Annual U.S. exports to this country in the same years can be approximated by E(t) = 0.3t^2-1.4t + 16 (0 leq t leq 10) billion dollars. Assuming the trends shown in the above models continue indefinitely, numerically estimate the following. (If you need to use infinite or -infinite, enter INFINITY or -INFINITY, respectively. If an answer does not exist, enter DNE.) lim t tends to +infinite and lim t tends to +infinite E(t)/I(t) lim t tends to +infinite E(t)= lim t tends to +infinite E(t)/I(t)= Interpret your answers. A. In the long term, U.S. exports to the country will fall without bound and be 0.3 times U.S. imports from the country. B. In the long term, U.S. exports to the country will rise without bound and be 0.3 times U.S. imports from the country. C. In the long term, U.S. imports from the country will rise without bound and be 0.3 times U.S. exports to the country. D. In the long term, U.S. imports from the country will fall without bound and be 0.3 times U.S. exports to the country. Comment on the results. A. In the real world, imports and exports can rise without bound. Thus, the given models can be extrapolated far into the future. B. In the real world, imports and exports can fall without bound. Thus, the given models can be extrapolated far into the future. C. In the real world, imports and exports do not change, they always stay fixed. Thus, the given models should not be extrapolated far into the future. D. In the real world, imports and exports cannot rise without bound. Thus, the given models should not be extrapolated far into the future.
1 Answer
The Excel file Store and Regional Sales Database provides sales data for computers and peripherals showing the store identification number, sales region, item number, item description, unit price, units sold, and month when the sales were made during the fourth quarter of last year.2 Modify the spreadsheet to calculate the total sales revenue for each of the eight stores as well as each of the three sales regions.
1 Answer
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
2 Answers
Tversky and Kahneman23 asked a group of subjects to carry out the following task. They are told that: Linda is 31, single, outspoken, and very bright. She majored in philosophy in college. As a student, she was deeply concerned with racial discrimination and other social issues, and participated in anti-nuclear demonstrations. The subjects are then asked to rank the likelihood of various alternatives, such as: (1) Linda is active in the feminist movement. (2) Linda is a bank teller. (3) Linda is a bank teller and active in the feminist movement. Tversky and Kahneman found that between 85 and 90 percent of the subjects rated alternative (1) most likely, but alternative (3) more likely than alternative (2). Is it? They call this phenomenon the conjunction fallacy, and note that it appears to be unaffected by prior training in probability or statistics.Explain why this is a fallacy. Can you give a possible explanation for the subjects choices?
1 Answer