discrete math 8. Prove the following.A. Let X = {a eN|a = 3t + 4, for some t e N} and Y = {a eN|a = 21t + 4, for some t eN}. Prove that Yc X.B. Let X = {a e N |a = 6t-3 and teZ"} and Y = {a eN|a = 6t+3, for some t e N}.Prove that X = Y.%3D%3D%3DC. Let X = {a e N|a = 4t + 2, for some t e N} and Y = {a eN| a = (t – 1), for some t eN and t2 5}. Prove that X 6= Y.

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Answered: 8. Prove the following. A. Let X = {a e…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Please complete all of question 5. **due to a recent eye operation I can't detemine handwritten solutions. please type them out. thanks .
Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Within 5 Minutes 420 55 25 500 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (a) P(N) P(M) P(S) Reaction None Mild Strong Column Total (b) P(N | W) P(S | W) (c) P(NA) P(S | A) (d) P(Na W) P(M…
ONLY need D, C
GMAT = 172.4 + 78.9 GPA + 0.230 SATM + 0.110 SATV Where GMAT = student’s score on the GMAT, GPA = student’s GPA in economics classes (4 = A, 3 = B ...), SATM = student’s score on the math portion of the SAT, and SATV = student’s score on the verbal portion of the SAT If John scores 60 points higher than Bill on the math part of the SAT, ceteris paribus, estimate the difference in his and Bill’s GMAT scores. I am very confused on where to even start with this question, how do I set this up to solve it?
The first test a doctor would order to determine whether a person is infected with HIV (the virus that causes AIDS) is the ELISA test. It detects antibodies and antigens for HIV. A study in Statistical Science by J. Gastwirth estimated that, if the person is actually infected with HIV, this test produces a positive result 97.7% of the time. If a person is not infected with HIV, the test result is negative 92.6% of the time. According the the US Centers for Disease Control (CDC), an estimated 1.1 million Americans out of a population of 321 million were infected with HIV in 2015. Using the information above, determine the probability that a randomly selected person whose ELISA test is positive actually is infected with HIV? a. What is the probability that a randomly selected American is infected with HIV? b. Using the answer to part (a) and the conditional probabilities of positive and negative ELISA test results, fill out the contingency table below: ELISA Test Result…
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Essentials of DISCRETE MATHEMATICS
Reading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books Read (X) ACT Score (Y) (X- Xmean) (Y - Ymean) (X-Xmean)(Y-Ymean) (X-Xmean)? (Y - Ymean)? 2 16 -5.4 -14.9 81 29 221 2 19 -5.4 -11.9 64 29 141 3 17 -4.4 -13.9 61 20 192 4 25 -3.4 -5.9 20 12 34 21 -3.4 -9.9 34 12 97 24 -1.4 -6.9 10 2 47 6 21 -1.4 -9.9 14 2 97 8 24 0.6 -6.9 -4 47 7 27 -0.4 -3.9 2 15 10 22 2.6 -8.9 -23 7 78 Total 52 216 259.1 113.3 969.3 МEAN 7.4 30.9 a. Identify the regression line using the number of books read to predict ACT Reading score. Use a = .05 to evaluate the quality of the prediction of the regression line. b. What is the predicted ACT Reading score when 5 books are read?
Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction Within 5 Minutes After 5 Minutes Row Total NoneMildStrong 4025543 64323113 466378156 Column Total 500 500 1000 Let's use the following notation for the various events: W = washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.) (d) P(N and…
LDL - low density lipoprotien - cholesterol is considered the bad cholesterol. A pharmaceutical company conducts a clinical trial on people with high levels of LDL cholesterol. The trial involves a random sample of n = 13 persons who have high levels of LDL. Each person has their LDL level measured prior to the beginning of the drug trial. Each person is then to take a new drug that is believed to lower ones LDL levels. After a period of 4-weeks, the LDL level of each person is measured again. The difference between the initial LDL level and the LDL-level four weeks after taking the drug is then computed. -0.44, -0.63,-0.73, 0.38, -0.21, 0.05, -0.53, -1.02, -0.3, -0.32, -0.06, -0.4, -0.63 Data from the sample, are saved in the Download .csv file. Assuming the difference in the LDL-levels is Normally distributed, find a 94% confidence interval for μ, the mean difference in the LDL-level of a person after taking the drug for four weeks. Use at least four decimals for your lower and upper…
The researcher asks parents how much time their student spends on social media and if they struggle with depression/anxiety. Then the researcher has the children fill out a questionnare with questions about mental health. This is an example of an _____________________________ study. Experimentalor Observational
Dötrbuto of of students colley ages M- 215 b=3 Sample n= 36 probabi lity of average age what is between 21 & and 22

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