141. Which of the following sequences best describes the inductive logic of inquiry? A. theory → data → hypothesis B. data → theory → hypothesis C. data → empirical pattern → theory D. theory → hypothesis data
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- I need help in the following question on SequencesAssume an, bn, cn are sequences. Prove the following deduction:a_n → 7, b_n → 3, |c_n − 18| < 4|a_n + b_n − 10|, ∴ c_n → 18.Allstate claims 92% if it's customes are happy with their service. You randomly call 57 customers and find that 45 of them are happy. is this number significantly lower than the claim?
- An ATM personal identification number (PIN) consists of four digits, each a 0, 1, 2,… 8, or 9, in succession.a. How many different possible PINs are there if there are no restrictions on the choice of digits?b. According to a representative at the author’s local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited: (i) all four digits identical (ii) sequences of consecutive ascending or descending digits, such as 6543 (iii) any sequence starting with 19 (birth years are too easy to guess). Soif one of the PINs in (a) is randomly selected, what is the probability that it will be a legitimate PIN (that is, not be one of the prohibited sequences)? c. Someone has stolen an ATM card and knows that the first and last digits of the PIN are 8 and 1, respectively. He has three tries before the card is retained by the ATM (but does not realize that). So he randomly selects the 2nd and 3rd digits for the first try, then randomly…Consider the Venn diagram below that represents the number of students that have exams falling on Monday, Tuesday, and Wednesday. (a) How many students are taking exams on Monday?(b) How many students have exams on both Tuesday and Wednesday, but not on Monday?(c) How many students did not have an exam on Monday?(d) How many students have all their exams on exactly one day (all on Monday, all on Tuesday, or all on Wednesday)?9. An engineer is scheduled to visit four manufacturing plants in CSU Piat, Cauayan, Ilagan, and Universal Robina Piat. a. How many different sequences or orders of visiting these four plants are possible?b. In how many different orders can the 4 plants be visited if plants located in Piat can be considered identical?
- 3. A pet store owner is trying to decide whether to discontinue selling specialty clothes for pets.She suspects that only 4% of the customers buy specialty clothes for their pets and thinks thatshe might be able to replace the clothes with more profitable items. Before making a finaldecision, she decides to keep track of the total number of customers for a day and whetherthey purchase specialty clothes.a. The owner had 275 customers that day.Assuming this was a typical day for her store,what would be the mean and standard deviation of the number of customers who buyspecialty clothes for their pets each day? b. Could we use a normal distribution to approximate the binomial distribution in thiscase? c. What is the probability of less than 9 customers purchasing specialty clothes for theirpets that day? d. What is the probability of more than 18 customers purchasing specialty clothes fortheir pets that day? e. Assuming that 18 customers bought specialty clothes on the specified day, the…In how many ways can the letters in the word sequences be arranged if the first letter must be Q?a university library believes that on thursday and on friday people borrow 50% more books compared to other 3 days of the week. They want to hire more people to work accordingly to that. So they make a list of borrowed 600 books per day on a chosen week. Monday 80Tue 130WEd 90Thurs 140Friday 160 please test if the claim is true based on 5% confdince level. Thanks.
- 1500 college freshmen were interviewed regarding what subject to will be enrolling for the second semester. It was found out that 850 students will be enrolling in Discrete Math while 700 are willing to enroll in Programming. It was also noted that 500 will be enrolled in Discrete Math and Programming. Make a Venn diagram show the answer to the following questions: a) How will enroll in Discrete Math only? b) How many will enroll in Programming only? c) How many signified that they will enroll in Discrete Math OR Programming? d) How many students will confirm in NEITHER for Discrete Math NOR Programming?An ATM personal identification number (PIN) consistsof four digits, each a 0, 1, 2,… 8, or 9, in succession.a. How many different possible PINs are there if thereare no restrictions on the choice of digits?b. According to a representative at the author’s localbranch of Chase Bank, there are in fact restrictions onthe choice of digits. The following choices are prohibited:(i) all four digits identical (ii) sequences ofconsecutive ascending or descending digits, such as6543 (iii) any sequence start ing with 19 (birth yearsare too easy to guess). So if one of the PINs in (a) israndomly selected, what is the probability that it willbe a legitimate PIN (that is, not be one of the prohibitedsequences)?c. Someone has stolen an ATM card and knows thatthe first and last digits of the PIN are 8 and 1,respectively. He has three tries before the card isretained by the ATM (but does not realize that). Sohe randomly selects the 2nd and 3rd digits for thefirst try, then randomly selects a different…