5.3 Calculate a-cut interval of triangular fuzzy number A- (-4, 2, 5)

Q: Suppose that there are nine students in a discrete mathematics class at a small college a) show that…

A: Given: 9 students in a discrete mathematics

Q: 22] calculate the number of combination and permutation of, 5 distinct objects taken 2 at time?

A:

Q: Why the class interval is start with 20-31? Can u show me how to compute that? ( This is a follow up…

A: Frequency distribution shows the number of observation can occur within the interval range.…

Q: How many ways are there to distribute eight balls into six distinct boxes with at least one ball in…

A: The balls are identical. In this case there are 8 balls and 6 boxes to be placed, so each box can be…

Q: A box contains five cards with even numbers and seven cards with odd numbers. If two cards are drawn…

A: Given : n (even) = 5 n (odd ) = 7 n (total) = 5 + 7               = 12 number of cards drawn with…

Q: A company that packages peanuts states that a maximum of 6% of the peanut shells contains no nuts.…

A:

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: According to the permutation rule, if r distinct items are to be chosen from n items without…

Q: A six sided die numbered 1, 2, 3, 6 is rolled once. If C denotes a set of even Q.1. numbers and C2…

A:

Q: Ex: An experimenter partitions a field into 64 same lots. Experimenter uses 5 different seeds, 3…

A: Given, No of Lots = 64 no of seeds = 5 no of pesticides = 3  no of fertilizers = 4

Q: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

A:

Q: This question concerns bit strings of length five. The weight of a bit string is the number of l's…

A: Given: The weight of a bit string is the number of 1's the bit string contains. To find: The least…

Q: This question is about arrangements of buttons, which can be red, green or blue, in a line. Let u,…

A: Let un be number distinct lines of n buttons, which contains no two consecutive blue buttons. (i).…

Q: Use the principle of inclusion-exclusion to determine the number of arrangements of length n, n > 3,…

A: Explanation use the principle of inclusion -exclusion to determine the number of arrangement of…

Q: A. Compute the total number of sets (of size 5) containing exactly 2 elements from X and 3 elements…

A:

Q: A transposition error involving distinct adjacent digits is one of theform . . . ab . . . → . . . ba…

A: The weights with  which we multiply digits a and b are their positions in decimal numbers.…

Q: 5. Is it possible to plant 10 trees in 10 straight rows, with 3 trees in each row? Hint: Desargues…

A:

Q: How many 8-bits strings have exactly three 1's?

A: Given that  8 bits strings have exactly three 1 s is

Q: 4. Find the minimum number of students in a class to be sure that three of them are born in the same…

A: We have to apply the pigeon hole principle to solve this problem.

Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

A:

Q: Suppose that five microchips in a production run of thirty are defective. A sample of seven is to be…

A: suppose that 5 microchips in a production run of 30 are defective. A sample of 7 is to be selected…

Q: 2. A round-robin tournament, each team plays every other team exactly once. Use mathematical in- n2…

A:

Q: Determine the number of ways in which the four corners of a squarecan be colored with two colors.…

A:

Q: Table below show the heights of the 5 starter players of 5 basketball teams in a competition. Every…

A: Introduction: Different teams may use different measures to determine whether they are the tallest…

Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

A: A phone number consists of 7 -digit that does not start with 0. To find the possible phone numbers…

Q: What is the minimal number of people needed in a class to ensure that there are two students with…

A: Given information: To ensure that there are two students with the same birthday (the same month and…

Q: What is the shortest side of ALMN? Ο ΜΝ Ο NL O LN

A: It is given that △ABC≅△LMN So ∠A=k∠L, ∠B=k∠M, ∠C=k∠N And also AB=sLM, BC=s MN, CA=s NL It is given…

Q: 3. How many ways are there to distribute n identical balls in k distinguishable (labelled) boxes…

A: It is given that there are n identical balls in k distinguishable boxes.

Q: Suppose that an urn initially contains r red and b blue balls. At each stage a ball is randomly…

A: Given, number of red balls initially in urn = r number of blue balls initially in urn = b At the…

Q: last restauranl. How many indi uais are 60-119 ncluded in the summary? Is it possible to identify…

A:

Q: 5. How many bit strings of length 10 over the alphabet {a, b, c} have either exactly three as or…

A:

Q: How many bitstrings are there of length 2n that contain exactly n “O"s and n “1"s? Prove your result

A: Given that,   The length of bitstring =2n, i.e If we have a bitstring, it should only contain 0's…

Q: (8) Prove that if A and B are similar, then their transposes are also similar.

A:

Q: 5. It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3 In how many ways can you chocose 6 cocolakes from 10 diferent types f there are more than 6 of…

A: Since there are more than 6 of every type, except type 5, so consider the number of chocolates as…

Q: Compute Weight C gms) No. of mangoe

A: Given data is Weight(in gms) 410-419 420-429 430-439 440-449 450-459 460-469 470-479 No. of…

Q: Prove that a random q-ary code with rate R > 0 with high probability has relative distance 8 2 H,'…

A: Given:: Prove that a random q-ary code with rate R>0 with high probability has relative distance…

Q: Two coins are tossed simultaneously, find the prob (i) at least one head (ii) at most one head (iii)…

A: For this case, the number of possible of outcomes will be: (HH), (HT), (TT), (TH) Here, H represents…

Q: Twenty-five friends play golf in 5 groups of 5. Show that 6 is the minimum number of rounds they…

A: Given: Twenty-five friends play golf in 5 groups of 5.

Q: Suppose there are 10 students participating in a workshop that meets every day of a five-day work…

A: Given that there are 10 students participating in a workshop that meets every day of a five-day work…

Q: Bayes' rule can be used to identify and filter spam emails and text messages.In this collection, 747…

A: Given DataP(Spam) = 0.1340P(Not spam) = 1- P(spam) = 1 - 0.1340 = 0.866P(Free) = 0.0475P(Free and…

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

A:

Q: 7. A company that packages peanuts states that a maximum of 6% of the peanut shells contains no…

A: From the provided information, Sample size (n) = 300 From which 21 were empty. Level of significance…

Q: Show that the number of planted plane trees on n vertices, m of which are leaves (that is, have zero…

A: Solution

Q: How many polygons can be possibly made from 6 distinct points on a plane, no three of which are…

A: Answer: 42 polygons can be possibly made from 6 distinct points on a plane, no three of which are…

Q: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

A: Suppose that four microchips in a production run of fifty are defective. A sample of six is to be…

Q: How many strings are there of length 6 over the alphabet {a, b, c, A, B} in which exactly two of the…

A: we have the alphabet a,b,c,A,B Now, we are interested in string of length 6. Since two of the…

Q: 15)- Estimate f' (4),and f"(4) using central difference formulas of order o(h2) for the data (0,1),…

A:

Q: Suppose that S is a finite set of positive integers. If the greatest integer in S is removed from S,…

A: Let the least integer in the set be y. Then the greatest integer in the set is y+72.  Let there are…

Q: 8. Find the minimum number of students needed to guarantee that 4 of them: (a) have last names which…

A:

Q: An un contains cards numbered 1.2...100. Let X be the least number on the 50 cards drawn randomly…

A: Given problem is :

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.