Polya 4 Four different digits from 1 to 9 are required to open a safe. 1. The sum of the digits is 20. 2. The first digit is greater than the third. 3. The second and fourth digits differ by at least 5. 4. Exactly two digits are squares. 5. The first and fourth digits add up to a prime number. 6. The fourth digit is the lowest. Can you find the four-digit combination? Please use Pólya's 4 step process to solve. Label each step (1-4 with the title) and clearly describe what you did on each step.

Q: 2. An athlete takes 13.86 seconds to run 100 metres. fir He takes only 12.97 seconds in his next…

A:

Q: Consider rolling a six-sided die once. Let A be the set of outcomes where an odd number comes up.…

A: Consider two sets A and B. Now, A ∪ B defines the collection of elements, which belong to the set A…

Q: You randomly select one card from 52-card deck. Find  the proabability of selecting a black six and…

A: Total number of cards in a deck = 52 cards. Number of black 6 cards = 2 Number of red jack cards = 2…

Q: Factory uses machines to sort cards into piles. On one occasion a machine operator obtained the…

A: Consider the given information. Let us consider the number of x in the box and the value of x is…

Q: A USE SALT (a) separates the largest 3.2% of all z values from the others z* = (b) separates the…

A: We have to find z values...

Q: nate Possibilities There are between 70 and 145 cars in a parking lot. Exactly 25 % of them are…

A: It is given that, There are between 70 and 145 cars in a parking lot. let the total number of car =…

Q: C. Determine the number of combination of objects without repetition Write your answer on the blank…

A: 1) We can select 5 basketball players from 10 basketball players in 10C5 ways. We can select 2…

Q: Evaluate „Pr. 18P2. Step 1 Recall that the number of permutations of n elements taken r at a time is…

A: Permutation problem...

Q: 7.16 Using an app or the Web on a smartphone. The Nielsen Company reports that U.S. residents aged…

A: We want to test the hypothesis

Q: 1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is…

A:

Q: What is the smallest number of trials n you would need if you covered trials in Japan?

A: Let , X=Number of trials with convictions n=Total number of trails Here  , X→B(n , p) The…

Q: Circular Permutation. Write LP for Linear Permutation, DP for Distinguishable permutation, and CP…

A: Given, 1) Find the number of ways in which four person can sit on six chairs.

Q: An experiment consists of selecting a student body president and vice president. All undergraduate…

A: The number of possible ways for president is 4. They are, freshman, sophomore, junior and senior.

Q: uestion 9 w many five letter words beginning and ending with a vowel without any letter repeated can…

A:

Q: OPIC: Permutation / Combination. Pls these 2 number are connected so, I can't cut it off.  Suppose…

A: Given that  Code size =  5 digit code  The code contains digits = 9 ,4 ,3 ,1, and 0.            Here…

Q: 14. To recruit members of an organization, a member recruits two persons; these two persons recruit…

A:

Q: 1. A party banner contains 21 colourful equilateral triangles. In the middle of the banner is the…

A: Given that, there are 21 colourful equilateral triangles. Also the biggest triangle with base 300 mm…

Q: In Victoria's Mythology class Quizzes are worth 15% of the final grade, Exams are worth 55%,…

A: Quizzes Score 15% of 120150=12.20% Exam Score 55% of82+89+96100+100+100 55% of 267300=48.95% Extra…

Q: 1. Once upon a time in a faraway kingdom three sisters were born. Ann was the oldest; Cam was the…

A: The given query is to find the order of sister sitting.

Q: A colony of bacteria is grown under ideal conditions in a laboratory. At the end of 4 hours, there…

A: Given: The growth of bacteria under ideal conditions in a laboratory. When t=4, then the population…

Q: 3. Ms. Flanagan has three daughters: Astrid, Beatrice, and Cassandra. Today, January 1, their ages…

A:

Q: 8. At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type…

A:

Q: Q?: An engineer tested a concrete cubes for evaluation. He found 0.08 was failed and 0.92 were…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Three consecutive integers have a sum of 48 what is the middle number in that group

A: Given,         Three consecutive integers have a sum of 48.

Q: Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found…

A: (d). Find the smallest number of trials in U.S. that would need to cover to be at least 99% sure of…

Q: A child places n cubic building blocks in a row to form the base of a triangular design (see…

A: A child places n cubic building blocks in a row to form the base of a triangular design. To find the…

Q: 30% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have…

A: Answer:-  Let X be the number of flowers that one has to observe in order to see the first one that…

Q: You are working in the cyber security department at a certain company. For security purposes, a…

A:

Q: Counting numbers are to be formed using only the digits 6, 7, and 8. Determine the number of…

A: The total number of ways for an action consisting of two or more actions is just the product of…

Q: You spin the spinner. 2. a. In how many ways can spinning a number less than 3 occur? Spinning a…

A:

Q: 1. An integer is between 110 and 120. the quotient when this number is divided by the sum of its…

A: sonution: As per guidelines, if multiple questions are posted we are allowed to solve only 1st....so…

Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

A:

Q: 1) A Starbuck's store sells coffee in three sizes: a 12-oz tall, a 16-oz grande, and a 20-oz venti.…

A:

Q: 2. Early showerheads consumed either 5 or 7 gallons of water per minute (gpm). Federal plumbing…

A:

Q: Using Polya's Four Steps solve the problem. There are 25 students asked by their literature…

A: Given: Total number of students =25 Number of students reading only novels( N)=n(N)=10 Number of…

Q: involving the research project. Assume that 12 students, including james are working on the project…

A: 1) The first section can be assigned in 12 ways  The second section in 11 ways, third in 10 ways,…

Q: Suppose that you have a map on  which 1 inch represents 100 miles You trace a state on the map onto…

A: It is given that 1 inch represents 100 miles. that is, 1  inch = 100 miles Then, 14 inch will…

Q: 1.2 Decimals and Negative Numbers A standard package of paper contains 500 sheets. How many packages…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER…

Q: 1. Draw a spinner with 3 or more sections that are not all the same size. 2. Your spinner is spun…

A:

Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: The fourth door is very tricky. It has a 4-number lock to escape consisting of the numbers from 1 to…

A: (a) ­ Gottfried Leibniz published ­­his first works on calculus in 1684 (source: Wikipedia).

Q: As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at…

A:

Q: Q.2\ I need to choose a password for a computer account. The rule is that the password must consist…

A: Q.2 There are 26 letters and 10 digits. The password must consist of two lowercase letters (a to z)…

Q: ) Johns Hopkins reports two numbers daily for all the US states: P(t): the total number of cases…

A: GIVEN: Johns Hopkins reports two numbers daily for all the US states: P(t): the total number of…

Q: 26. I Two biology undergradua have been tagging geese for their senior project. Last week they…

A:

Q: 4. You can determine x by splitting the shaded part of a bar into 3 equal parts. One of these…

A:

Q: how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come…

A:

Q: 3. A certain 2-digit number is 1 less than five times the sum of is digit. If 9 were added to the…

A:

Q: We wish to construct the world's largest open-top cardboard box. We have exactly 800 square feet of…

A: (A) To determine the errors in the students response. (1) The surface area of the open-top cardboard…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.