5.3 (10   Local phone numbers consist of seven numerals, the first three of which are common to many users.Until 1996 all toll-free numbers started with the area code 800. Assume that all digits for the rest of a number were possible, and determine how many toll-free 800 numbers there were.

Q: If SSR=21 and SST=84, compute the coefficient of determination, r, and interpret its meaning. (Type…

A: Given, SSR=21 SST=84 Coefficient of determination r2 =?

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: 12. How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are…

A:

Q: 1. Draw up a blank table in which could be entered the number of work people employed in four…

A:

Q: 11. Given the following digits: 4, 3, 5, 8, 9, & 1. How many four-digit even numbers can be made…

A: Since you have posted multiple different questions, we have provided answer for first question only…

Q: 1. Use a direct proof to show that "If n is an odd number, then n' is an odd number."

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Compute the following numbers: a. Given 26 letters, how many three-letter “words” (CAT, TCG, BBA,…

A: There are total 26 letters (A, B, ... Z). A letter from 26 letter can be calculated as:

Q: How many 13-bit strings contain exactly six 1's?   (b) How many 13-bit strings contain at least…

A: a) If exactly 6 are 1's then (13-6)=7 will be 0's. When positions of 1's are fixed, then the…

Q: 8. The number of permutations of 11 objects taken 4 at a time is ---

A: Solution :  we have to find number of permutations of 11 objects taken 4 at a time.

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the both own a dog?…

A: Given, Probabily of a person own a dog is 43 %

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Suppose the Department of Motor Vehicles uses six digits and the numbers 0 through 9 to create its…

A: Solution.

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Allowing (or requiring) users to use numerical digits (including 0) and one of 28 “special…

A:

Q: a) How many different license plates are possible if each contains 2 letters​ (out of the​…

A: We solve this question by using permutations If characters are not repeated then the total number of…

Q: 2) Allowing (or requiring) users to use numerical digits (including 0) and one of 31 "special…

A: Introduction: Considering the lower- and upper-case alphabets to be two different characters, total…

Q: How many 12-bit strings contain exactly five 1's?   (b) How many 12-bit strings contain at least…

A: a) We can pick 5 positions for 1's from 12 positions in 12C5= 792 ways  Answer(a): 792

Q: 16. Describe all circumstances under which 01(n) is

A: The objective is to describe the circumstances under which σ(n) is odd. σ(n) is odd iff n is either…

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

A:

Q: 6. How many different 3-digit identification tags can be made if the digits can be used more than…

A: Note- Since both are different questions, so according to our policy we can answer only one…

Q: 31 of 48% is what?

A: 31 of 48%

Q: 19 Which of the following numbers are not rounded correctly to 3 significant numbers ?    a)…

A: There are different numbers, that can be rounded to 3 significant Numbers as -  (A) 128522 ⇒  128522…

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

Q: 10. A bank password consists of four letters of the Roman characters (small and capital letters)…

A: SOLUTION:

Q: If 8 decimal digits only are allowed, then the chopped representation of the number 0.123456789 is…

A: Here the number is given as 0.123456789 We need till 8 decimal places If the 9th decimal place is…

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: 1. Suppose in a university, each subject offered to students has a subject code consisting of three…

A: Given that Suppose in a university, each subject offered to students has a subject code consisting…

Q: How many odd integers from 1,000 through 9,999 have distinct digits?

A: From 1000 to 9999 , all are 4 digited integers.  If the integer is odd then the last digit can occur…

Q: How many permutations of a 7-digit phone number exist, assuming that numbers may be repeated and any…

A:

Q: 27. Determine the number of n-digit numbers with all digits odd, such that 1 and 3 each occur a…

A:

Q: Solve the following using counting techniques. (a) The landline telephone numbers in the phone…

A:

Q: Complete the hable by feas. at Hhe guenuldes JivenVodues Computing 4.9 499 4.999 5.001 6.01 6-1 Use…

A: Given : f(x)=x2+x-30x-5 We have to compute the table by computing f(x) at the following values of x…

Q: If SSR = 54 and SST = 72, compute the coefficient of determination, r, and interpret its meaning. *=…

A: Given that, SSR=54,SST=72 The formula for calculating the coefficient of determination is,…

Q: 10. Consider the bit strings in B (bit strings of length 6 and weight 2). (a) How many of those bit…

A:

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

Q: 2. Use Fermat's Little Theorem, or its corollary, to find the units digit of 72018 + 112019 + 132020…

A:

Q: Here are three boxplots on an unlabeled number line. A в Which boxplot has the following five-number…

A: It is a graph that shows five-number summary. The general boxplot is shown below:

Q: How many integers between 100 and 999 have distinct digits, and how many of those are even numbers?

A:

Q: How many people are needed to guarantee that at least two were born on the same day of the week and…

A: There are 7 days in a week and 12 months in a year.

Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: 4. If each Automated Teller Machine card of a certain bank has to have four different digits in its…

A:

Q: 31. b. ii. Detemine the four-digits numbers, with distinct digits, which is livisible by 5, that can…

A:

Q: 11. How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is…

A: there are 8  digits from 2-9.  Therefore, A can be chosen in 8 ways. For B there are 10 choices…

Q: Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made…

A: Given digits:-  2, 3, 5, 6, 7, 9 we have to calculate the followings:- a) How many 3 digit number…

Q: 1.a)How many license plates consisting of 6 digits (0 to 9) have their digits in strictly increasing…

A: a) Total no of digits = 10(0 – 9) 6 digits can be selected in Now arrange all the no in increasing…

Q: A license plate is to consist of 3 digits followed by 5 uppercase letters. Determine the number of…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.