Suppose that 26 of the 65 state governors in a country were women. On each day of​ 2013, one of these state governors was randomly selected to read the invocation on a popular radio program. On approximately how many of those days should it be expected that a woman was​ chosen?   A woman was chosen on approximately _________ of the days in 2013. ​(Type a whole​ number.)

Q: How many different initials can someone have if a person has at least two, but no more than five,…

A:

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

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Q: Verify the following facts about Fibonacci number: If we make a list of any four consecutive…

A: Here the two different four number list of Fibonacci  number with the property.

Q: An integer n > 2 is composite if and only if n doe

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A:

Q: Let A be the set of five-digit numbers where only the digits 1, 2 and 3 are included. For example…

A: Given that A is the set of five-digit numbers where only the digits 1, 2 and 3 are included.  So,…

Q: How many different six-digit codes can be formed using digits 0 through 9? What counting technique…

A: Given set of digits A= {0,1,2,3,4,5,6,7,8,9} Total number of digits = 10 we have to find six- digit…

Q: Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you…

A: Farmula used  nPr =n!/(n-r)!  n!=nx(n-1)x(n-2)x........3x2x1

Q: (123456 Let o = find o25 314562 ect one: 123456 612 435) (123456 124365 (123456 314562 (123456…

A:

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: A code have 4 digits in a specific order. The digits are between 0-9. How many different…

A: Code = 4 digits No. of available digit = 10 Repetition = not allowed Order is important, so we will…

Q: Prove that if n is a multiple of 4, then Fn (Fibonacci n) is a multiple of 3.

A: Fibonacci function is defined by F1=1,F2=1, Fn=Fn-1+Fn-2, n>2 We will prove that F4m is a…

Q: 1) How many different strings of 5 lower case letters are there? Assume that letters may repeat. 2)…

A: Here, to calculate number of different strings of 5 lower case letters can be created if that…

Q: How many integers from 1 to 1000: a) Are divisible by 7? b) Are divisible by 7 but not 11? e) Are…

A: a) From 1 to 1000 there are 1000 numbers. Now, 1000/7 = 142.86 So, there are 142 multiples between 1…

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

A:

Q: Suppose that a +b+c= d.where a, b, c, d are nonnegative integers. Let P be the assertion that d is…

A: We will use basic logic theory to solve this question using parity argument.

Q: a) Prove or disprove = . 3

A:

Q: A sonnet is a 14-line poem in which certain rhymingpatterns are followed. The writer Raymond…

A: a). How many sonnets can be created from the 10 in the book? There are 10 possibilities for each 14…

Q: 6. Consider licence plates that have 3 letters followed by 3 numbers. How many licence plates…

A:

Q: Find the first 3 mon-Zerw terms orf the Mnelaurin. derres

A:

Q: b) If x is an even prime number, then x is divisible by 2. Converse: Inverse: Contrapositive:

A: Given the statement, "If x is an even prime number, then x is divisible by 2". It is of the form,…

Q: One company has 700 employees. Prove there are at least two employees that have the same initials.…

A:

Q: If n is prime, then 2" – 1 is prime.

A:

Q: A. If p 2q25 is a prime number, prove that p-q is divisible by 3.

A:

Q: Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be…

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Q: Your password in your company's ERP (Enterprise Resource Planning) System requires exactly eight…

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

Q: Show that there is a prime number p such that p+4 and p+6 are also prime numbers.

A: Prime number is a number p having only two divisors p and 1 only.

Q: In a group of 23 people each person chooses a number between 1 and 20. Use the pigeon hole principle…

A: See the attachment

Q: How many frienda should Ziad have on Facebook so that on a day of the year (366 days) he receives 6…

A: This question is about application of discrete maths

Q: 14. Show that ifr>0, then, for each natural number n, (1+r)" >1+n•r.

A:

Q: To sign-in an account, suppose 0' to 9' numbers and 'A' to 'Z' alphabets with upper case and lower…

A: Total no. of numbers=10 Total no. of alphabets=52 (26 Upper case and 26 lower cases) No. of…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A:

Q: Suppose that in a certain state, all automobile license plates have four letters of the 26 English…

A: GivenAutomobile license plates have four letters and followed bt three digitsNo.of letters from A-Z…

Q: Let c = 2^100 and p be the smallest prime such that p >= c. How many composite numbers are between c…

A: Let c=2100 And p=min p is prime:p≥c,p∈ℤ Claim: Total number of composite number between c & p,…

Q: One 12-digit binary code (leading zeros allowed) is randomly generated by a computer. What is the…

A: a

Q: How many permutations of the letters ABCDEFGH contain the strings BA and FGH ?

A: We have to determine the number of permutations of the letters ABCDEFGH which contain the strings BA…

Q: If a, bị c, d are distinct prime numbers with an as smallest prime the a * b * c *d is Prime number…

A: Given: a, b, c, d are distinct prime numbers and  a is the smallest prime number We know that, the…

Q: Suppose that a certain football tournament consists of 16 teams: 6 from Europe, 3 from South…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: ocedure can be broken down into n tasks, where each I task can be performed ti Prove via induction…

A: Given: To prove that the procedure Pn can be performed t1, t2, t3 … tn ways.

Q: 1. How many 3-digit numbers can be forms from the four digits 0,1,2,3 if: a) no two digits are to be…

A: according to our guidelines we can answer only three subparts, or any question and rest can be…

Q: Show that the principle of mathematical induction implies that I is the leact p natural number.

A: Solution of the problem as follows

Q: Tariott Hotel rents rooms for $125 a night that cost approxi-mately $50 per day to maintain.…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: Two integers are congruent modulo to a)prime integer b)odd integer C) not a prime nor composite…

A:

Q: Let p and q be prime numbers. (1) If p is not equal to q, how many generators does Zpq have? (2) If…

A: Given p and q be primes.

Q: (a) How many permutations of (10] are there that EITHER alternate even and odd numbers or have even…

A: Let consider the permutations of 10 as the ordering of  the elements of 10 rather than as an…

Q: On a tv quiz show, a contestant is asked to pick an integer at random from the first 100 consecutive…

A: Solution

Q: 4. A password to a vault must have at least 8 characters where each character can be an English…

A: It is given that password can be  English letter or a digit. So available characters are:…

Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A: GIVEN THAT JOB FINISHED = 5 DAYS

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.