Let a, b, c, d be non – zero distinct digits. The number of 4 digit numbers 'abcd' such that ab + cd is even is divisible by (A) 3 (C) 7 45. (B) 4 (D) 11

Q: Find the number of positive integer divisors of a) 36 b) 99 c) 144 d) 2-3-5-7-11-13-17-19 e)…

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Q: Q-3: a) For all integers a, b, c, d, determine whether each of the following is TRUE or FALSE,…

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Q: 8) The number 4050 can be factored into prime divisors as: 2 x 3 x 3 x 3 x 3 x 5 x 5 a) Determine…

A: We have to solve

Q: 1) Write each number in simplest form, without a negative radicand. a) √√-6√√ 12 b) i 36 c)-5-√√-40

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Q: H) ZEROS AND UNIQUENESS (SESSION 9) 1. Specify the order of the zero z = 0 of the following fun…

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Q: 1. a) write in prime factored form b) find the number of factors 9 30. 10. 45 = u) 2.5. 12 = b) # of…

A: 1. write in prime factored forma) 30…

Q: The number of zero divisors in the ring Z100 is: 23 47 59

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Q: Find the greatest common divisor (a, b) and integers m and n such that (a, b) = am + bn. a = 65, b…

A: a) The objective of the question is to find the gcd of two numbers and also to represent the gcd as…

Q: 12. How many positive integers less than 1000 are divisible by either 13 or 17? a) 134 b) 130 c) 76…

A: First check the divisibility for 13 then 17 then common in both.

Q: that 10348+4303 is divisible by 47. the remainder of 123 is divided

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Q: Evaluate 16-2 A) -24 B) 64 O c) 1 64 OD) 1 64

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Q: 10) In = e3x a) 3x - In 8 b) 3x + In 8 c) 3x - In 3 d) -3x - In 8

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Q: 4. Factor. Ka) x - 343 b) 216x – 1 c) x + 1000 +3 -

A: as per our norms we are allowed to solve one question (3 sub - part ) at a time. : Kindly repost the…

Q: If 6-digit positive integer is added to a 6-digit positive integer , the sum could have A) 5 digits…

A: A detailed solution is given below.

Q: 3) Find 25 x 0.25 A) 0.625 B) 6.25 9 62.5 D) 625 4) Simplify by combining like terms: 3x + 3x + 3x…

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Q: How many positive integers between 50 and 100 a) are divisible by 7? Which integers are these? b)…

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Q: In a stack of cards, each card has a number and letter on opposite sides. You are told that all…

A: Each card has a number and a letter on opposite sides. Any number that is even as well as divisible…

Q: Assume that in a given year the National Basketball Association has 28 teams, which are split into…

A: The Orlando magic plays four games against each of the other four teams in the division. So, in the…

Q: 1. For all positive integer n, which of the following expression is divisible by 6? A) 7" – 1 C) 5"…

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Q: Use the definition of multiplication to show what each expression means. (a)    mn   A.)n + n + n +…

A: This is a problem related to the sum of n terms. The general formula of the first n terms of the…

Q: Write R code that does the following 4 [(-3)* +5] √ 18 37 4 ind

A: The objective is to write R code to find the following expression: 724+51843

Q: Evaluate. Leave as a fraction where applicable. a) 53 b) (-3)² a) b) c) (4) -2 c) d) d) 2.

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Q: Find all divisors of 29,601.

A: In this problem we have to find the all divisors of

Q: List all two-digit numbers that can be written using only the digits 3, 7, and 9. List the numbers…

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Q: Find the sum of positive divisor  a)     40 425  b)       2 491

A: To find the sum of the positive divisor a)     40425 b)      2491

Q: 3 a) v16 + V8

A: # We are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: 12 1 Cakulude 117 35²+12 5²

A: Inverse Laplace transform

Q: Prove that 72 + 66 -1 is divisible by 42.

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Q: How 10-element multisets can be made from the symbols {a,b,c,d}? many O 720 O 286 O 120 O 24

A: Given data: How many 10-element multisets can be made from the symbols {a,b,c,d}?

Q: Each of following has 9 as a factor except: A) 18,018 B) 18,081 C) 81,180 D) 81,181

A: A) 18,018 B) 18,081 C) 81,180 D) 81,181To find which of the following does not have 9 as a factor

Q: The number of zero divisors in the ring Z40 is: 23 47 59

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Q: Find the missing number: 1/4 X 1/4 X 1/4 = 4 X 4 X ? A) 1/1024 B) 1/64 C) 1/4 D) 4

A: A detailed solution is given below.

Q: What are the gcd and the lcm of 1 800 and 2 520, and how many divisors does 2 520 have? Select one:…

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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.