2. The sum of three consecutive positive odd integers is always a multiple of (A) 3 (B)5 (C)7 (D)9 (E) 11

Q: 3. A = {x: x is even number less than 11} B = {y: y is an odd number less than or equal to 113

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: if YZi and XZi are standardized variables. and we regress YZi on XZi. and n=30, o=20, and…

A: For a standardized variable x,  sum(x) = 0 and standard deviation = 1 which implies mean of x = 0…

Q: Suppose , a %3 ба n 1 - 11a +6a n-2 +2-3". What is a (h) = ? | n-3 C, 1" + C, 2" + C, - 3" C, 1 + C,…

A:

Q: Find L[14cos28t] 7s s2–256 7. 2s 7s + s2+256 s2+8 7s s2+64 1

A:

Q: Explain why In 4 is greater than 1 but is less than 2.

A:

Q: -1<9+n<7

A: Given,           -1 &lt; 9 + n &lt; 7

Q: Show that the sum of the cubes of the first n positive integers is (n(n + 1)/2)^2

A:

Q: 2. Find the missing numbers in the magic square below. 2 13 10 11 6. 12 15 1 4-

A: Consider the provided table,

Q: . Show that n! > 3ª for n> 7.

A:

Q: For how many values of n is the sum 1 + 2 + · • + n not divisible by n if 1 ≤ n < 100?

A:

Q: What is the reason for #6?

A: Given triangles with DE¯||BC¯

Q: How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Solution:- In the given problem, we will find how many 4-digits number have all their digits in…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

A:

Q: What is the following: 1. Sum of X? 2. Sum of Y? 3. Sum of X2?

A:

Q: 10. If the product of N consecutive posi- tive integers is divided by N, the remainder is always (A)…

A:

Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

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: How many mombers between 50 and 200 can be expressed as 4k-1, where k is an integer?

A:

Q: Suppose that Y - N(2.08,0²) with P(Y > 2.2)=0.274. Find ơ.

A: Here, Y is normally distributed with  Mean = 2.08  standard deviation = ? Given that  Probability…

Q: 1) What is the sum of 8y 1- 2y? and -3y2 + 2y + 7?

A:

Q: (5p +5p - 26) divided by (p+3) O 5p - 10, remainder 4 O 5p - 10, remainder 5 O 5p - 13, remainder 8…

A:

Q: A. В 1 x a n

A: From ven diagram we can get answer easily

Q: If 3 does not divide n then 3|2n^2+1

A: .

Q: Find the order of 2 2; in C

A: Order is 8

Q: Droof that n! %3D1 オ=O K!(n=k)!

A:

Q: What is the sum of 7x*+2xy-5y and 2x+3xy+2y7 14x +6x3y2-10y 14x +6xy-10y 9x8+5x3y2-3y 9x*+5xy-3y3

A:

Q: Show that (n + 1)! > 2"+3, for n > 5.

A:

Q: y is a positive integer. If x-(-y)=z, will z be greater than or less than x?

A: Here we have the relation z=x+y. and y is always a positive integer.  So z is always greater than x.

Q: n! 00 is 2.5.8....(3n+2) Zn=1 а. 3 b. 5 с. d. 3.

A: For the following problem,

Q: Show that n! > 3ª for n > 7.

A: The given inequality is, n!&gt;3n We need to prove that, the inequality is true for n≥7 Firstly,…

Q: & Check the converrgence of the Series 2. 12 3. -3 +14 34 3. 2. 2.

A:

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…

Q: 16. Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: Take integer and add them with his reciprocal Diifferenciate and get

Q: is an integer greater than 1 Quantity a= the tens digit of N Quantity b= 0 which is greater or…

A:

Q: For integers n >1, 2 3 1 + 2! n 1 1- 3! 4! (n+ 1)! (n + 1)!

A: solving the problem using induction:

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: 4. Is 9,521 less than, greater than, or equal to 9,.251? 5. How w many eighths are in 1-? 6. 2+3 x2…

A:

Q: 2 6. The sum of the first n odd natural numbers is equal to n.

A:

Q: 2. A business estimates that 3/10 of people on its mailing list has been to their store exactly…

A: 3/10 can be written as 30/100 which means 30% 9/20 can be written as 45/100 which means 45%

Q: What is the following: 1. Sum of XY 2. a=? 3. b=?

A: Fot the given data, we need to find the following: 1. Sum of XY 2. a=? 3. b=?

Q: 1 3. What happens to the fraction - as x → 0? As x → 0?

A:

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: 1 Evaluate dz =6.0 (z- 4.0) (2 + 49)?

A: Integration of complex valued function

Q: that you are using. Σ n=1 n/2+1 •a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Write as the sum/difference of logs. Express powers as factors. (r+2)71 In LyVz-5

A: Givenlnx+27yz-5To wrtite the sum/difference of log Formula:ln ab=ln a -ln bln ab=ln a + ln bln ak=k…

Q: Σ (-3)" 3.5.7..· (2n + 1) n=1

A:

Q: 12. What is is (n=1)^9 [2n-6] Your answer

A: Given

Q: 134. Ify = -3(x + 2)² + 1, where x is an integer, what is the greatest possible value of y? А. - В.…

A: Let's find.

Q: What is the sum of open parentheses (4 - i)( 5 - 9i )

A:

Q: If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that…

A: