The process of random sampling guarantees that the sample selected will be representative of the population. Why is this statement not true? What other factors and variables influence the outcomes of studies?

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 2/18 – 12/32 + 3V50

A: The solution is given below in the next step:

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: Find L{1}ℒ{1}.

A:

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: 7 items chosen 5 at a time

A:

Q: 6 2/5 + 1 3/10

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 16 2/5- 8 4/9

A:

Q: 20/5+5+2*8

A: Consider the given expression

Q: ne binomial:

A:

Q: 6 2/5 ÷ 4

A: Given query is to solve the expression.

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: -3n in

A:

Q: expansion of (1-2m)“

A:

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: Compute the indicated product.   -1 3   9 2 0   3 9 3

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 8-12 (²

A: -83

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 土4 7

A:

Q: 22 7/8 - 7=

A: Given,

Q: 4) /

A: Using By Parts rule of integration.