d(x, A) = inf {|x – y| : y E A}. Show that d(x, A) = 0 if and only if x is an element of the closure A. 7. Which of the following functions f: (0, 1) → R are uniformly continuous? Explain. f(x) = x³ + 3x, f (x) = Vx, f(x) = tan(1/x).

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: 5, 11,17,. Find the 35th term.

A: We can use the Arithmetic progression In order to solve the given problem.

Q: -7 5 1 9 0 -2 -1 2 -1 4

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: n?_4

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

Q: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: 4. Select all the expressions that can be factored into a squared binomial. A. y² + 2y + 1 25 B.w?…

A: Answer and explanation is given below

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: 29 Using the combination formula expand (5+x)

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: 3 3/4 + 2 7/28

A:

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…

Q: 3X 812x

A: To solve the following problem

Q: Expand 2(c+ 3).

A: Distributive property states that if x,y and z are three real numbers then x(y+z)=xy+xz.

Q: 43 – 6(–3E) – 5E simplified

A:

Q: 6÷ 2(1+2) =

A: The expression is given by 6÷2(1+2)

Q: 5 11 (6) 12xy 6xy

A:

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.