1 1 0 0 1 Since the circuits corresponding to equivalent Boolean 0 actly the same effect, we will write an equal sign between such expres example, we will write expression (xvy')v (xAz)= xvy, since the truth tables of the two expressions are the same. In subsequ we will study how we can reduce Boolean expressions to simple expressions to improve circuit design. EXERCISES 10.1 In Exercises 1-8, write the Boolean expression associated with each circuit. 2. х D 1. x у y. x х у DD 4. x- у 3. X- у — y X 6, х y 5. X_ X

Q: 2/7 + -4/3

A: Given,

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: 2/5+4/8

A: We have to find the sum

Q: n is the same as 239 added to the product of 238 and z

A:

Q: X+X+y if x = 9 and y = 3

A: Given data is x = 9 and y = 3   find x + x + y = ?

Q: 4n – 1

A:

Q: 7/2 + 3 4/6

A:

Q: 22n+1 3n+1 2.

A:

Q: X-3 X+1 Rf Dfx

A:

Q: Consider F(x) = = F(0) = 0 F'(3) = 6 F'(1) = 0 O F'(4) = 10 F'(2) = 2 I tf(t) tf(t) dt. Which of the…

A:

Q: f(-0.5) =

A: We have to find f(-0.5)

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: graph shows the relationship between the volume of the dilated box and the scale factor. diusuon 5.…

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: Find A. -6 4 (4A)-1 -2 1 A =

A:

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: Simplify. (4y²– 2y-3)+(3y²–5y-4)-(8)²-4y-8)

A: Given :

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: 10. 3 + Зу- 1 + у

A: Given that                     3+3y-1+y Now we simplify this.                           3+3y-1+y…

Q: X5 y / x4 y6

A: Given: x5yx4y6

Q: 11 –/7

A:

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: -3 -2 -1 1 2 0000000 3.

A:

Q: -4 -2- 4 8

A: We are asked to find the horizontal asymptote and vertical asymptote. Horizontal asymptote (HA) - It…

Q: 2/5 +7/12

A: Please see the answer below.

Q: -5 4 -2 -7 -8 2.

A:

Q: 6 1/6 + 6

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.