-[2.16] Let S be a nonempty set in R" and let x e S. Consider the set C = {y : y 2(х - х), A20, х E S}. Show that C is a cone and interpret it geometrically. b. Show that C is convex if S is convex. Suppose that S is closed. Is it necessarily true that C is closed? If not, under what conditions would C be closed? а. с.

Q: 5. 8. 45°

A: Solve for value x

Q: 10

A: To simplify 35+710.

Q: 8. 8. 3/ 2.

A:

Q: 8.20+2

A:

Q: 14. 10 19

A: 14 Consider the sine angle property is, sinx=perpendicularhypotenuse

Q: Question 15.22

A: We have to find value of test statistics.

Q: N. 15 12

A:

Q: 18. 32 13

A:

Q: 14.

A: I have used theorem for circle

Q: 20 9.

A:

Q: ne distance between the points on the gi

A:

Q: 9. 12 54

A: Will use basic trigonometry to solve this. Particularly we will use sine of x.

Q: Match the given parametric equations with one of the parametric curves. x-3- sint, y = 5+ cost O A.

A: To sketch the given parametric equation :- x = 3 -sin t  and  y = 5+cos t

Q: 10. 6. 3.

A: we have to find the radius of circle from the given figure

Q: Find the value of each variable.

A: The solution is:

Q: 16. 15 11.3

A: We know that, cos(x)=adjacent/hypotenuse.

Q: 19 17 E31

A:

Q: 2. tox²Sc.

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 11 11 4. 64

A: Given: simplify the expression

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

Q: 4. 15 33,

A:

Q: 9.

A:

Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 24

A: Solution : find length of side

Q: 12 10 6. X%=

A:

Q: 3 19.21 11 11

A:

Q: - 2 4. - 3 V22 4 2/7 41M

A:

Q: 4. 36

A: Given,          34=a36

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.