[2.13] Let S be a nonempty set in R". Show that S is convex if and only if for each integer k > 2, the following holds true: X1,..., Xg € S implies that £11,x; €S, where E1A; = 1 and i, 20 for j= 1,., k. =1 and å; 20 for j = 1,.., k.

Q: 5. 8. 45°

A: Solve for value x

Q: 2 2 Que s-tion : - 5 %3D 4-3x 4- 3x

A:

Q: 4. 108 45 C B.

A: As per guideline we have to solve only one since all question are different

Q: 4.5.23 how do we figure out to solve it ?

A: The given polynomial is p (t) = 7 + 20 t2 + 8 t3 and the basis is given as { 1, 2t , -2 + 4t2 , -12t…

Q: 7. 28 measure of <K =

A: In a circle, the measure of inscribed angles that intercept the same arc are equal.

Q: 1.4.14 how do we solve for it or calculate ?

A:

Q: 14. 10 19

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

Q: 1o.e 4.60

A: trigonometry rule

Q: 82 20 103 24 6. X. 29 26 . 97 9. 33 19 25 129 11 22 エ

A:

Q: Find the circumference of each circle. Leave your answer in terms of T.

A: From the image of the circle, we see that the radius= 16 units

Q: 5.1q10

A:

Q: 6.2.15. By using expressions $(6.2 .21)$ and $(6.2 .22)$, obtain the result for the one-step…

A: Given: The result that includes the one-step estimate is determined as below,

Q: 9 What is the y value when x equais 1? Your answer 10. What is the y value when x equals 5?

A: We are given a table describing relationship between x and y such that: x 0 1 2 3 4 5 y 5…

Q: 18. 32 13

A:

Q: 14.

A: I have used theorem for circle

Q: 14. 115"

A:

Q: %3D 6.

A: Please see the explanation below

Q: -1 0. B = 1 3 4 A Let AB = ?

A:

Q: 10 8. ID 116

A: Introduction: The division is one of the four basic mathematical operations, alongside addition,…

Q: 20. 5332

A: Take ln on both sides.

Q: 2 3 For A = and B = find (a) AB and (b) -3 5 5 -4

A:

Q: 7. 45

A:

Q: 4. 18 126 =

A:

Q: 7 less than one fifth of C

A: We need to write equation from the given statement. One fifth of C means 15C

Q: 4. 15 33,

A:

Q: | = +x 6.

A:

Q: 2.73-0.94

A: Here we subtract a number in another number.

Q: H6:4 10

A:

Q: 50.19

A:

Q: 12. 30 y

A:

Q: 21 Which graph does NOT represent a function?

A: From the above figure A,B and C shows that any values of x gives unique inmage .So A,B and C are the…

Q: 248.96/3.20

A: we want to solve out the following 248.96/3.20let N = 248.96/3.20

Q: 5.21/6.5

A:

Q: 21

A: for triangle ADB, use the Pythagorean theorem  AB2=AD2+BD2 x2=42+BD2 x2-42=BD2 x2-16=BD2 BD2=x2-16

Q: 15 B X D 16

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.