2. Determine the power set p(A) = {{a, b}, {c}, {d, e, f}} 3. Suppose A = [7, e,0} and B = (0,1}. Find (A x B) x B.

Q: Which of the followwing sets is linearly independent? O M={ (1,1,3),(3,2,0), (4,5,6)} O…

A:

Q: Which of the following sets is a linearly independent set? a. (1,2),(5,10) b. (1,2),(5,8) c.…

A: Linearly independent and dependent set

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: 5. Find the on the interval [0, 4]

A:

Q: 5. For k(x) = 3 × - 6, determine kª(8) -

A: To find the required value we need to find the value of x for which k(x)= 8. 4x/5 -6 = 8 4x= 70…

Q: found z already what is w?

A: Definition: A set x1, x2, …, xn of a vector space is linearly independent if there are scalars α1,…

Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

A:

Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

A:

Q: 1 Compute the quantity, w, using w= - 1 w•w - 7

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: Let the set S (-2, 0, 5), fx)=,-1and g(x)=3x- x2 .Are the set gof (S) : {3, -4, 14) {399, 0, 143}…

A:

Q: let x ~ N (10,2) Calculate P(x>10.5)

A: Given

Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: Show that ¬∀x∈A ¬P(x) is equivalent to ∃x∈A P(x)

A:

Q: Suppose g : A → B and f : B → C where: А 3D {а, b, с, d}, В 3 {1, 2, 3}, С%3D {e, h, g, k}, and g…

A:

Q: Find n(A) for the following set. A= {a, b, c,.., z} n(A) =]

A: Given Data: Set A: {a, b, c,..., z} The set A is consists of English alphabets. English alphabets…

Q: (a) separates the largest 3.3% of all z values from the others z* = (b) separates the largest 0.8%…

A: HERE ALL PROBABILITIES ARE FROM NORMAL DISTRIBUTION TABLE

Q: 3. What are the restrictions on x?

A: It is known that side length cannot be negative. This implies that, 3x+2>03x>-2x>-23 First…

Q: Find the value of K by determines. |1 2 3 0 1 2- |2 1 3 3 4 3 kl

A:

Q: For what values of n will the set of ordered pairs {(1,5),(2,4),(n,3),(n+ 1,2),(n + 2,1)} represent…

A: Domain It is a collection of the first values in the ordered pair (Set of all input (x)…

Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

A:

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: . List the elements of the set in Roaster Method. {x|x W, x < 8}

A: Given A set in set-builder form is x|x∈W, x≤8 Here, the given set includes the all whole numbers…

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: 8. ) Find the smallest values of x and y such that 27

A: Given query is to find the smallest value of x and y.

Q: 1. Find the interior and boundary of the following sets: a] A= {1-:n€ N} %3D b] N c] Q d] Úb, 1-]…

A:

Q: 7- Find a given that A(0, a)is equidistant from P(3, -3) and Q(-2,2).

A:

Q: 1 Compute the quantity, w, using w = W •W - 4 - 5 LO

A: The given vector is w=2-4-5. We know that if a=a1a2a3 and b=b1b2b3 are two vectors, then the dot…

Q: Determine which of the following sets are bases for R3. (a) {(1,0,–1), (2, 5, 1), (0, –4, 3)} (Ъ)…

A:

Q: The circular convolution of f [n] = [1,–2,3] with g[n] = [-4, 5, –6] is: A- [-4, 13, –28, 27, –18];…

A:

Q: d. What happens if P < M for all t?

A:

Q: Which of the following sets spans R³? None of these O {(0,1,-1)} O {(0,1,-1),(0,0,0)} O…

A:

Q: Find c such that (5,−9)(6,3), and (c,8) lie on a line. c=

A:

Q: Draw the Hasse diagram for R.

A:

Q: If X is uniform on [-2,2] then p(x <0) = 1 1 2

A: X is uniform on [-2,2]   a = -2,   b= 2

Q: Suppose X~ N(u=120, o = 3), determine the value of x such that P(X>x) = 0.05.

A: Given that X follows N(mean = 120, SD = 3), then Z = (X - mean)/SD follows N(0,1)

Q: In an analysis of two attributes, if: N=160, (A)= 96 and (B) = 50, %3D find the frequencies of the…

A:

Q: Express the set in roster form. B= (x | XEN and x26) Choose the correct answer below. O A. B- (7, 8,…

A: Given: B={x|x∈N and x≥6} To find: Express the set in Roster form

Q: Let A = {1,2,{{1,2}}}. Find the power set P(A)

A:

Q: Determine the following two sets. 1 (a) N(0, -), (b) U [0, 1 - n n=1 n=1

A: a∩n=1∞0,1nb∪n=1∞0,1-1n consider the sequence xn=1nlimn→∞xn=limn→∞1n=0which means xn converges to 0…

Q: D. Let Find 2,-

A: We will find out the required value.

Q: Express the set using the roster method. {x | xEN and x<9} Choose the correct answer below. O A. (1,…

A: We Know that Roster form: In roster form, all the elements of a set are listed, the elements are…

Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

A:

Q: Suppose x ~ Uniform(1, 2), and

A:

Q: b If K = 4.1 x 10-6 then pK, Submit

A: This is a basic log problem

Q: a. Write formulas for length, width, and volume of the box, each in terms of æ . Preview W = Preview…

A: Note: There are many subparts in the question. So I will answer the first subparts in the question.…