A researcher wanted to study the effect of low light environments on the growth of basil plants, so she grew five plants and measured the height of each after two weeks in a completely shaded pot. She calculated a sample mean of 3.6 inches and a sample standard deviation of 1.05 inches. If the heights (in inches) of the first four plants in her sample were 4.7, 3.9, 2.0, and 4.2, what is the height of the other plant?

Q: What are the possible number of Boolean functions with n-ternary variable?

A: We have to state the possible number of boolean functions with n-ternary variables.

Q: If A = then 3A-2 = 4 -1 0 0 5 27 0 0 0 48 0 0 0 75 None of the above -27 0 0 0 - 48 0 0 75 27 0 -27…

A:

Q: -2 1 A = -3 2 5 -1 3 Then adj(A) = -11 -9 -3 6 -5 -10 1 None -11 3 -5 -9 6 -10 -3 2 11 -3 5 9. -6 10…

A:

Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

A:

Q: 3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. ¬3x : ¬P(x) V-Q(x) b. Vx: P(x) =…

A: To find: The equivalent statement of ∀x : Px∧Qx from the following:a) ~∃x : ~Px∨~Qxb) ∀x : ~Px⇒Qxc)…

Q: Determine det(A) Determine adj(A) -3 -2 -3 +00 A = 1 4 6 0 -1 3

A: given matrix is A=-3-2-314360-1

Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

Q: d. [10 [ 7x= [37] X 6 8 Then X = 00

A: *Note: As per Bartleby's guidelines, in case of multiple questions only the first question is…

Q: 1 0 0 0 5 10 0 A = 7 -5 1 0 -5 -6 5 1 Then A-1 %3D

A:

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

A:

Q: All discrete variables are categorical but not all categorical variables are discrete. True False

A: A variable is a characteristic that is being measured.

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

A:

Q: Let C(x) be the statement "x has a cat." let D(x) be the statement "x has a dog," and let F(x) be…

A:

Q: (5 Converse Does there exist a statement that is false although its converse is true ? Justify your…

A: Given that, does there exist a statement that is false although its converse is true. We have to…

Q: The relation R₁ = {(a, b) = N²: alb} symmetric. O True False

A:

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

Q: (e) Given the sets A = {-5, –3,0, 1, 5} and B = {-4, –3,0, 1, 5, 6}. Find AN B. (A) {-5, –4, –3, 0,…

A: We have to find out the intersection part

Q: If a and b are even then GCD(a,b) must be 2

A: Given statement :- if a and b are even then GCD(a,b) must be 2

Q: Let F(x.y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The…

A: The symbolic is given as follows: ∃x∀y¬Nx∧Wx∧Ry→¬Fx,y We are given that: Fx,y: "x is friends with…

Q: -2 1 A = -3 %3D -1 3 Then adj(A) = %3D -11 -9 -3 3 6. -5 -10 1 11 -3 5 9. -6 10 3 -2 -1 -11 3 -5 -9…

A:

Q: (e) There exist subsets A and B of N such that (A-B) n (ANB) = TRUE FALSE

A:

Q: For what function f and number a is the limit lim t-1 5t²-8t+3 t-1 the value of f'(a)? 1. f(t) = 5t²…

A:

Q: (a) all pistols are to be from the same manufacturer (order does not matter here)? (b) the pistols…

A: A firearm salesman has to display 2 pistols from an inventory of 7 Glock’s, 8 Sig Sauer’s and 5…

Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

A: Steps to find the projection of c1 : Find the orthonormal basis e1 of c2 and e1, e2 of {c2, c3}.…

Q: If A = Thus, A-1 [28] then det (A) is Choose and det(A-¹) =

A: A=28-50

Q: Let A {1,3,5, ... }, then A is well- ordered.

A: Here we have given a set A ={1,3,5,  ...}

Q: ||x+y||?+||x-y||?= ||x|2+||y|² O 2(1시7+ \»1) o 2(||² - ||") .

A:

Q: A and B cannot c are independent

A: For independent events : P(A n B) = P(A) * P(B)  And P(A u B) = P(A) + P(B) - P(A n B)  For mutually…

Q: Example: Let x=1,2,3,4,5 15 P(x) = show that p(x) is p.d.f elsewhere

A:

Q: (d) How many subsets V of A are there so that 1 € V or VOB= Ø? Explain.

A: This question related to set theory . Solution is given below.

Q: if and only if |z| =3 vlgn

A: True

Q: {3,5,6,7,9} (a) State A in standard roster form. A =. (b) Let B := A n{1,2,3,4,5, 6, 7,8}. State B…

A: Given A={3,5,6,7,9} B=A∩{1,2,3,4,5,6,7,8} (b) To state Bin the roster form. (c) To calculate…

Q: 6 0 0 0 then det (A) = | If A = -9 9 -9 7 8 4 0 1 -2 0 0-6

A: Given,

Q: {0,1,2,5,6,7} (a) State A in standard roster form. A = (b) Let B := A n{1,2,3, 4, 5, 6, 7,8}. State…

A:

Q: 4. Let A = {a,b), B = {1,2], and C= {1,2,3), and see Definitions 2.2.4 and 2.2.7. (a) List the…

A: