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: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true?…

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Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Let R1 = {(1, 1), (2, 2), (1,3)}, R2 = {(1, 1), (1, 2), (1, 3), (1, 4)}, then R2 - R1 = Select one:…

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Q: -1 0 12 0 1 0. -3 -1 12 1 -3 -3 Ans. -1, ;-5, ; 3, -1 -4 1 1 -4 -1 1 3. ..

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Q: Let A = {1,2,3}, B = {3,4} and C = {4,5,6}. Find(i) A × (B ∩ C)…

A: i)

Q: |-2 5 3 3- Find A-1 ifA = |-4 3 6 1 ol

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

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: 1 40 A-1 4 3 1-59 A

A: We will find the inverse of the matrix.

Q: A-1 If A If A = || 18 01 00 9 then 1

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Q: {x ER: 2x + 31+x=0} = {-6, -2}

A:

Q: If  A = [ 1   0   0   0 ]      [ -4   1   0   0 ]        [ 1  -1   1   0 ]        [ 7  -2  1   1 ]…

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Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: [1 -2 3 3 4 12 -1 -21

A: Given : Matrix  1  -2  3 3  0   4 2  -1  -2

Q: True or false? { x│x∈N} = {0, 1, 2, 3, 4, 5, …}

A: Given:- { x│x∈N} = {0, 1, 2, 3, 4, 5, …} To find:- Given set is true or false

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: Example 68: (R, +,.) and (Q.+,.) are fieleds. (H.W)

A: I have proved the definition of field

Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

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Q: [6 -3 Evaluate | A | for A = 2 3

A: |A| represents the determinant of the matrix A. Let a matrix X=abcd, then its determinant is given…

Q: a. Is 3 E {1, 2, 3}? b. Is 1 C{1}? c. Is {2} d. Is {3} {1, 2}? {1, {2}, {3}}? e. Is 1 € f. Is {2} g.…

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Q: 5 -4 -2 3 2 2.) -1 6 -5 1 -31 7 4 -7 1

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Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

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], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

A:

Q: Let a = (2, 4, 6) and b = (4, 2, 4). - (å – 6) × (å + 6)

A: Given: a→=2i^+4j^-6k^ b→=4i^+2j^+4k^ a→-b→=2i^+4j^-6k^-4i^+2j^+4k^          =-2i^+2j^-10k^…

Q: -1 - 1 Suppose A Then (A") = 2 1 ||

A: Here, the given matrix is: A=-1-121 To find (AT)-1. Note that (AT)-1=(A-1)T

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: H(x) denotes " is a horse." U (x) denotes "x is a unicorn." B(x) denotes "x is blue." C(x,y) denotes…

A: handwriting solution

Q: (2) You roll a die 8 times and tabulate the results, counting the total number of 1s, 2s, 3s, 4s,…

A: Given the event of rolling a die 8 times

Q: MODE =

A: Mode is defined as that value which has the highest frequency.  In other words , mode is that value…

Q: There exists a real number R which is greater than 5 O R= {7, 42,2t, and 97/3) O R= {1, 2, and T/6}

A:

Q: | Let A = P({1,{1}}}, B = P({0,1}), and C = P({0,1}) where P(S) is the power set of S. Find the…

A: (1){{0},{0,1}}(2){ϕ,{1},{{1}},{1,{1}},{0},{0,1}}(3)ϕ(4) Refer to explanation part below.   If you…

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

A:

Q: Which Decimal Squares best describe the following computations? a. 0.3 + 0.45 = 0.75 b. 0.350 – 0.2…

A: In a 10×10 grid, one of the smallest square has value 0.01. If the 10×10 grid is divided into 10…

Q: -2 -1 -2 and A = 1 Determine A if A -1 -2 -3

A: