5. Higher Order Thinking At the beginning of summer, a maintenance crew refills a swimming pool at a city park. The relationship between the time in hours to fill the pool and the amount of water in the pool is proportional. After 4 hours, the pool holds 5,200 gallons of water.

Q: What is the matrix F was applied to the vectors [J] transformation? F = in the picture in order to…

A: Matrix of a linear transformation : Let T : U → V  be a linear transformation from the vector space…

Q: 2-201 0 1 1 1 103 A = 0 1 -1 3 0 1 1 1 1 1 1 Which is the element A3,2?

A: To find the element A3,2  of the given matrix A.

Q: 2-4 1 0 -3 1 Compute each expression below if possible or explain why it is not possible. 5. If A =…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Simplify the expression 1:E -2 -31 (-5 -51 5 l·l-1 2 O[ 6 -27 -12] О 113 -51 20] -4 O 16 -6] l8 13]…

A: The aim is to evaluate -2-335.-5-5-12 Use matrix multiplication to simplify.

Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

A:

Q: eu (1-eu)² - du 2

A: Given

Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

A:

Q: 6 and an nan-1 + 2 then find If a1 the value of az.

A:

Q: 9-1 0 A=3 2 1 4. 54 0 Fir

A: Given matrix is A=4−10321540 We have to find the determinant of the matrix A=4−10321540.

Q: 1 Evaluate dx 2 x*V1+x 2.

A: We have to evaluate , ∫1x2 1 + x2 dx

Q: Ms. Kemp asks her students throughout the year to record the number of hours per week they spend…

A: Best fit line can be identified by 2 methods first is  eye ball method which states that draw a…

Q: -5 –5 4 -5 3 - 5 Compute: 4 4 -4 -1 2 0

A: Use product of two matrix

Q: (7x + 2) + (3x - 1) (3x + 7) + (2x - 5) (6x2 + 10) + (-4x² - 5) (6x+ 3) + (-6x - 3) (3x + x - 1) +…

A:

Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: Ep1(90 + 1) (iii) Epo(9o + 91) Χ 100 Ep1 V9091 (iv) Epo vg091 Χ 100

A:

Q: 2 (1) 12 -1 1 Sechelon form -11 200

A:

Q: arg((1+i)(1+i)+(-1-i))

A:

Q: O Multiply O x+1 ○2-5 I I x-+-5 3x+2 x+4 2x-11 x+3 2x²-7x-15 x²-25 x x²+x 2x2+5x+3

A: We need to multiply2x2-7x-15x2-25×x2+x2x2+5x+3

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

A:

Q: - 4 3 - 5 A = -1 -9 -8 B = 4 - 3 4 8 Find AxB. A×B =

A:

Q: 75+4( ((5+1)J-9+2i ) +2(UF-27 +7i

A:

Q: 4 نقاط * find each of a,& b 3 – i 2 – 2i - If a + ib = then 2+ 3i 1- 5i

A:

Q: (-37-631)÷(le lli)

A: topic - complex numbers

Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: [5 A = Let -3 -4 1 C = B = and 2] simplify AB+AC

A: Use the property of Matrix addition and multiplication to get this.

Q: State and prove archimedean property and it's corollaries

A:

Q: 7 4 3 find Jordan form -2 12 -2 9 -4 9

A: We have to find the Jordan canonical form of the given Matrix.

Q: 4(1+ In²e) -1 de Otan-(In@)

A:

Q: Using Demofer's Theorem

A:

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: Question 10 What is the expanded form of (2r + 5)*? Hint: Use Pascal's triangle. A 16x* + 625 B. 8x…

A:

Q: -1 -1 01 3 31 [4 The (1,2) – entry of, 0 is 12 1 2 (A -1 B) 4 c) 1 D) 14

A: We want to find (1, 2) entry

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A:

Q: 3 2 х -9 х+2

A: Calculation/Explanation: 3x - 9 > 2x + 2 3x - 9 - 2x + 2 > 03(x+2) - 2(x-9)(x-9)(x+2) >…

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.