(b) Find the value of a4 if a, = 1, a2 = 2, and a, =an-1 + an-2 +· +a1

Q: OPTER a) Describe how you would simulate the number of cards of your favorite player you might find…

A: Here the given tale is

Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

A:

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: 2 1 A= 4 3 56 2 1 B= 0 1 47

A: Answer is mentioned below   Yes, it's possible.

Q: Find the number of automobile license plates where: (a) Each plate contains 2 different letters…

A: We have to find number of automobile license plates where each plate contains 2 different letters…

Q: 1. (6+8) ÷(12 – 5) 12 – 4 3. 5 + 3 5. 20 – 12 ÷ (1+3) × 2 - 7. 3+ 12

A: If you like the solution then please give it a thumbs up... The Answer is:     Result:           1.…

Q: 17 3. Evaluate: de (r- 1)(2 + 16)

A:

Q: (近-3) D34 ENone ofthese 4. Find . @ 10

A:

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: 5. A. undefined B. 2 × 2 Consider (a) What is the size of QTP-¹? P= A. -1.5 B. -2 = [1 C. 2 × 4 D. 4…

A: Given: The matrix P=4611 and Q=22341-120 a) Find the size of the matrix QTP-1 b) Find the entry 2,1…

Q: The smaller a p-value is, the stronger it is against H.. O True O False

A: p value is the probability value which one is calculated under the test statistic.

Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A:

Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: 15. A rug manufacturer has decided to use five co rug, only four spindles can be used. In…

A: Given that -A rug manufacturer has decided to use five compatible colors in her rugs. However, in…

Q: Compute x3 in two ways: by computing x, and x2, and by computing P³ [1] P= x₁ = 0.1 0.2 0.9 0.8 0.19…

A: Solution: The given matrix is, P=0.10.20.90.8,x0=10. Now compute x3 in two ways:

Q: Suppose ℙ(?1|?2)=0.46 P ( E 1 | E 2 ) = 0.46 , ℙ(?2|?1)=0.92 P ( E 2 | E 1 ) = 0.92 , and…

A: When the occurrence of one event depends on another, we use conditional probability. For example, we…

Q: Determine n if (i) 2n C3 : "C₂ = 12 : 1

A: From the provided information,

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

A:

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: 3. The diagram at the right shows two different kinds of birdfeeders that are used to attract birds.…

A:

Q: 2{0} = {???} 2{1,2} = {???} 2{a,b,3} = {???}

A:

Q: Suppose that five microchips in a production run of fifty are defective. A sample of seven is to be…

A: The provided information is as follows:The total production run is 50.The number of defective…

Q: solve the following a. 20!/16! b. P{6,3} c. C{9,}

A: 6)a)

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.