Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 45.6 months and a standard deviation of 7.3 months. A USE SALT (a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace? (Round your answer to two decimal places.) (b) If Quick Start does not want to make refunds for more than 7% of its batteries under the full-refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)? months

Q: [3 5. Let A = and B = [, Find C = (AB)"

A: In the given matrix, A and matrix B  Apply matrix multiplication technique .

Q: 4-(3n+2) = 4(- 3n+5) %3D

A: Given : 4 - 3n + 2 = 4-3n + 5

Q: dw (Sw2 +1), In(5w²+1) (5w

A: ∫w*5w25w2+1*ln(5w2+1)dwSubstitute…

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: (5+1) + () + (+) - (+) +.. 27

A:

Q: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

A:

Q: Show that

A: Our Aim is to Prove that:-111abca2b2c2=a-bb-cc-a   -(i)

Q: (d) 3! 2! and (3-2)!

A: Given that  D) 3!.2! E) (3.2)!

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

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

Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: 1+2sin(2Ø)=0

A: Any trigonometric equation in terms of variable x has infinitely many solutions if the domain of the…

Q: Show that (A¹)¹ = A for: A 4 3 3 2

A:

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

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: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: Find the value of n(An B) if n(A) = 10, n(B) = 13, and n(A U B) = 18. n(An B) = (Type a whole…

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

A:

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: Let B : and i Then (7)8

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: C. In the picture, prove that a(a+b)=c(c+d). a

A: Given : To prove : aa+b=cc+d

Q: Find the value of n(A U B) if n(A) = 8, n(B) = 13 and n(A n B) = 6. n(AUB) (Type a whole number.) =

A:

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: (507)10= ... Select one: a. (377)8 b. (327)s c. (773)8

A: To change from decimal to octal binary system, divide by 8 ,write remainder from bottom to up.

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

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.