(a) What is the probability that there are no major crac 20 km stretch of the highway? (b) What is the probability that there are two major cra 20 km stretch of the highway? (c) What is the standard deviation of the distance t major cracks?

Q: an = e¬" sin n bn = sin n sin . • Cn 3n+1 n+2 dn –2n n2 -3n+7" %3D

A: In this question, concept of Limit is applied. Limit In mathematics, limits are the points at which…

Q: 1. Find KH. C 10 A 3 В 4 D 21 M172/3

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Q: S. x Y+ 3 x²

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Q: All parts  A b c d

A: Discrete variable: It is a quantitative variable that consists of finite (or countable) number of…

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A: The vector that is 34v is shorter than v as the magnitude of the vector is also short by a factor of…

Q: Consider the following initial-boundary value problem: Ju ər² (DE). (BC), (IC1), (IC2), Fu Ət² u(0,…

A: v(x) is a function of x only so the partial derivatives of v(x) with respect to x is the ordinary…

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A: Since (-3/4) shows that vector has negative sign ,   which means its direction is decreasing or…

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: (ii) Make a graph of- dw versus t. dt 15 15 10 10 dWidt dWidt 5 10 20 30 40 10 20 30 40 time time -6…

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Q: 4 (2+ VT)5 5. Calculate 0.

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Q: Consider the function h : Z xZ → Z× Z defined by h(x, у) 3D (2ху, 7x — Зу). (a) Is h injective? (b)…

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Q: Need solution for D, E and F please

A: ( d )chi-squared goodness of fit test for categorical data. The formula is as follows:Degrees of…

Q: .2 y = 4 - x² and x +y = 2.

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Q: b) Carefully define the null and alternative hypotheses of the Chi Square test underlying the…

A: The claim is that the ages of the company employees are related to the department that they work in.

Q: Consider the function g : Zx Z → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b)…

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Q: 8. Sign analyze f"(x). h. Find all x-values where the graph is concave down. Use interval notation…

A: To find g), h) and i)

Q: Consider a vibrating semi-infinite string over 0 0, u(r. t) remains bounded as r→ ∞ I u(x,0) = f(x)…

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Q: Number of Employees: 1,400 Based on last year's performance distribution, The employees received a…

A: Answer:- Given table is, Total number of employees, n = 1400  Using formula, Expected value = n*p

Q: Find the Cartesian product of the following sets: Let A = {a, b, c, d}, B = {1, 2, 3}, and C = {5,…

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Q: As =→ 3-4 4 Helo M instoirto

A: To find the coordinates

Q: Vectors are shown in the graph. -7-6-5-4 q n P -2 -1 5 2 -1 -2 ? 1. -7 u S 23 r 4 Which of the…

A: The given graph is, .

Q: In a simultaneous throw of a pair of fair 6-sided dice, find the probability of getting: f. An odd…

A: Solution: From the given information, a pair of 6-sided dice thrown.

Q: b. 3+V5-x 3I

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Q: use laplace transgorm to solve f(t) = 3t^(5/2) + 4t^3

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.