1. Experiments show that the probability that a light bulb manufactured by a company will last at least e hundred hours is given by -0.0124 0.012e dt. In an interview, the CEO of the company says that 90% of the light bulbs manufactured by her company last at least 1000 hours. Would you characterize her statement as honest? Back up your answer with appropriate caleulations and explanations.

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A: Given:  NT=21T2-80T+24 , 4<T<34 Tt=6t+1.8T

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Q: how do I get r - 1 = 3?

A: Given: fx=xex2+1 The iterative sequence for the root of this equation using Newton's method is…

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A: The given function fx=5x. (a) Obtain the function fx=5x shifting 2 units upward as shown below. In…

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A: Given,

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Q: II. Linear Programming. Kohler Furniture manufactures two types of chairs, regular and high back.…

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A: Given that, the graph of the function is fx=4x and also given that, the function shifted down 6…

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A: A). a=$3000,  r=3%=0.03  &  k=4.   B). Put a=$3000,  r=0.03,  k=4 & t=7 in At=a1+rkkt, we…

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A: A) Since every year, total reserves decrease by 16 billion barrels of oil, therefore: R=2000-16t,…

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A: 1) f(g(3))  Since ,  g(3)= 5 So,.     f(g(3))=f(5) = 1 2),  g(f(1))  Since.   f(1) = 3 Then ,…

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A: A linear equation needs two parameters - the slope and the intercept. The slope is the amount of…

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A: The functions f(x) and g(x) are piece-wise functions. Comparing both the graphs the function f(x)…

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A: Consider the given graph: Observe the following: Maximum input is 2. Minimum input is -3. Maximum…

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A: Given vectors: Denote the given two vectors as A and B.

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A: To find the composition values , 1)fg32)gf03)ff24)gg5 For finding this values from the graph we have…

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A: From the given function: plot  f(x)=3 from -∞<x≤-2 plot  f(x)=-2x-1 from x>-2  to x≤1   x…

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A: It is know that, If c denotes the length of the hypotenuse and a and b denote the lengths of the…

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A: Given:       y>12x−1y<−4x−2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.