While cramming for her МАТ examination, a Т student learns a large number of formulae. At a time x weeks after the examination, the percentage of those formulae that the student is able to recall is given by 180 + 20e0.5x p(x). 1+ e0.5x

Q: a) Given that X∼N(18,22)  Find, (i) P(X<25) Answer:Round your answer to 4 decimal places.   (ii)…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Let P(r) = 2x – 5z2 + 2.3 (a) Evaluate Pat a = 2.25 (b) If Q(x) be the nested form of P(x), evaluate…

A: (a) Obtain the value of P at x=2.25 as follows.…

Q: Suppose P(t) is the US population in millions today and t is in years. Match each statement (I)-(IV)…

A: Topic - Functions We are given P(t) is the US population in millions today and t is in years.

Q: The total voting-age population P (in millions) in the United States from 1990 through 2014 can be…

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Q: Set up the Newton’s scheme of iteration for finding the p-th root of a positive number N

A: Let x=N1p ⇒xp=N Let fx=xp-N Differentiating wrt x, we get  f'x=pxp-1

Q: Find the order of: (c) (Z/100Z)*

A: We will use the fact that U(n) is isomorphic to (z/nz)^× to find order .

Q: (a) A B (b) (c) P(A)=0.82, P(AUB) = 0.91, P(B) = 0.64

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Q: Given the recursive formula, ƒ (n) = f (n − 1) + f (n − 2), n ≥ 3, and f(1) = f (2) = 1. What is f…

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Q: (a) Given that X∼N(18,22) Find, (i) P(X6.2) Answer:Round your answer to 4 decimal places.Your…

A: From the information, given that(a)Let X denotes the random variable which follows normal…

Q: I have solved part A. My answer is to add numbers in front of an existing sequence that works.…

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Q: Alice works a 37 1/2 hour week at $10.72 an hour. Overtime hours are paid at 1 1/2 times the regular…

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Q: temperature of the material at the end of the fourth stage is:

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Q: Let P(E)=0.85, P(F) = 0.23, and P(EUF) = 0.94. Find (a) P(EIF) and (b) P(FIE). (a) P(EIF) = (Type an…

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Q: Fin, while snooping around his grandmother's basement stumbled upon a shiny object protruding from…

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Q: For the model (1-B)(1-0.2B)X(1-0.5B)a,, find forecasts for one and two steps ahead, nd show that a…

A: Given: Let Xt∧k=1.2 Xt∧k-1-0.2X∧tk-2 ---(1)

Q: For the completion of a given process, the raw data showed a statistical average time of 2.07…

A: As per POLICY I HAVE CALCULATED FIRST MAIN QUESTION Here given  completion of a given process, the…

Q: How long would $8600 have to be invested into a fund earning 8.1% interest, compounded cotinuously,…

A: Continuous compound interest:

Q: Find the solution of the sequence of Fibonacci numbers satisfy the relation fn=fn-fn-2 with initial…

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Q: (5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year.…

A: Given that: Initial population of Sandago, Po=70000Rate of increase, r=3%

Q: Domestic corporation X owns all of the stock of domestic corporation Y, which, in turn, owns all of…

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Q: a=(1 2 3 4 5); sign(a)=1 a=(1 5 3); sign(a)=-1 Ⓒa=(15); sign(a)=-1 a=(1 5); sign(a)=1 a=(1 5 3);…

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Q: Consider the following. P(A) = 0.27 and P(B) = 0.45, and P(A and B) = 0.1215 (a) What is P(A | B)?…

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Q: The number of trees in a forest is 90 million in 1997 and increasing at a rate of 0.4 million trees…

A: Given data is in 1997             Number of trees in a forest = 90 million…

Q: 1. If $2500 is invested at 2.15% yearly interest, determine the value of the investment at the end…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.