1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes through the point (-4, 0) and that also passes through (2, -20).

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A: Expected date of arrival can be calculated using expected value formula shown below where x is the…

Q: Let I be a central ideal of L (i.e. I is contained in the centre Z(L). Prove that if L/I is…

A: For a set S, which forms an abelian group under operation addition and a structure denoted by [ ,]…

Q: Consider the indefinite integral- dx: (x5 +2)° This can be transformed into a basic integral by…

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Q: Use Stoke's Theorem to evaluate / F. dr where F ` = ( e-⁹x - 7yz, e¯¹y + 7xz, e−²²) and C is the…

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Q: In a random sample of 37 criminals convicted of a certain crime, it was determined that the mean…

A: Given data n=37 mean=61 standard deviation=8 confidence interval=95%

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A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…

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A: Standard Error of a sample proportion is given by:

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A: In this question we have to explain which measures of spread is considered as most resistance to…

Q: Present fcx) = sh x of its Taylor series as the sum centered at

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Q: Solve. Express your answer using interval notation. Illustrate your solution on a number line. 5x +1…

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Q: 2. Consider the curve C generated from the intersection of the Plane x+y+22=2 2 and the Paraboloid…

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A: Given that there are five containers on the table. Each ball is equally likely to be placed in one…

Q: Let f(x) be maximum and g(x) be minimum of {x|×|, x² | × [} then

A: 9

Q: A cancer test is 97% accurate in cancer patients. But in a person who ☆ does not have cancer, it…

A: Consider the following events, C=a person has cancerC'=a person does not have cancerP=test shows…

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A: According to the given information, Let R be a rectangle with corners at (a,a), (-a,a), (a,-a), and…

Q: List all possible values that could be roots of the polynomlal 4x*- 23x – 41x2 + 59x- 18 according…

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A: We have X a random variable, which follows the normal distribution with [100,200]. We have to find…

Q: The size P of a certain insect population at time t (in days) obeys the function P(t) = 200e0.06t…

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A: We reject the Null hypothesis, when the p value of  the test statistic is less than the level of…

Q: 6. A theater has rows of seats that can seat a total of 144 people. The number of rows is 7 less…

A: Solution: Let the number of seats in each row = x so, number of rows = x-7 Total seats = 144

Q: Let R be the region which is bounded by the graphs of y y = x2 and y = 4. SKETCH and find the AREA…

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A: Confidence Interval will be given by CI = Sample statistic +/-  Margin of errorMargin of error =…

Q: Suppose p is a prime and a and k are positive integers. Prove: If plak, then pk|ak.

A: Suppose p is prime. Let a and k are positive integers. If p|ak then we need to prove that pk|ak.

Q: The general anti-derivative of the function f (x) - In(x) is given by x In( x)+ C Inx)-x+ C x In(x)…

A: The integral (anti derivative) of fx=lnx can be evaluated by using integration by parts. The…

Q: Prove that for all natural numbers n ≥ 5, (n + 1)! > 2n+3.

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Q: Which of the following is a possible value of r² and indicates the strongest linear relationship…

A: We have given that the statement about to the correlation coefficient between the two variables X…

Q: Given a point P (x0, f (x0)) on the curve of a differentiable function y-f (x), the x coordinate of…

A: Consider the point Px0,f(x0) on the curve of a differentiable function y=f(x).

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A: We have given 4 figures out which we have to tell that which figure is most skewed and explain why?