What is the valoe of Gre your anwer as a fractuon

Q: Series to Rind use lim 1- Cos 2X

A: Use series expansion of the e3x and cos 2x with help of ex and cos x:

Q: Eastern gray squirrels move around their birth sites to a territorial vacancy. Let X be the distance…

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Q: 0.5868 0.6332 (ii) Calculate the error bound. (Round your answer to four decimal places.)

A: Error Bound is calculated using the formula: EB=Upper limit-Sample proportion=0.6332-0.61=0.0232…

Q: Expand (2+ value of (1.9975)6 up to four decimal places. X\ 6 up to r³ in ascending power of r. Find…

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Q: Suppose X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1), independent. What is Var(X*Y)?

A: We have given that  X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1)The variance of Bernoulli distribution  is…

Q: 1 Find the mean value of over the interval [0,27]. 4 + COSX

A: Follow step 2 and 3.

Q: If f (x) = cos x 0 ≤x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be…

A: Given, f (x) = cos x 0 ≤x ≤ 3π/4 evaluate the Riemann sum with n = 6,

Q: The radius of a circular oil slick expands at a rate of 8 m/min. a) How fast is the area of the oil…

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Q: Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces…

A: Probability:The formula for probability of an event E is as follows:

Q: By using Mean Value Theorem, show that ln(1+x)  0

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Q: State the Extended Power Rule for differentiating x n. For whatvalues of n does the rule apply?

A: State the Extended Power Rule for differentiating xn. For what values of n does the rule apply?

Q: Find the upper sum for f(x)=sin(x) over the interval [0,π/2] with n=6. Round your answer with three…

A: Given: The given function is fx=sinx. To determine: The upper sum of the given function over the…

Q: The area under the graph of the function e−x^2   (natural exponent e to the -x squared) plays an…

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Q: Use Simpson's rule with n = 4 to approximate cos() da Keep at least 2 decimal places accuracy in…

A: Using Simpsons rule to solve the given integral

Q: Find the lower sum for f(x) on the interval [1, 6] using 5 rectangles. 4 10 then enter this fraction…

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Q: A die is rolled 7 times. Let S be the sum of the numbers observed. What is the value of E(S)?

A: Lets Assume we have a 6 faced unbiased dice :

Q: 10. It has been lo ponents produced in a certain factory are de hundred is drawn from each day's…

A: A random sample of size one hundred is drawn; n=100 1% of electronic components are defective;…

Q: 3) Ball beoning of agiven brand Lweight 0:50g with of 0.02g.cohatis the probobility that too. lots…

A: Given: Ball bearings of a given brand weigh 0.50 g with a standard deviation of 0.02 g.

Q: Find the fewest number of terms necessary to estimate the sum  of k=1 Sigma infinity.  3/k^3 .…

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Q: The volume of a spherical balloon is increasing at a rate of 11a cm3/sec. When the radius is 6 cm,…

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Q: ninutes. It is estimated that six cars will pass this parking space within the time span and that…

A: Given Let X be the number of cars

Q: A research center claims that 31% of adults in a certain country would travel into space on a…

A: Solution ; Given information : n= 1200 Sample size  p = 0.31 Population proportion  p^=0.33 Sample…

Q: A Sal error of 0.35 hours. Based on this information, identify each of t average amount of sleep…

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Q: probability that their mean rebuild time is less than 8.9 hours. fthe

A: Given that Mean time taken by a mechanic to re-build the the transmission is 8.4 hours  Mean(μ) =…

Q: Evaluate the upper and lower sums for  f(x) = 2 + sin x ,0<=x <= pie  with n= 2,4, 8…

A: Given: fx=2+sinx, x∈0,π we know that in given domain sinx∈0,1

Q: 3) *It can be shown that the improper integral e* cos xdx : Can we conclude that 2 -- cos n…

A: use integral test for checking convergence.

Q: fCx) = x +sh2X ) critical numbers on 2) abs. max(min on

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Q: 5. Show that another approximation for log n! for large n is log n!=nlog(n)-n by expanding the log…

A: We will use property of log  log(ab) = loga-logb to expand log (n!) and then convert it into…

Q: uce this to evaluate In xdx

A: The general formula for integration of xnlnx is , ∫xnlnx.dx=xn+1.lnx-xn+1n+1n+1+c Now we have to…

Q: Use the tunction below: 3 12 3z/2 What are the amplitude and midline? O Amplitude: 1; midline: y = 1…

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Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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Q: ProveWithoutLopital or Series : eae sin(tan x)-tan(sin x) lim -0 2x cos(tan x)- 2x cos(sin x)+x 5…

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Q: Explain the concept of linear interpolation. Using linear interpolation, find (3) for f(x) - 5*.…

A: It is given that fx=5x. We have to find the interpolation polynomial using the given function. We…

Q: ility that a randomly selected adult from this group has an IQ greater than 138.2 is our decimal…

A: Given: μ=100.6, σ=19.5 The corresponding z-value needed to be computed is:

Q: n+1 (2n)! n=1 W

A: The given series is ∑n=1∞-1n+1n!22n!. Determine whether the series is convergent or divergent as…

Q: 00 Show that sin п- converges. Hint: Use sin x 0. п-1

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Q: A school committee with four members is to be chosen randomly from a group consisting of 6 men and 5…

A: Solution

Q: lity that exactly 43 voted bability that exactly 43 of 181 eligible voters voted is to four decimal…

A: Given n=181 X=43

Q: 2. If the upper and lower sums are used with regularly spaced points to compute de ,how many points…

A: Given:

Q: Finel critical pointof few= un +ln Junt n, also find incred reasing and decreasing funchon given

A: Given function is              f(u)=ueun+lnun+n   ⋯⋯⋯⋯⋯⋯ (1) where n=824 To find the critical point.…

Q: Use Simpson's rule to evaluate da, considering 6 sub intervals. (Approximate your answer to 3…

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Q: A is a point of tangency. What is TN? 16 12

A: Given a circle where A is a point of tangencyy. AT=16 and AN=12

Q: imagine you roll a single standard six-sided die twice. If F: The first roll is odd and S: The…

A: It is given that the event F denotes the first roll is odd and the event S denotes the second roll…

Q: Compute F+1/F correct to eight decimal places for 1 ≤ n ≤ 10. Compare each value to the value of…

A: To compute: Fn+1Fn for 1≤n≤10. and also compare with the golden ratio.

Q: In a certain city, the probability that it rains on any given day is 1/3. Approximate the…

A: Express the mathematical relation for the mean ,variance and standard deviation in central limit…

Q: lower limit: upper limit:

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Q: 100 10 should be compared with which test and series? In=1 O Direct Comparison with E, () 100 Direct…

A: Answer and explanation is given below..

Q: Evaluate the limit limx→0 x2/ ln cos x by series (in your head), by L’Hˆopital’s rule, and by…

A: Consider the given limit as limx→0x2lncosx=02lncos0=00 Limit in the form of 00

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.