A nand om variable x has Sni form distrí butio in the is given ronge [2i6], and the pro bability den sity fra ction below f Lx) = {17 12

Q: 4Evaluatethe Valize ofthe nextintegration byusing the t rapezoidat, vule tren find the absotute…

A: To estimate the integration from (0 to 3π/20) (sin(5x+1))dx by usin trapezoidal rule

Q: (a) Consider the task of approximating e* dr using the Composite Trape- zoidal rule. How large…

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Q: → Compare the expected lenglis of C-I and T Foy Mi- Mz: basud on Take d= 0.05 eg. 20 %3D → Assume…

A: Solution: From the given information,

Q: Suppose f"(x) = N;(h) + a,h +a,h* +azh +- %3D ... When calculatıng N, (h) using Richardson…

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Q: A fair diié is rol Lee I be the tace number showring. Define X by the rule -X =Y if Y is even. 1X=0…

A: Given: Y be the face number on die XY        Y is even0        Y is odd

Q: Use n= 6 and P = 0.75 Complete pAts. Conduct Po kabis Probability wilth Mhe Giuen Parametes a…

A: X~B(n,p) P(X=x)=nxpx(1-p)n-x x=0,1,2,3,....,n n=6, p=0.75

Q: An aiplane's velocity is recorded at 5-min intervals duning a 1-hour period with tme following…

A: We have to find distance travelled by airplane using Simpson's Rule.

Q: Which of the following can the Simpson's rule possess? * Positives Аccuracy O Negatives Zero error

A: Which of the following can the Simpson’s rule possess?a) Negativesb) Accuracyc) Positivesd) Zero…

Q: (b) Evaluate R dx using Simpson's one third rule with 6 intervals

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Q: The population of Douglas fir trees was shown to have an approximately normal diameter distribution…

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Q: 20) use the error formula to estimate the error Pn approzimetiag tue 4 integrel ) (5x+7) d\ with n=4…

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Q: for estimatng f6) interpolating Lec 5.2. Evalte Vpperbound r error ossocialed "with usmą PECW flo)=…

A: To find - Evaluate upper bound for error associated with estimating fα using P3x interpolating fx =…

Q: A track has the shape of a square capped on two opposite sides by semicircles. The length of a side…

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Q: 8. Given: S is the midpoint of RT ; PR = PT Prove: APRS = APTS R

A: solution:- In triangle PRS  and triangle PST We apply SSS criteria to prove both the triangles…

Q: Which of the following is the estimate provided by using Simpson's Rule with four subintervals to…

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Q: The radius of a circle is found to be 7 cm in length with a possible error of no more than 0.04 cm.…

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Q: Given that, S(C) = 2sin( 3t) %3D Find the mean value of f(t) in the interval 0 <t < 5, correct to…

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Q: Estimate the value of S, (1– x – 4r³ + 2x) dx using 4-segment Simpson's 1/3 Rule. O 2146.7 O 2315.9…

A: Numerical integration

Q: Lees.l. Evalvate exaet error f(-s)- Pelis) lhiase us using FI- 0, .5] were polutes yefa>=snx 4 Pz(x)…

A: To find - Evaluate exact error f0.5 - P30.5 using F-π2, 0, π2, π4, 0.5 where P3x interpolates y = fx…

Q: Find [F sec²x dx by using trapezoidal rule, Simpson’'s one third rule, Simpson’s three eight rule…

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Q: 2. Find the absolute error and the percentage relative error in the approximation of p = Tt 22 by p'…

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Q: Suppo_se that the st_rength of a sp_ecific m_aterial has a no_rmal dis_tribution. An eng_ineer  has…

A: GivenMean(x)=3350standard deviation(s)=27.68sample size(n)=12confidence interval = 90%

Q: In  the given question as follows , use Taylor’s Theorem to obtain an upper bound for the error of…

A: Given;                arccos0.15≈π2-0.15 By Taylor's theorem at x=0.15…

Q: Find the average valves of the funce on the qiven intervals: 3. 3 4x+1 gla) =x? E.7 X と

A: We have to find average value function

Q: 3. Compute the absolute error in approximations of p by p*, where p = t, p* = 22/7 Select one: a.…

A: Exact value of  p = π = 3.141592653 Given approximated value is  P*  = 22/7 = 3.14285714

Q: From = 1₁0° 7/7 (1²57) ² eXP [177] ₁ exp[7]. dE, by evaluating the integral. (E) = show that the…

A: What is Gamma Function: In many applied parts of mathematics, gamma function is widely applicable.…

Q: Estimate the value of ₂ (1 − x − 4x³ + 2x³) dx using 4-segment Simpson's 1/3 Rule. 2146.7 O 1563.2…

A: To find: ∫-241-x-4x3+2x5dx using 4-segment Simpson's 13 rule.

Q: The article “Can We Really Walk Straight?” (Amer. J.of Physical Anthropology, 1992: 19–27) reported…

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Q: The average diameter of ball bearings of a certain type is supposed to be 0.5 inch. What conclusion…

A: a) H0: μ = 0.5 versus Ha: μ ≠ 0.5 inch It is known that two-tailed test, n= 11, t = 1.8, and α =…

Q: Let X be a random vuniable with PAF FlnS= %3D otherwise s Find the constunt c J Find ECH and Vor (xS

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Q: A large family-held department store had the busness objective of improvng ts response lo complaints…

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Q: When the R formula does not give the goodness of fit measure? Suggest a more reliable R measure…

A: Two common measures of how well a model fits data are R2(the coefficient of determination) and the…

Q: Of 500 randomly selected football players at the university of Jordan, 200 players ordered medium…

A: We have to find sample size required.

Q: of their 16. Which of the following is(are) TRUE? * 1. PIX<266] = 0.50 II. The shape of the…

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Q: se the Second Partrals test to fnd all relative extremes and Saddle ponts of the feretfen. SATSN…

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Q: 1. Approximate the values of JJ(2 – |xyl) dA where R (-1,3] × [–2, 4] using m = 2 and %3D R n = 3…

A: To approximate value of ∬R2-xydA where R=-1,3×-2,4 Given values of m and n are 2 and 3 respectively.…

Q: Assume a significance level of α= 0.05 and use the given information to complete parts (a) and (b)…

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Q: ind the area under the normal curve to the left of zequals=negative 1.54−1.54 plus the area under…

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Q: 2) Colulate the absolute uncertainty for each of the measured quantities listed belou Jairen the…

A: Given measured value and relative uncertainty as shown belowQuantity NameValueRelative…

Q: (40) Suppose n = interval [0.7, 1.3] is 144 and o? = 12. The value of a, corresponding to the…

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Q: 7. Calculate the % approximate error relative to the true value of the area of a trapezoidal lot…

A: The dimensions of the actual trapezoid are: a=10m, b=22m, h=10m Area of a trapezoid with a and b as…

Q: 3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by:…

A: As per the guidelines I'm able to give you only one answer because this question is not a…

Q: is st L- and at most U - 280 Select an answerY In the interval. Select an answer the hypothesis.

A: *Answer:

Q: S.The folluning are the number of houn nhich 12 studena ipent in studying far a mdi and the grudes…

A: Let us denote X as the number of hours studied and Y as the midterm grades. X Y 5 50 6 60…

Q: Compute F using, Simpson's 1/3 and Simpson's 3/8 rules and composite trapezoidal rule (for 6…

A: The integral is F=∫030250z6+ze-z10dz. Six points are x 5 10 15 20 25 30 fx=250x6+xe-x10 68.92…

Q: Use the Simpson's 1/3 rule with n = 8 to estimate: cosx

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Q: When a = .10, what is the rejection region that should be used to test Ho:o? = 0} %3D against Assume…

A: Solution-: Given: α=0.10, v1=df1=10, v2=df2=12 H0:σ12=σ22      Vs   H1:σ12&gt;σ22   (Right tailed or…

Q: Tn this oroblem, assume that the dntribution of differences is approimately normal. Note: For…

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Q: Based on the following knowledge base in conjunctive normal form, prove "w" using resolution. 1. ar…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Ex Lat X, Xz and Xg be ,a sample fom Berneilli disteribitión. Assume the statis Gis thz イニメ,+ベ2+メ3…

A: