A weatherman stated that the average temperature during july in a certain city is less than 40 degrees. the correct hypothesis is H0 μ240, Η, μ< 40 Select one: O True O False

Q: tind the Value of d that makes the systom has (2) uniqe Sdubion. 3X-2y= (b) No . Solation X+Xy = 2…

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Q: The approximation of 1 = f(x + 1)e** dx using composite Simpson's rule with n = 4 is: O None of the…

A: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1where Δ x = b-an, n is evenApply Simpson's…

Q: The DE : y'= e 5x-7y is seperable Select one: O True False

A: We have cheek

Q: dz If z = x² y', x = 3, y = t then =? dt Select one: O 613 + 312 O 1 O 2712 O None of them

A:

Q: The DE : y' = e>x-7V is seperable Select one: O True O False

A: Try to separate the variables if it is possible than given DE is separable.

Q: To evaluate the integral dz, we substitute z 4 tan 0. 22 + 16 Select one: a. None of these b. False…

A:

Q: While evaluating the approximate value of 1' dr, using Trapezoidal rule, taking h = 0.5, the N is =.…

A: Use formula for N

Q: Find the critical value, te for c = 0.99 and n= 10. O A. 3.169 B. 2.262 Oc. 3.250 D. 1.833

A: According to the given information, we have Sample size, n = 10 and c = 0.99

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: Find the general solution of the given variable separable egm atim. dy *+ ay? (2) %3D

A: Given :dydx=e3x2+4y2

Q: (a) Change the order of integration and hence evaluate o SA ²(ry)dydx.

A:

Q: eln (R/c) secx - sec?x)" sec(34 – x) "du?? dx to be integrable using the formula What should be the…

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Q: みm 'cU24onba buimoll ut anos Give answers occurate to o tu100yら19 SONe the foilowing tigures 6.8=…

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Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the…

A: we have to find the value of A.

Q: Suppose a certain population of bats can be modeled by the DE 3 y = ry? (1 M - y(0) In(7) where r =…

A: concept: If solution curve is y = f(x), then for point of inflection double derivative of given…

Q: The heat capacity of a gas is tabulated at series of temperatures: TCO 20 50 80 110 Cp J/mol.C 28.95…

A: We have to calculate the values of heat capacity corresponding to 28 C° and 93 C° using the newton…

Q: Pro ve that firction is analyNC e +2+1 for every Res >O

A: Calculate the limit: lim∆z→0fz+∆z-fz∆z=lim∆z→0∫0∞e-tz+∆zt2+1dt-∫0∞e-tzt2+1dt∆z…

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = , find the…

A: Solution is given below:

Q: The work W (in N • m) in winding up a 60-m cable is W = (1600 – 7x)dx. Evaluate W.

A: The given integral is ∫0601600-7xdx

Q: By using Trapezoidal rule, the value of "h" in evaluating ((x² – 2x +1)dx, by taking 8 subintervals…

A: The value of h to evaluate the integral  is 0.25 option (a) is true.

Q: Show that F(n fla)] ds pleae do it frast

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Q: : Scot y dy

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Q: 3. Find x in ДPOR. R 12 О 13 О 15 О 16 O v60

A: We have to find value of x

Q: The 300-lb block shown in the figure is kept from sliding down the inclined plane by friction and a…

A:

Q: -> Ô https://www.webassign.net/web/Student/Assignment-Responses/last?dep=27886659 Insert =, as…

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Q: en Gx) show that GCxx) = to is a t Slution to x y" + Cy')a = c

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Q: If f = t" – a E F[t] is irreducible, u e K is a root of f, and n/m e Z, show that |F(um): F|| n What…

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Q: In Romberg integration, R44 is of order: O 8

A: Solution

Q: 1. Find the saution YLEA oR Ele tntifial Value poobem y"-8y'+16y=8e*, yr0)=3,4'101=2,

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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: The approximation of J, x+4 1 -dx by the composite Trapezoidal Rule with n=2 is O 0.30833 O 0.40833…

A: To approximate the given definite integral by the composite trapezoidal rule with n=2.

Q: With the form of parhal frachun deomposition: A Bxt C A=1 (x-1)(x¥4) x-1 メー メ44 01 Evaluake x²+x+8…

A: The given integral is: I=∫x2+x+8(x-1)x2+9dx

Q: The volume of a square pyramid is related to the length a side of the base s and the height h by the…

A: For a square pyramid, length of side of the base is s and the height h, Volume is V=13s2h

Q: O A) 1.290 by taking n= 2 using Simpson's 1/3 Method? Which of the following is the solution of the…

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Q: Given y = Va In æ , what is dy dr In z+2 In z+y7 dy dr dy dr In z-2 dy In z-I dr ||

A: Given,

Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

A:

Q: What is r' (x) when r(x) = In ? Select the correct answer below: O Pu) = - Sr+1 O rw = - Sr+1 x) = !…

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Q: Find the critical value, te, for c= 0.95 and n = 16. O A. 2.131 O B. 2.947 O C. 2.602 O D. 2.120

A: The degrees of freedom is, df=n-1=16-1=15 Computation of critical value: The critical value of…

Q: Given the following DE: d3x а. dt3 d²x + 2x + a = 0 - dt2 d²t. +t+t = b dt `dz2- dz (a²y' dy + \dx².…

A: Basic difference between degree and order of the Differential equation is :-  Degree is the highest…

Q: The value of the double integral 32 dæ dy is O- 1536 O 1536 O 3072 -3072

A:

Q: A roctangular tonk uith a cauaro boco and a volumo of 2.016 e3 dimoncions of tho tank that hac 1o…

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Q: ht mLE)<o. o show fon My f, gn-",g fon Jn Mg fog that O Is m(El <a∞ necessary?

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Q: t DR) dende Dartine dövßes e te than show that Deo) X DR1) to DG20). o is atoxphic

A: To show D20×D21 is isomorphic to D420: Define a map f:D20×D21→D420 by fa,b=a×b a×b∈D420: Suppose a…

Q: E valuate the Following Integral 2+7sin z z 2. COS Z

A:

Q: With integration by parts, J udv · Judv = UV - O True O False

A: Solve the following problem

Q: The value of the triple integral (x² + y²)dV where E is the E portion of x² + y² + z² = 4 with 0 ≤ y…

A:

Q: A bar with insulated en ds Find boun dary the solution to the Value Problem for one-dimensional heat…

A:

Q: The table shows two cylindrical-shaped containers that store gelatin. Container 1 Container 2 5cm 6…

A:

Q: While evaluating the approximate value of 2 dz, using Trapezoidal rule, taking h = 0.5, the value of…

A: As we know that the expression for the step size is:   h=b-aN   Where,   b=upper limit. a=lower…

Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.