Let X be the number of points dropped on the correct die, then the correct coin is thrown X times, Y the number of tails dropped.  To find а) P(Y=2, X=2) b) P(Y=1, X ≤ 2)

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A: given

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A: In triangle DEF, m∠D=31° and an exterior angle at vertex F has a measure of 96°

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A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

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A:

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A: We use basic inverse trigonometric identity.

Q: O REDMI NOTE 9S Solve the disserential equat ilon with disscussion of Soluiton? x4-y=4²XLincx) %3D

A: Given differential equation is xy'-y=y2×lnx.

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A:

Q: Find the distance between the following skew lines  x/2 =y−46, z=0 x-1/2 = y/2 =z+3

A:

Q: Prove that the are length af Curve y = leg secx from N =0 to 3 is leg ta+ 45) .

A: The formula of arc length is given below:

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Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

A:

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

A:

Q: 2)Evaluate exdA ,Ris bounded by y = x² ,y = 1

A: By using Fubini's theorem we solve the given problem.

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A:

Q: 1. Carefully prove the theorem: The sum of the distances from any interior point P to the sides of…

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A:

Q: Assume that a cell is a sphere with radius  or 0.001 centimeter, and that a cell’s density is 1.1…

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Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

A:

Q: A real estate company wants to build a parking lot along the side of one of its buildings using 500…

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Q: Encuentre la solución de las siguientes ecuaciones diferenciales: y"+5y'- y =e' –1, y(0)=1, y'(0)=1

A: In the question it is asked to solve the differential equation y''+5y'-y=et-1 with initial…

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A: Given, m∠QRS=(7x+8)°m∠RPQ=(x+12)°m∠PQR=(3x+20)°

Q: When using Simpson's rule we must having two distinct point Select one: O True O False

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Q: the trapezoiclal rule to calculate (2x+3) ck using just one Compane with amalytical answer?

A: ∫ab f(n) dxh = b-ann for n division of interval (ab)here n =1 h = (b-a)  the trapezoid rule for…

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A: Given triangle ABC,

Q: 1. After the side JK is extended, what is the next step in constructing the orthocenter in AJKL?

A:

Q: Two angles are supplementary if their sum is 180°. If oneangle measures x°, express the measure of…

A: Given equation is 6-2x+8=10  14-2x=10      (combine like terms)  -14+14-2x=-14+10   (Subtract 14 to…

Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where…

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A:

Q: When using Simpson's rule we must having two distinct point Select one: True False

A:

Q: Find the solution of the differenhal equahon not Sothsfes the given inital condiion dP at

A: Given.The differential equation is

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A: Given range is between 5.5×106yards    and    7.2×106yards

Q: 6. After the side JK is extended, what is the next step in constructing the orthocenter in AJKL? K

A: After the side JK is extended next step is:-

Q: obtain the value of b. regaring e conomethies and the forme 4= bo t bi Xi Y=bot bixitei

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A: Given that in ∆XYZ,∠X=37∘and ∠Y=53∘.We have to show what type of triangle is ∆XYZ. (a) Scalene…

Q: Use Trafezoidal and Simpson's rule 9.6 to evaluate n=6 4hich rule gives Closer answer to the exact…

A:

Q: Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a…

A: It is given that the length of two sides of a triangle is a and b, respectively. It is known that…

Q: 2. For rectangle PLNE, MLPLE = 5x + 2 and mzNLE = 3x. Determine the value of x, mzPLE, and mNLE. %3D…

A:

Q: Tis the midpoint of RV Prove: ARST ATUV

A:

Q: 9 Find the lies which degion bounded and area in in first eyuadrant 12-axis by Jine V= n=770 Give…

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Q: 3. Find the radius of this circle. 5 4 3- -2 -8 -7 -6 -5 -4 -3 -2 -1 0 O 2/2 O 3v2 O 6V5 O v?

A: Option (d) ✓2 is correct.

Q: Suppose you wind a thread on a pool of 1 cm. Points K, L, M, N, and so on until S are marked on the…

A: We have to find the length of thread in terms of π.

Q: 2) Evaluate yzdx+ xzdy + xydz where c is the line segment from (1,1,1) to (3,2, 0).

A: Given: c is a line segment joining 1, 1, 1 and 3, 2, 0. To evaluate: ∫cyzdx+xzdy+xydz