8. If APQR ~ ATSR, find SR. S 2х - 1 P- 60 T R 4х - 26 38

Q: QO, k) P 0(0, 0) R(h, 0)

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Q: -5 dw 4) \a w+1

A: Given integral is: I=∫-3-5dww+1

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: 3. AFUZ AYES. mZS = 34°, m/Y = 72°. %3D Find mZU.

A: Please rate and feel free to ask any query about any part of the question, thanks.  Please ask only…

Q: In AXYZ, mZY=76°, XY= 10, and XZ=11. To the nearest tenth, what is mZ? mZZ= (Do not round

A: Given XY = 10,  To find angle z in triangle XYZ

Q: Find the value of sec A. A 5 3 C ( А. О в. О с. 4 5 4 513 415 315 В

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Q: R S T 54°

A: Concept used : SUM OF ALL THE ANGLES MADE AT A POINT OF A LINE IS 180°.

Q: In Problem ,find an equation of the line L.

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Q: 2 4 Ayz x = By + Cz' ||

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Q: find deriva tve fla)= (e^+フス?) 3 ,2 -2 X -4メ ² + 5x +12)

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Q: 14. If mWVX = (13x + 9)° and m WXZ = (5x + 36)°, find mZWXY. %3D

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

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Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: 10. U V Y

A: 10)  The given triangles are congruent.   SAS Theorem: If two sides and the included angle of a…

Q: 2. If OR = 58 and PQ = 13, find PR. %3D

A: Since Q2 is asked and required Information about  Q2 is given. Answering the Q2

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Q: 11- y" - y' = e* + e* +x?

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Q: | (3e" + 4 sec? u) da

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Q: y y' = x=2, y =4 x+ Vxy

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Q: John give 2/3 of pencils,p,to Roy and then gives 1/4 of the pencils t he has left to Maria. In terms…

A: We have to find In terms of p,how many pencils does John now have...

Q: 9. Solve for x and y that make the lines parallel. 10. Fis mc

A: Let ∠1=x-4, ∠2=2x, ∠3=30, ∠4=5y

Q: 25. y = 5 cot r²

A: Please see the answer in Step 2

Q: If m<DAX = 70. find the measure of <XAB.

A: The given figure is as shown below : We can see, m∠DAB=90°

Q: dz Evaluate V9z? – 25

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Q: Solve the following IBVP: Utt = 4uzz 0 0, u, (0, t) = u,(27, t) = 0, t>0, u(x,0) = 0, 0<I< 2n, T.…

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Q: c. r(t) = /16 - 4912 i+ 7tj. - sts

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Q: what the points) the tonget line is Perpendicubr to X +y=5 -1 to the grephy=tonc4x

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Q: Answer j, k, l

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A: Given: mXW⏜=60, mWZ⏜=70, and mZY⏜=70.

Q: e forward-dif ckward-differ

A: The values of x and fx are given in the table . To determine the derivative of the each value of x,…

Q: If b varies jointly with a and c and b =112 when a = 12 and c=7, find a when b=72 and c= 2. %3D

A: Given : b varies jointly with a and c. When a=12 then b=112 and c=7

Q: 3. If 66p (r+6) 30800:1 cr+3) find y.?

A: In given question, concept of permutation is used. Permutation The act of arranging all the elements…

Q: d (2t3 + 3t – 1)dt = dt 12. А. 58 В. 50 С. 62 D. 48

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Q: 14) Find mzYIJ if mZHIY = 28°, %3D MZYIJ = 139x + 1, and mZHIJ= 168x. %3D Y

A: Given : m∠HIY = 28°m ∠YIJ = 139x + 1m∠HIJ = 168x

Q: John give 2/3 of his pencils, P, to Roy and then gives 1/4 of the pencils t he has left to Maria. In…

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Q: - If LK = MK , LK = 7x – 10, KN = x + 3, MN = 9x - 11, and KJ= 28, find LJ. M K

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Q: If S(r) = 4r and D(t) = 2t + 5, find (S D)(1). %3D

A: Given:S(t)=4πr2D(t)=2t+5 To find: (S∘D)(t)

Q: 10. If z = 2 i, find z6. 2 A. i В. —i С. 1 D. –1 6 cis 90° 11. If z = find |7]. 2 cis 45° А. 4 В. 2…

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Q: re of X = 84. Would you prel = = 10? (Hint: he location of

A: Note: Since you have posted multiple questions, we will solve the first three for you. To get the…

Q: 5. If A HBN ~A LYR, find the value of x. R x +11 Y 21 L. 3x - 7 28

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Q: 7. If WX= 14 and WR = 8, find RZ. W Y R:

A: We use pythagorus theorem for right triangle to find the side XR and it can be seen that RZ=XR

Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: Suppose z varies directly with y and directly with the cube of x. If z = 1536 when x = 4 and y ,…

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Q: 4. Reflect across the line y=x. M

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Q: 2. If a b. C. d. csc 0-- -√√9+k² k -√√9-K² k -k √√9+k² -k √9-1² for in standard position, then coté…

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Q: A. ($4.31, $7.93) with xt B. ($4.27, $7.78) with xỉ = 19.286 and x = 64.181 C. ($1.82, $3.34) with…

A: Confidence interval for Standard deviation is given by:

Q: 23. Find the shortest distance between the following lines. 9 y – 9 - l1 : -14 -1 3 4 y +2 l2: 8. z…

A: Given: The lines are: l1: x-9-14=y-9-1=z3    -1l2: x-48=y+24=z-10  -2 Let P and Q be two points on…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.