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Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: 1. In cirde P, if mQR = 110', mRS = 94', and m/QRT = 27' , find each measure. %3D d) MZTRS = e)…

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Q: Under what conditions on u and v is II u + vII m = llull m + llvll m? Explain your answer.

A:

Q: Given P(A) = 0.53, PLB) = 0.34, and the fact that e vents A and B are independont wha t is PlA and…

A: According to the given information, we have P(A) = 0.53 P(B) = 0.34 Events A and B are independent.

Q: ** = - knlu) + c =) then 4 y = heme Cis mte rton const art.

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Q: If w = e-(r*+s"), r = uv, s = u + 2v, find -

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Q: If RU = 23, what is ST? V R U ST =

A: Given;         RU=23 In ∆VTS and ∆VUR   VU=UT GivenVR=RS Given∠A=∠A commonSo, ∆VTS≅∆VUR SAS…

Q: Given that n(S) = 44, n(A) = 15, n(ANB) = 7, and n(A u B) = 24, then n(B) = %3D %3D %3D

A: Probability is defined as a number between 0 and 1 representing the likelihood of an event…

Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: If AMNO APQR, which of the following can you NOT conclude as being true? A) MN PR B) ZM ZP NO QR ZN…

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Q: If QR = 15 and PT = 10, find QT. %3D R QT =

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Q: e since), yo)=0, yco) = | %3D

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Q: Let Z = min[X, Y]. P[Z <= 5] ? E[Z] ? P[X < Y]?

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Q: 3. Given: WXZ ZYXZ W Conclusion: ?

A: 3) Given: ∠WXZ≅∠YXZ     To find: Conclusion and reason

Q: Evaluate SIL. dydzdke, where E = {(x,y,z): (2+z12<x< 2, - (4 - z)2sy <(4 -2)12, 3<z 58}.

A: Given: The given integral is ∫∫∫Rdydzdx The given intervals are (y2+x2)12≤x≤2, -(4-z2)12≤y≤(4-z2)12,…

Q: What is the degree of this DE? * dy 4 O 6 . O 2 O 1

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Q: that cit gre any vect u+vis Cull + || VIl) and hence when does equalit u and v are vectos 2

A: Cauchy Schwarz Inequality: Let v and u are two vectors in a vector space V, then the inequality…

Q: 1. If OR LPQ at S, m<P=30 and PO=15cm, find PQ. 2. If OR PQ at S, m-Q= 60 and OQ= 7cm, find PQ. 3.…

A: A circle is given as shown below: We have to solve: (1) If OR⊥PQ at S, m∠P=30° and PO=15 cm, find…

Q: If arg (z) < 0, then arg (-z) – arg * (z) equal to

A: Use the concept of arguments and representation of complex number in polar form.

Q: Which statement proves that ry? a b. 1/2 3/4 5/6 7/8 y 9/10 11/12 13/14 15/16 O 22 is supplementary…

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Q: For Q on the line l and P not on l,   dist(?,l)=??⇒??⊥l.

A: Given: For Q on the line l and P not on ldistP,l=PQ⇒PQ⊥l. To Determine: Whether the given statement…

Q: 4. mLMOР 3 (12х + 6)°, mzMOT%3D 26°, and m2TOP %3D (7х + 25)°. Find mzMOР. of T. M

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Q: The SUstolic bloo an approxi matelu lo and 12o M- Bif a Male . but that he पी Maan Wald

A: The z score can be calculated as follows:   Given: (a) Substitute the given values to find the…

Q: if a2+aEccR; Fos all fiso:e that aER, Ris camutative. then

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Q: #1 a . a = b = yo 112 y%3= 12 Students, write your response! Pear Deck Int

A: The figure in the image is a parallelogram. So, it has three properties : (1) the opposite sides are…

Q: Given that DE = 20.8, DG = 36.4, and EG = 36.4, then EF %3D %3D D.

A: Given : DE = 20.8DG = 36.4EG = 36.4m∠EFG = 90°

Q: 5. If PQ = 4 and PN = 2, find MN. 6. If PQ = 8 and MN= 3PN, find PM. %3D 24

A: Topic:- circle and it' property

Q: Given: If X, then T. If Y, then Z. Y is true. So:

A: Given that If X, then T.   This implies that the statement T is true whenever the statement X is…

Q: Given: DE FB, AE FC, AE L DB, CFL DB Prove:AABD A CDB

A: Prove by SAS

Q: If p : X E M(n x n, R) + tr(X), what can we say about det (exp(X))?

A:

Q: Use the figure below and the given information to delermine itlmes mara Nparalel Fogare not drawn to…

A: We know that if 2 corresponding angles are equal then corresponding lines are also equal  i.e. to…

Q: Q ssosiee ※ dy nolaeV DOY MEMedua s x24

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Q: A B Y Given that YIB and ZIB, what conclusion can be made?

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Q: 7) If DE = 4, DA = 1 and AB = 6, find CD. %3D C A

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Q: BE BT If TN BU 4. then TU || NE. UE N° E

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Q: Given: r || s, s || t 4. Prove: 17 97 10 7. 8. 11 12

A: Given, r∥s , s∥tthenr∥s∥t To prove &lt;6 = &lt;7

Q: 1. Which side is needed to prove that ARAG E ACML? G C R M.

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Q: fA is smilar bo A" then all e isenualues oPA mush

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Q: Prove that A ADE Q v If AD= DB D. 11 above, DE ll BC 19 つ A ABC C Prove it is つ8 puy 70 bop

A: (a) To prove ∆ADE~∆ABC

Q: If ST SV, MSUT = w + 10°, and mZSUV = 3w, %3D V What is the m<SUT?

A: Given- ST≅SV , m∠SUT=w+10∘ , m∠SUV=3wTo find -m∠SUT

Q: J. Atter a vise of 72, a peson's jary $507.15 4ow vAeng much did fe earn before fhe nCreOse?

A: Rise in the salary is 712% or 7.5%. Let the initial salary be x. If the salary x increases by 7.5%,…

Q: A. True or False. Use the accompanying figure and information. AC = CE,BE = AD, m¿BEA> MLDAE в D E…

A: As per our guidelines we will only answer question number 1,2 and 3 in the following step. If you…

Q: Show that if Y = ax+ b (a ≠ O),then Corr(X, Y) =+1or -1. Under what conditions will p =+1?

A: Assume that X has has nonzero variance, since otherwise the correlation coefficient would be 0,…

Q: Complete the proof that mLSUV + MZYXZ = 180°. V W Y Statement Reason TV | WY Given 1 ZYXZ ZVUX MZSUV…

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Q: M N. Mandy has the two triangular pieces of cloth pictured above. If A LMN A PRQ, which statement…

A: Give that triangles are similar. We can use SSS property to prove similar triangles.

Q: If c+di 7 + 4 i 2 + i find √2c-dir C, DER

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Q: Given Jao ao = = 9, a₁ = 36 a1 an+2 = 7an+1 Show that Vn N, n ≥ 1 10an, 20 an=3.2 +6.5n

A: