QP 2 11 T 3. 4 S 5) Use parts (b) and (c) in Example 4 and the SSS Congruence Postulate to give a different proof that AQPS APOR.

Q: prove if P>-l then Citp = I+np %3D n€ IN

A: The given statement is not TRUE. Counter example is taking n = 2.

Q: b) Prove Y)- min (t, Ye, Kg) is a UMVUE of o non

A:

Q: 36:- find the chanactuiske egpation the gymmteicmatox Aに ー1 2 -1 2. A and hence otstain A ond Verify…

A: The given matrix is  A=2-11-12-11-12 Finding the characteristic polynomial of the given matrix…

Q: Example 2 Using the SAS Congruence Postulate Prove that ASYT = AWYX. Statements Reasons 1. TY = SY =…

A:

Q: Construct the vectoe 1.6a + 1.3 b having initial point P

A: To find - Construct the vector 1.6 a + 1.3 b having initial point P.

Q: 2. Proofs 1. Prove the following statement. Ve >1 3d 21 Vx > d : c< 3x.

A: Introduction: A grouping of objects. The set's specific objects are referred to as its elements or…

Q: 12. In ALMN and ARST, 2MNL E 4 STR and MN ST. What additional congruence is needed to prove that…

A:

Q: 17. Find a, b, c in Q such that (1+ V4)\(2 – V2) = a + bV2 +cV4 Note that such a, b, c exist, since…

A:

Q: Complete the congruence statement. AJKL =A_ by J K M.

A: Congruency of Triangles: Two triangles are said to be congruent if they follow the following…

Q: Write a paragraph proof. 15. Given: ZNOM = LPOR, NM 1 MR PRI MR, NM = PR Prove: MO OR N M 'R

A: Answer

Q: 7. In ABCD, AC and BD divide each other in half at E. (a) Prove that ZDBC ZBDA. (b) Prove that ADBC…

A:

Q: 2. Which piece of information is necessary to use the SSS Congruence Postulate to prove that ATRY Y…

A: Which piece of information is necessary to use the SSS Congruence Postulate to prove that ΔTRY≅ΔCAP,…

Q: 8. Given: JK = LM, ZJKM = ZLMK J L. Prove: AJMK = ALKM N. M Statements Reasons 1. 1. 2. 2. 3. 3. 4.…

A:

Q: Exercise 2.5 Prove that if m" (AAB) = 0, then m* (A) = m* (B). Hint Note that AC BU(AAB).

A:

Q: 2. Suppose A is an m x n matrir, x ɛ Rª and Ax = b. Then b is in 1) R" | 2) R™ 3) RmfnT 4) R™n

A: Given :  A is an mxn matrix , x∈Rn and Ax=b   To find :  b is in which space of the given spaces.

Q: is a conplex saries of nunbers and for VNEN monert an, bn ER Let 2n- an +ibn. Show that if Ź 2n =…

A: Given:  ∑n=1∞zn is a complex series of numbers and  ∀n∈ℕ, an , bn∈ℝ Let zn= an+i bn To show that :…

Q: (3) OSJ A traffic Control engineer reports that 75% of the Vehicles Passing through a check Point…

A: As per guidelines expert have to answer first q question only.

Q: O Find the general solution of the differentlal equatton. %3D of the given answerß none cly-21" %3D

A:

Q: 5. Prove that if A and B are similar then dim(ker(A)) = dim(ker(B)).

A: We have to prove dim(ker(A)) = dim(ker(B)).

Q: 6. Consider the following figure and proof. Given: RM || SN, RM 1 MS, SN 1 NT, Prove: ARSM~ASTN M T.

A:

Q: 3. Suppose AB=RS and mzB = mzS. What other information is needed to prove that AABC = ARST by SAS?…

A:

Q: K is the midpolnt of GI and HI | GJ. Complete the proof that AHIK E AJGK.

A: Given,            K is the midpoint of GI¯ and HI¯ ∥ GJ¯

Q: 3) Use the Second Principle of Finite I nduction to establish that for all nz I o"-1= (a-1) Co to ta…

A:

Q: 11. Given: ZN = ZP; ZMQN = ZQMP Prove: AQPM = AMNQ Statements Reasons

A: Solution is given below:

Q: 7) Write a proof for the following: Given: QRESR ST = QT %3D Prove: AQRTEASRT Q

A: QR ¯ ≅ SR ¯ ST¯ ≅ QT ¯

Q: Q. 8. In Fig. 8.7, PQ || AB and PR || AC. Prove that QR || BC. B

A:

Q: 1 6 [: 2. Let %3D matnix c (by tnial and erron) Constauct a C (by tnial and eror using anly !,-1 and…

A:

Q: PJ Prove that the trape z0: dal formula is go are a Az Ih( bit be) 2 bz

A:

Q: #3. Let n be an mteg er with nz1 and Let b., bzba be ... positive real nmmbers, not all egual, such…

A:

Q: 7. Consider the following figure and proof. A K C B. L. Given: A bisects JK, C bisects KL, B bisects…

A:

Q: 4. Prove: AL = CM C Key steps of proof: a. AABD = ACDB b. AD = CB; Z1 = Z 2 c. AADL = ACBM M A B. d.…

A: Consider the given figure: Here: AB≅CD……1∠ABD=∠CDB……2∠LAD=∠MCB……3   To prove: AL≅CM

Q: 2. Which congruence postulate should be used to prove AABE = AOCDA if EB = AD and mZADC = 90°? A B C…

A:

Q: 1. Create a paragraph proof. Given: ZWVX = LYXV ZYVX ZWXV Prove: AVXY = AXVW V

A:

Q: B E D Suppose AB= AE. Can you use the SSS Postulate or the SAS Postulate to prove AABC = AAED?

A:

Q: Prove the following existence proof. P: 3a, y, z E N such that ryz = 24

A: Existence proof

Q: Use an indirect proof to complete the following proof. M. Given: AMNQ with N mZN = 120° Prove: ZM…

A: Consider the provided information, ∠N=120° We know that, If sum of two angle is equal to 90 degree…

Q: 3=the demmand fumetion forx umits of on item is givem by the functio P= 70-0.07x. what is the…

A:

Q: 9. Prove or disprove. (a) Vn e Z*, n² < 2". (b) Vm e Z, if m is odd, then m² is odd.

A: In this question we have prove if this equation are valid or not.

Q: enoitetimil torte stigasb = 4", where m, neN. 10. Prove the identity: 3 r=0 itong s

A:

Q: Consider the figure below. I PM = PN and LMPQ = LNPQ which trlangle congruency postulate can we use…

A:

Q: 7. Consider the following figure and proof. E A Given: RE = 2AR and RT = 2GR %3D Prove: AGAR~ATER

A: RE=2AR RT=2GR

Q: 6. Consider the following figure and proof. R Given: RM || SN, RM 1 MS, SN1 NT, Prove: ARSM~ASTN M…

A: AA similarity : In two triangles, if two pairs of corresponding angles are congruent, then the…

Q: 5. Given: NO bisects 4MNO. ZMPQ LOPQ D. Prove: ANMP ANOP Proof: Statement Reason 1. 1. 2. 2. 3. 3.…

A:

Q: State the third congruence that is needed to prove that ADEF = AQRT using the ASA Congruence…

A: To state the third congruence condition that is needed to prove that ∆DEF≅∆QRT by using ASA…

Q: 9. Write a two-column proof. Given: MQ = NP, MP = NQ Prove: AMPQ = ANQP M N Statements Reasons 1. MO…

A: Answer is given below

Q: 5. Given: MR O0 LM Prove: AMNR AONQ Proof: Statement Reason 1. ZM 0 1. 2. 2. 3. 3.

A:

Q: 5. Let A z 3 4 87 8- ーん Prore that find ite diogonel form. A it diaganalianllen and

A:

Q: QR I RS and UV 1 TÚ. Construct a proof that ZQRS = ZTUV.

A: First, we sketch the situation roughly  We have to prove:

Q: 15. Given: PR||QS, ZQPS ZRSP Proof #7 Prove: APQSEASRP sons Statements 1. PRIQS 2. ZQPS=ZRSP 3.…

A: Given that,      1. PR is parallel to QS      2. ?QPS  ≈ ?RSP And now, 3. ?PSQ ≈ ?SPR, because…

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.