Given ā = i +j– 2k , b = 3i – 2j+k and č = j– 5k , Find: a. āxb b. ā•(b ×c) c. proj.č - || d. The angle between b and ċ

Q: Use the formula (i + j + k )(i)=1 to find the angle between the diagonal of a cube and one of its…

A: Given: Given :  (i + j + k )(i)=1

Q: . If OT is the perpendicular bisector of PR, find each measure. Sy- 31 y = 6x-2y PQ = 2y +5 QR = %3D…

A: From figure PS=SR 4x+ 4 = 7x-17 7x- 4x = 17 + 4 3x = 21 X= 7   Consider triangle PTQ and RTQ PT =RT…

Q: 2. In the diagram, PQ is parallel to AC. Given that BQ 4 cm, BC 10 cm and area of ABPQ = 8 cm2, %3D…

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Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VWIIF XY = 54 -…

A: Since ,   X & Y are midpointsof UV¯  & VW¯  respectivelythen XY = 12UW

Q: In the figure, KJ and KM are opposite rays, and KN bisects ZJKL. If mzJKN = 8x – 13, and mzNKL = 6x…

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Q: apie Given that i? =-L, Cut2i)?= Q %3D True or false why?

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Q: The angle of depression from the girl to the car is: 2 4 A) Z1 B) 22 C) 23 D) 24 A O OO 0O B.

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Q: If 0 is the angle between the planes x - y+2z 1 and 2x +y+ z = 4, then tan (0) %3D а. 3 b. 2 с. 14…

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Q: Use the Angle-Side Relationship Theorem and the figure below to order the side lengths from shortest…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: D P• 1. Secants AC and CD intersect OP at B and E as shown. If AC = 16, CB = 6, and CE = 4, find CD.…

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Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

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Q: let U =5i +12 j and V= -4ij and find the follawing. what is the angle between D and V to the a…

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Q: Find the measure of Angle G. (3y + 9)° J K (x +21) 2x° (4y- 11)° G H.

A: find the measure of angle G

Q: 39. ZJ and ZM are base angles of isosceles trapezoid JKLM. If mLJ 20x+ 9, and mZM = 14x + 15, find…

A: Q.39)

Q: Given AABC with mz B = 62° and side AC extended to D, as shown belc %3D 62 A C Which value of x…

A: We given with the triangle with the condition AB is congruent to CB and angle B is 62°

Q: 8) Given that ZLMN is a straight angle, find MZLMP and MZPMN. PT (8x - 6)° (1Ox – 12)°

A: Topic = Geometry Supplementary angles are two angles whose measures add up to 180°.

Q: Given a right ALHT with right angle at H, then mLT 30° and LT 18cm, 8. Find LH. %3D а. 9 ст b. 9/3…

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 100, ||v|| = 230, 0 6

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Q: The diagonals of rectangle QRST intersect at P. Given that m/PTS = 34° and QS = 10 , find RP. %3D…

A: We are given with diagonals in a rectangle and measure of the side and the angle of the diagonal and…

Q: Find u v, where 0 is the angle between u and v. ||u|| = 70, ||v || = 200, e =

A: We have to evaluate u.v  Using formula U.V =||U|| ||V|| cos (theta)

Q: W and T are the midpoints of the legs, RV and SU, of trapezoid RSUV. If UV = 41 and TW = 66, what is…

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Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v|| = 14, 0 = - 3

A: This problem can be solved by directly putting given values in the formula for the dot (or scalar)…

Q: .T 49 14 M U V. 8 28 Determine if the triangles are similar or not. SSS- AA - SAS - Not~

A: solution

Q: In the figure BF 1 AE, m <BOC = x, and m ,GOH = y. Express the measure of the angle in terms of…

A: According to given figure ∠COD=∠GOH…

Q: Find the values of x and y in the parallelogram when AB = x-72, CD--x, m-D=(oy+ ) mLB= 157. %3D D. A…

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Q: T IS R ZS is a right angle. SR = 9 and mZT= 74°. Find ST.

A: Answer is given in next step.

Q: f ZA and ZB are complementary angles and mZA = 22°, find mZB. %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: B is the midpoint of AC. If AB = x+5 and BC = 2x - 11, find the measure of AB. %3D A B 16 C 21 42

A: Given : AB=x+5BC=2x-11

Q: Does AD lie in plane M?

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Q: Given the planes 3.x – 6y – 2z = 15 and 2x + y – 2z = 5 anser the following. (c) Find the angle…

A: Solve by using concept of normal vector.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Set a = i+xj+k and b = 2i−j+yk. Find x and y given that a is perpendicular b and their lengths are…

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Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is A: 0° B: 45° C:84° D:34°

A: we have to find the angle between the two given planes

Q: Given: AGHI ~ APQR, GH = 12, GI = 27, HI 18 and PQ = 20. %3D %3D Find: QR R 27 18 G 12 H P. QR = 20

A: To find: The length of QR. Given: The lengths are GH=12, GI=27,HI=18 and PQ=20. Formula used: If the…

Q: Determine angle x and y thank you

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Q: & In ARST, RT= ST, mZR (9x +2)'. mZS(13x-18), and mZT (17x+1), find xand the measure of each angle.…

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Q: Determine the measure of the indicated side or angle using the given figures. C. 1. (12x - 3 E LB =…

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Q: In AHIJ, i = 37.7 m, j = 45.2 m and ZJ = 71°. Determine the measure of ZI? %3D J 71° 37.7 m h H I

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Q: Given a right AXYZ with right angle at Y, then mX = 30° and XY = 12cm, 29. Find XZ. %3D a. 24 ст Ь.…

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Q: Assuming t // u, name the two pairs of alternate exterior angles. 4. 7. 8. O 21 and Z8; 2 and Z7 O…

A: Concept: Angle on the opposite sides of a transversal and outside two lines are called Alternate…

Q: In the rectangular prism shown, Z is the midpoint of XW. Find: U T R a VX c YZ b the angle RXV d the…

A: In the question it is asked to calculate following things for the given cube. Line VX ∠RXV YZ…

Q: Use the Triangle Rule to show that the vectors as shown satisfy u + v = v + u.

A: To Determine:  Use the Triangle Rule to show that the vectors as shown satisfy a+b=b+a Given: we…

Q: C. Given a right A SJD with right angle at D, Then meS = 30, SJ =12, 9. Find DJ. 12 10. Find DS. 11.…

A: This question is based on Trigonometric Ratios.

Q: Find the value(s) of a making i = 7ai – 33 parallel to w = a²i+3j.

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Q: Q2 Find the angle between the m If Ā =2i-10j - 11k and À xB , CẦXB) Ä 3 = 2i +2j+ k

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Q: Let u=2i+7j and v=3i+j. Find the angle (in degrees) between u and v.

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Q: Given that ADEF AHIJ, which is the correct statement about their corresponding sides? Answers A -D…

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Q: 3. DC %3D FD In the triangles below, D= AC and ZB ZF. Which statement must be true? A. AB EF O BAABC…

A: The solution is :

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.