Show that S, and S, touch externally and obtain the equation of the common tangent T at the point of contact (it) A father and a mother have 5 children..This family is to occupy a particular front-line bench in church on a special thanksgiving service. Given that this bench has a capacity of 7 persons, in how many ways can this family be seated on the bench. (a) If the parents must seat adjacent to each other (h) If the parents must seat adjacent to each other at one end of the bench.

Q: expression is of the second degree

A: INTRODUCTION: The topic of simplification and approximation is one in every of the best within the…

Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

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Q: z2 – 1.5z + 4.5 z(z – 3)

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Q: 10 a.) Completely simplify E ()2* i=0 b.) Expand (1 – r)® and simplify. c.) Expand (r +r-1)5 and…

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Q: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: ede 02 and A= a3 then %3D Suppose e Oba, -0 Oca, -1 Od a--4

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Q: 24:x=18:3

A: Calculation:Evaluate the value of x as follows.Rewrite 24:x =18:3 as

Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

A:

Q: 2.((7+8i)(4+7i))

A: Solution (7+i8)⁶(4+i7)⁶=((7+i8)²)³((4+i7)²)³ » (49-64+112i)³(16-49+56i)³ »(-15+112i)³(-33+56i)³ »

Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: 516y+24g +99=0

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Q: Sx ³√x²+4 3 S

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Q: find andy メ <+(1-i³ y = 1 2 125 11+2i 9 = 11

A: Rationalize the denominator of coefficient of x and solve left hand side properly. Finally compare…

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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Q: Let 10 0 B: 0 0 1 01 0 then find B2, B, B, B³ and B to figure out the pattern for B". Then find:…

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Q: Express the following in the form a + ib (for real a and b): 1 (a) 6+2i (b) (-+ i)¹ (c) i², i³, i4,…

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Q: Simplify: а) (4 — 3) + (6 + 25) e) (5 – 3i) – (-8+ 7i) f) (4 – 2i) (3 – 5i)

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Q: 8√Z S sec³(s) ds 3/7/2

A: let  A=782∫sec3(s)dswe know  1+tan2s=sec2sA=782∫sec(s)sec2(s)

Q: 13.) An expression is shown: 3(1 + 2) + (5 + 2)². Simplify the expr

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Q: 4813 13

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Q: N=3 3 and4i are zero

A: Explanation and solutions is given below....

Q: Let u= and v=2i+j-2k. Please type in length |w| of w=2u-v. Please type (integer) number only

A: Given u=1,2,1 and v=2i+j−2k And w=2u−v We have to find the length w Here, u=i+2j+k…

Q: + 1)3² – 120 000 = 2100(- how do you isolate for i?

A: Given expression is 120,000=21001+i32-1i

Q: b.) (-38/135 +65/70) (3 + 4i) 5 + 2i

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Q: *Find 9/(3-21) (27 + 18 i) /9 O 7/13) - (18 /13)i Ο /13) + (18/13) i O 27 + 18 i Ο Ο Ο Ο O

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Q: 1 2 A = 1 B 1 2 : , - compute AB 3 4

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Q: If a = 2i+3j -4k and b 7i-10j +9k find a b. a b ||(Simplify your answer.)

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Q: 290-198   thank you very important that you can do the work on my own for dinner at my house…

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Q: 81x? – y? 3Vi+ vỹ

A: 81x2-y23x+y

Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: 2.((6e0.924i)(4+7i)³ )6

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Q: 3 − squareroot 3i

A: Given Data The equation is 3-√3i.   Express the equation 3-√3i in polar form,

Q: dx Evaluate xV – 9 13

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Q: evF dr S. A) 2 +1 В 2 +1 (D

A:

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.