(in) A class is made up of 5 boys and 8 girls. Find the number of ways in which a mixed delegation of 4 students can be chosen from the class if it must include at least 2 boys. wO Statements p ond q are defined as foilows: p: the workers will go on strike. 9. there will be no salary. Write the following statements in correct English. (a) q= (b) - = (c) pAG

Q: 21. (12 + 5i)-(2 i) 24. (-6 5i)(1 + 3i)

A:

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

A:

Q: 6. 41 4 if possible. - 2 4 Multiply 4 - 2 1. If not possible, enter DNE. Add Work

A: Let A =-2444-21The number of rows of A is 2 and number of columns is 3.Hence the order of the matrix…

Q: z2 – 1.5z + 4.5 z(z – 3)

A:

Q: a.) (3 - 4i)(2 + 5i) 10/60 + 20/-45

A: Solution:

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: Evaluate: 3i - 1 i=1

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

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (4- i)(5i+ 1) : 10 - (4–…

A:

Q: If 2 does not divide xy then 2 does not divide x and 2 does not divide y indirect proof

A: Introduction: A mathematical statement can be proved in two ways. Either the statement can be proved…

Q: mn, Find the value of x if m22 = (3x – 8)° , m23 = (4x – 22)° -

A:

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

A:

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: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

A:

Q: Determine (1+4i)(5+i)

A: We need to multiply two complex numbers 1+4i5+i Now,  i=-1⇒i2=-1 We will use this in the calculation…

Q: : / (12t³ – 12t² - + 7)dt Evaluate:

A: Solve the definite integral

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: 6)(3і — 2) (4i — 5)

A: Given,

Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

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

A:

Q: arg((1+ i)(1 – i) + (-1,–1)) 7n A. + 2kn 4 " + 2kn В. 4 5n С. + 2kn 4 D. None of above

A: firstly , we will simplify the terms inside the bracket and, then we will use formula for argument…

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

A:

Q: Simplify 4 : 2V". 22

A: answer is option b.)      explanation is given in below step

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: Q.1) Identify a and b after the following is simplified: (6+2i)-(4+3i)

A: Given expression is (6+2i)-(4+3i)

Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

A:

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

A:

Q: (1 – v31)49 249 Find the value of

A:

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

A:

Q: 81x? – y? 3Vi+ vỹ

A: 81x2-y23x+y

Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

A:

Q: (6 + 5i)4 Calculate: (5 + 2i)4 O (5.25 + 1.3i) O (4.64 - 4.5i) o (2.54 - 6.2i) O (1.37 + 4.2i)

A: We know, i2=-1

Q: 5. a. Simplify the following expression: V-25 + 2i*24+ 4 (i6)² + 19 + 8i| – 4(5+ 6i) v-36

A:

Q: 3. Add, Subtract, Multiply and Divide ( 2 + 2i ) and ( 5 – 4i ).

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.