Activity 3: Intersection and Union of Events The extracurricular activities in which the senior class at Kananga National High School participate are shown in the Venn diagram below. Drama Band 30 38 51 10 4 137 Athletics 67 Extra-curricular activities participated by senior students 1. How many students are in the senior class? 2. How many students participate in athletics? 3. If a student is randomly chosen, what is the probability that the student participates in athletics or drama? 4. If a student is randomly chosen, what is the probability that the student participates only in drama and band? OPY

Q: 21) What is the length of AB? A. 24.2 8.4 60 C. 4n 12.6 D. 81 = 25.1 B.

A: We know that: Circumference of a circle is covered by 360°. Therefore, 2πr unit is covered by 360°.…

Q: Let A, B and C be indepen P(AUB ANC) is equal t

A: Given that A, B and C be independent.   That is,

Q: - メ Q)ずー=e*e

A:

Q: Looking to get these two parts of the question answered. Thank you. Prove: {a,{a,b}}={c,{c,d}} →…

A: We have to prove two parts in this question.

Q: 8 What type of association does the following represent: The value of y decreases as x increases A.)…

A:

Q: Consider the diagram below. M T 5 yd 5 yd 3 yd 3 yd If MN 1 NO and TO 1 OX, then explain how we can…

A:

Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

A:

Q: kngamma(x,p) Assume; x=4 qud B=3

A: Given: X~Gammaα=4, β=3 The probability density function of gamma distribution is,…

Q: Given: AE and BD intersect at C. BA LCA and CD 1 ED. Prove: ABAC~AEDC Wo Statements Reasons…

A:

Q: 0. If ADEF = APRS, which of these congruences must be true? a. DF = PS b. EF = PR c. LE = LS d. ZF =…

A: Given: ∆DEF≅∆PRS……1

Q: り af ad ac 2) a e ab 3) af fe る

A: TOPIC - Properties of triangles The picture of the problem is given.

Q: ercise 4.22. Simplify the following set expressions. a) (AU AC)C b) (An A)C =) (AUB) N (ACUB)

A: Union and intersection

Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: 7. Which angles are supplementary? O 22 and 23 O 23 and 24 O 41 and 22 O 4 and 25 3. 2.

A:

Q: costex) +X

A: We evaluate the integral as,

Q: Which of the following is equivalent to

A: To find expression that is equivalent to:

Q: Identify all pairs of congruent corresponding parts. 4. ADEF = ALMN 5. ABCD = WXYZ A N. AEFD A DFE…

A:

Q: Qa. If Fes) = T , fined fcts %3D -2)-५) -৪)

A:

Q: tan(x+D Dlim

A: We have to find the value of limx→-1tanx+1x+1. If we substitute x=-1 in the function, then we get 00…

Q: USing U subshtution 2) Csc² 20 cot 20 4e bursh CSC 4= cot 20

A: To evaluate the given integral by substitution method

Q: 17. which of the folowing ions s NOT atuncton A --u-sa 10 15

A:

Q: Ax) b- a -dx = Ax)+f(a+b- x) 2

A: To prove:∫ab f(x)f(x)+f(a+b−x)dx=b−a2 Let, I=∫ab f(x)f(x)+f(a+b−x)dx    ...(1) Since, we know that…

Q: ). Expand The equation ,2, 3. and Simbe when Aij=Aje (a, Symmetnic (Ante-

A: (a) Given Aij=AjiSymmetric We have to expand Aijxixj and then simplify it…

Q: 4.) Perform (こ-3 A = CIBA

A: a

Q: O ACBIF and only if AU B = B

A:

Q: Question 4 a. SAS b. ASA C. Not congruen d.

A: we are given 2 triangles we need to check weather the given triangles are congruent or not, if yes…

Q: 3 mi 4 mi

A:

Q: lo Prove that. Ax.CBx= (A.C)B. (A.B) where..As.a,it.azj.+a3.k t..

A:

Q: 5. Which pair of triangles prove AAS? C D K BF В. С. H. А. D.

A: Given query Is to find AAS congruent triangle.

Q: b. e"d0 [Hint: v*du = +c] b"du In b

A: By using integration by parts.

Q: B 11 a.) Find LA 17 A 18

A:

Q: 2. - XGtx)

A: Explanation of the answer is as follows

Q: Hi w. Form a PDE from the followingg- (3 u=fx)+X中Y)

A:

Q: Let a, b, c Є Z. Prove that a | b and b c implies a | c.

A:

Q: M. 5. 15 15 6 N 1)find all the corresponding angles

A: