Given the following data for an imaginary superhero universe: Flying Telepathy Super Strength Female 50 16 69 Male 40 97 56 Distribution of Super Power by Gender What is the empirical probability that a randomly selected female superhero will have Super Strength? Answer in decimal form. Round to 3 decimal places as needed

Q: 11V3 30

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Q: 3 21. 2√45x Radical Expressions

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Q: 12) 13) 14) 3.3 4.2 20 10 157 2, 6.1 V

A: 12) In the given figure, there are two chords in the circle which intersects at one point. Now, the…

Q: 4) e4y dy 00

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: b) 7- 3(2х — 4) — 10

A: First we simplfy the bracket and then solve it for the value of x.

Q: 14) lin +6

A: Given that  The limit is

Q: 2 excos2rdr / 2) 0

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Q: 16) V384x*y 18) 6V72x

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Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: Show all the steps for calculating P(7, 5) and C (13, 11)

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Q: = 6 3) 12. Find e4 if A =

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Q: 14 - Which one is a basis for the vector space R3 ? 1

A: We have to check

Q: 10) In 2014 there were 1807 students applying in Theatre Academy. Of these applicants 62,98 %…

A: given: Total no of students (100%)=1807 62.98% of 1807 students applied acting depart= 1807 ×…

Q: 4 24) 4 27) + 8 = %3= 15 2|7

A: As the first question is already solved correctly we can solve the other two question as below.

Q: c) trace(BD) d) (AB) C

A: Given, A=2-104-29,   B=0-93-1-31324,  C=601-6-11,D=-2-30141     We will compute c)  trace(BD) d)…

Q: 1.) 4D4 + 20D³ +35D² +25D+6)y=0

A: Given differential equation: 4D4+20D3+35D2+25D+6y=0To find: General solution.

Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: 1) (3,4), (4,3) Ans. Independent

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Q: 3) Sa* csc 0d0 Csc Od0

A: To find: The integral of ∫π43π4cscθ dθ Formula used: Integration of trigonometric function: ∫cscθ…

Q: 6 3) Let C = -2 8 Find 2 C

A: We have given a matrix C  We have to find (1/2)C

Q: 2+13y+ 12

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Q: 13. Find B x A, if A = {0,1,2} and B = {a, b}

A: B×A={ (x,y) : x€B and y€A}

Q: Find u and if u-27= (1,3,3) and 37+7=(3, 2, 16).

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Q: 5 15 b) 12 28

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Q: 18) 45

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Q: 1. F({{a,b},{c}) 2. (1,2.3.4}) 3. P({{0}.5})

A: Note: Since you have asked multiple questions, we will solve the first three question for you. If…

Q: Evaluate (-()")' 15) 3 į20

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Q: Find x, y, and z* 3.

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Q: Compute C 7,2

A: The selection of elements without arrangement can be represented by a combination of elements. It is…

Q: 29 33

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Q: 22. a. F b. 64 C.

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Q: 4. Evaluate de J V20 – 02

A: we have I=∫dθ2θ-θ2 make the complete square of the denominator i.e. 1-(θ-1)2 now substitute…

Q: Let f(x) = 4x - 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given Functions,fx = 4x-3andgx = x2 + 4,hx =  x+5.

Q: Im Ac-58, find m<B

A: We are given with inscribed circle and need to find the angle B.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.