Over the past month, George the Tortoise has been flipped onto his back 211 times by Angie the Tortoise. George has been able to get back on his feet without help 7 times. What's the empirical probability that George will be able to get back on his feet without help the next time Angie flips him over? Answer in decimal form. Round to 3 decimal places as needed Your Answer:

Q: 4)1993

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Q: 11V3 30

A:

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

Q: b) Show that z, + z, = z, + Z, . 2

A:

Q: Find a and that solve the vector equation: + ß ;) = (³) 3

A:

Q: 14) lin +6

A: Given that  The limit is

Q: 16) V384x*y 18) 6V72x

A:

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: a) ||

A: Given Data: a→=-3, 0, -1b→=1, -3, -5   The value of the vector b→ is, b→=x2+y2+z2 Here, x is x…

Q: 3 in 5 in

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Q: 10) lim

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Q: a) Lin 5) x2+2y2

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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: (1)C-20 -4*)

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

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Q: 13. 161° 12) 好 delin

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Q: 4.) 5.) 6.) 50 10 4 9.) 8.) 7.) 11 38 47 4. %3D

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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: 18) 45

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Q: Evaluate (-()")' 15) 3 į20

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Q: 7) dy

A: We first separate the variables

Q: 29 33

A:

Q: Find A³ if A = {c, d}.

A: Cartesian product of c, d and c, d isc, c, c, d, d, c, d, d Further,           c, d× c, c, c, d, d,…

Q: 6xy÷(20cyrax-3y)

A: To evaluate: -6xy ÷(2xy+x×-3y) Let's simplify first inside bracket , therefore -6xy ÷(2xy-3xy) ⇒-6xy…

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: (7) Differentiate 66 b)

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Q: 7) W+2

A:

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.

Q: 10) 1 2_4χ

A: First we pull out the minus sign and then we use completing the square method .

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.