2. (a) The 4th term of an A.P is 15. The sum of the first three terms is 9. Find the first term and the common difference of the A.P sin 0 (b) If tan 0 where 0 is an acute angle, evaluate sin 20+ cos 0 12

Q: 3 -4- -0- 4. 2.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 2) 36³x=¹

A:

Q: Expand -5x (2 - 3y)

A: Expand -5x (2 - 3y)

Q: 5 1 1 + 2r dr

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 4root2*4root2

A:

Q: 7,20

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 5у 10y

A: Given,    5y/10y    Cancelling y from both numerator and denominator to get,    5/10   Now, 5/10 can…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T. r…

A: We will evaluate the required value.

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: 7

A:

Q: 2) Expand the following a) Csa2-2b)

A: I have to exapand (5a^2-2b)

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 14 1

A: Given triangle is What is another side length?

Q: find: (m+I) m!

A:

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: elow is an incomplete probability model showing the likelihood of selecting a marble from a way.…

A: Second option is correct 3/10

Q: ydy (1+ у)*

A: We have to find the integral.

Q: Find A.

A: Given

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.