In a certain city, the probability of the event that it will rain on a certain day is 0.8 if it rained the day before. The probability of the event that it will be dry on a certain day is 0.3 if it was dry the day before. It is now Sunday, and it is raining. Use the random-number table to simulate the weather for the rest of the week.

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 21 2. 6.

A:

Q: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: Find L{1}ℒ{1}.

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 7/2 + 3 4/6

A:

Q: n?_4

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 16 2/5- 8 4/9

A:

Q: Reduce the following to the lowest terms. Show how to calculate the greatest common divisor by the…

A: The given fraction number is,Here we can write,As we can see the number 4 can be canceled out.This…

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

A:

Q: [ 8x³(4x² + 1)12dx

A:

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: -3n in

A:

Q: 6 3/20 - 6 3/8

A:

Q: W 4. What is the value of the 4th term of the expansion (a + b)"? O a5 O 5a*b O 10a²63 10a b?

A:

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: 2/5 +7/12

A: Please see the answer below.

Q: 3 3/4 + 2 7/28

A:

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: 1/20+1/10+1/4

A: