Question 1. Suppose a coin is tossed three times. A: Heads on the first toss B: Writing on the second shot C: Heads on the third toss

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: factors of 24 that add up to 10

A: factors of 24 that add up to 10

Q: 21 2. 6.

A:

Q: 75 - 3.5y - 4y = 4y + 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: 2/5+4/8

A: We have to find the sum

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

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

A: We will solve the problem.

Q: -7 5 1 9 0 -2 -1 2 -1 4

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

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: Randomly drawing and immediately three red M&Ms in a row from a bag that contains 10 red M&Ms out of…

A: Given: 30 total M&Ms in that 10 red M&Ms.

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: 6 2/5 ÷ 4

A: Given query is to solve the expression.

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: Expand (a −b)4

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 10. 15gr, 20s

A: Given

Q: -3n in

A:

Q: 1 3 8.

A:

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

A:

Q: 29 Using the combination formula expand (5+x)

A:

Q: 5 2/5+ n= 75/6

A: Given query is to find the value of n.

Q: 4 1/2 +6 1/5=

A: We have

Q: 土4 7

A:

Q: 3 3/4 + 2 7/28

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: mplify. (76)2

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…