Sam is laying out patio stones in a triangular pattern. The first row has 2 stones and each row has 2 additional stones. Using sigma notation with 1 as the lower bound and 11 as the upper bound, how many stones are needed in the triangular patio?

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: SUC 5. Using the letters in SAMP ALOC LAKE, how many distinguishable permutations are there?

A: SAMPALOC LAKE  S=1 A=3 M=1 P=1 L=2 O=1 C=1 K=1 E=1

Q: Which of the following notations does not exist for wallpaper patterns? O a. c2mm O b. clml O c.…

A: A wallpaper group always contains translations in two independent directions, and then perhaps other…

Q: Let (") denote the binomial coefficient (also written as C(n, r) or nCr). Then (,",) + (;) =

A:

Q: What is the probability that an 8-digit driver's license number chosen at random will not have 4 as…

A: Given Data: The number of digits in the license number is: n=8 The possible number of ways is,…

Q: How many arrangements are there of the letters of the word CHEESECAKE under each condition?…

A: According to the given word; Total number of C = 2 Total number of H = 1 Total number of E = 4 Total…

Q: Write tEf-1 without sigma notation. 6k

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Q: Use sigma notation to write the sum.

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Q: 5 У32 — х

A:

Q: How was the S1 found on answer A?

A:

Q: a onvert the repeating decimal to - form, where a, b are integers and b 0. 54

A: Topic:- number system

Q: Find the value of the permutation 2Pi

A:

Q: Show

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Q: Write the equivalent combinatorial expression for:

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Q: what is the element a34

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Q: What is the big-omega notation for 1* +2*++*?

A:

Q: A baseball coach is determining the batting order for the nine players she is fielding. the coach…

A: Given that the coach has already decided who will bat first and second. This means (9-2)= 7 more…

Q: Show the na

A: To prove that:                   ∫abF(x)dx=limn→∞ U(Pn,F)

Q: ress the following using factorials and simplify:

A:

Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: Evaluate the Som 4. 3K KaO

A:

Q: Simplify the following into factorial notation, and evaluate: 13 a. 6! x 8648640 6227020800#5 =…

A: Given that  6!×8648640

Q: (5a) Find the possible combinations of 3 letters chosen from 4 letters.

A: We have to find the possible combination of 3 letters chosen from 4 letters.

Q: Find the order of 2 2; in C

A: Order is 8

Q: How many account numbers are possible if no digit appears more than once?

A: here given, account numbers for an internet service provider consist of alpha-numeric characters.…

Q: () Write the equivalent combinatorial expression for:

A: We have to find equivalent formula.

Q: Write the following in sigma notation. x199 +...+ 100 3. 5

A:

Q: Find the value of (99)^4 (using the binomial theorem).

A: This question is related to binomial theorem

Q: Find the left and right cosets of ((12)) in S3.

A:

Q: What is the use of Boolean identities?

A: Boolean algebra has a number of useful identities. Here an "identity" so called "rules" is a…

Q: Write the expansion of each expression using sigma notation. (5m – ón)* 24 (Sm)*-(-ón)" Y-0 24…

A:

Q: Find the 20th term in the expansion of (a + b)22.

A:

Q: How many different signals can be made by hoisting five yellow flags, two green flags, and four red…

A:

Q: A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults…

A: It is given that n =12 and p =0.18.

Q: Determine the coefficient of a10 in (1 – 3a5) by completing the following given steps.

A: Since, you have post the multiple question. I am  answering first one. Please post again for the…

Q: rn is not divisible by 3k +1 or n = 3k + 2.

A: Introduction: If a number a is divided by b, then there must exist an integer k such that, b=ak.

Q: Please Prove whether it is True or False. The value of nª - n² is divisible by 6 for any integer…

A: To prove that whether the given statement is true or false

Q: A man bought 20 pcs of assorted calculators for P20, 000.00. these calculators are of three types,…

A:

Q: 3. Every year, a tree produces three more fruits than it did the previous year. If it bore 12 fruits…

A: Every year, a tree produces three more fruits than it did the previous year. It bore 12 fruits in…

Q: How many terms are there in the expansion of (a+4b)^20 ?

A: Given expression, (a+4b)20

Q: Which notation expresses the number of permutations of 9 items taken 6 at a​ time

A: Number of permutations of n items taken r at a time is given by Pn, r=Prn=n!n-r!

Q: a) one tail test, a=0.01.and n3D27 b) one tail test, a=0.05 and n= 13 c) two tail test, a=0.01 and…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Write out the expression Tk (n=4) in full. Which are free and which are dummy indices? Jki 2,

A:

Q: Find the next two terms in (an)n20 beginning

A: Given,             3,  5, 11, 21, 43, 85, . . .

Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: The filling procedure is not perfect, however. The packages are filled wit ly beans, but the number…

A: 3.1 Parameter describes the characteristics of the population whereas the statistic defines the…

Q: For Americans using library services, the American Library Association (ALA) claims that 67% borrow…

A: ALA claims 67% borrow books i.e. p = 0.67 sample size  : n = 101  x : number of borrowed books = 78…

Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…