a bag contains 500 beads of the same size. there are 5 different colors of beads and 100 beads of each color. if you are blindfolded, what is t he least number of beads that you must pick beore you can be sure that you have picked 5 beads of the same color?  Polya's 4 step process

Q: seth has 15 cans of regular soda and 20 cans of diet soda. he wants to create some identical…

A: Given that, Seth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some…

Q: Of the 1000 students enrolled in a school, 450 are enrolled in mathematics, 300 are enrolled in…

A:

Q: Nine square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at…

A: Perimeter:- In geometry the perimeter of the shape is total path and boundary that surrounds a…

Q: A teacher places n seats to form the back row of a classroom layout. Each successive row contains…

A:

Q: Let A is multiples of 3 then show that it is countable infinite

A:

Q: We have two people (p=2) and two different towels (t=2). Each person needs exactly one towel. In how…

A:

Q: Thomas works 12 days out of every month. His shifts vary in length. He works an 8-hour shift half of…

A: Ans - given that thomas works 12 days out of every month. He works an 8 hour shift half of the time.…

Q: Paper cups are sold in packages of 6, and napkins are sold in packages of 8. Ted wants to buy the…

A: Paper cups are sold in packages of 6 and napkins are sold in packages of 8.

Q: The mayor of Renee's town chose 160 students from her school to attend a city debate. This amount is…

A: 160 students from Renee's school were chosen to attend a city debate. This is no more than 1/4 of…

Q: 8. A bag of marbles can be divided in equal shares among 2, 3, 4, 5, or 6 friends. What is the least…

A:

Q: a honda dealership sells both motorcycles and cars. There are a total of 200 vehicles on the…

A: Let the number of cars be x. Then, the number of motorcycle be (200-x)

Q: The third term of a G.P. is 12 and 6th term is 96. Find the sum of nine terms afist alumo adT (8)…

A: Consider the provided question, The nth term of G.P is given by, an=arn-1where, a is the first termn…

Q: Shirley wants to buy a skateboard for $64. She already has $98 in her account. She spent $10.85 tto…

A: Given that, Total amount in the account is $98. The amount spent for stationary is $10.85. The…

Q: 3 for all n.

A: We have to find the following conditions according to the given information

Q: You break your piggy bank to discover lots of pennies and nickels. You start arranging them in rows…

A: there are two type of coins Nickel and Pennies first calculate the number of rows  since each row…

Q: a. Place the digits 7, 6, 8, and 3 in the boxes to obtain the greatest product. b. Place the digits…

A:

Q: n practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 15…

A:

Q: Baskin's Robbins has 8 different toppings to choose from for a bowl of ice cream. How many different…

A:

Q: a bag contains 500 beads of the same size. there are 5 different colors of beads and 100 beads of…

A: Say the five colors are ,   a,b,c,d,e  You can pick 4 of each colors then the next pick would…

Q: A band of 17 pirates stole a sack of gold coins. When they tried to divide them into equal portions,…

A:

Q: Use the fact that 12 oz is approximately 6.89pi in3 to find the dimensions of the 12 oz Coke can…

A:

Q: A section in a stadium has 20 seats in the first row, 26 seats in the second row, increasing by 6…

A: We are given that a section of stadium has 20 seats in the first row and 26 seats in the second row…

Q: Students are made to stand in rows. If one student is extra in a row there would be 2 rows less. If…

A: Let number of rows is x and number of students is y in a row.Then the total number of students is…

Q: 4. Find the largest value of n such that 2"|16!.

A:

Q: You want to estimate how many fish there are in a small pond. Let's suppose that you first capture…

A: Here given n1=600 fish, n2=30 fish, and k=8  Consider the estimated number of fish in the pond is N.…

Q: A local reader's club has a set of 12 hardback books and a set of 18 paperback books. Each set can…

A:

Q: In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6…

A:

Q: 2. To find the greatest and then see which number you have the most of. you put all the numbers in…

A: Mode: Mode is the value which have highest frequency Highest frequency means the value which have…

Q: A teacher places n seats to form the back row of a classroom layout. Each successive row contains…

A: Given: A teacher places n seats to form the back row of a classroom layout. Each successive row…

Q: Find N

A: Here we have; ∠P=(x+9)∘ and ∠Q=(2x+3)∘ We have to find ∠N=?

Q: A section in a stadium has 25 seats in the first row, 31 seats in the second row, increasing by 6…

A: Solution of this question is

Q: Find the least positive integer n for which 2" + 5" - n is a multiple of 1000.

A: To find the value of n substitute n=1,2,3... multiple of 1000 is a certain number divided by 1000…

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

A:

Q: of all positive integers Find the sum less than 200

A:

Q: You are arranging some old books into boxes. If you put 5 books in each box there are 3 remaining.…

A: Let there are n books total.   Given that If you put 5 books in each box there are 3 remaining.  So…

Q: A theater has 32 rows. The first row has 18 seats, and each row that follows has three more seats…

A: Given A theater has 32 rows. The first row has 18 seats, and each row that follows has three more…

Q: Fill in the blank/s: The number of possible combinations if r objects are taken from n items is nCr…

A: The number of possible combinations if r objects are taken from n items is  ____.

Q: grade 7 students (A, B, C, D, E, and F) ran the following distances in kilometers in 2 hours: 4√2,…

A: We will represent this on number line.

Q: Shots in a video game are either hits or misses. How many sequences of 8 shots in this game consist…

A: Given : Shots in a video game are either hits or misses.    Combination : The number of ways to…

Q: There are 60 boys and 45 girls attending camp the boys and girls are divided into the greatest…

A: There are 60 boys  45 girls For the greatest number of teams possible , we have to look for the…

Q: A fireman's softball team wins 6 games out of the first 9 played. They go on to win all their…

A: This question is related to algebraic operations, we will solve it using given information.

Q: 10 people sit around a circular table. The sum of their ages is 200. What is the largest number n…

A:

Q: Find the value of n such that "P = 42 "P3, n>4

A: Introduction :

Q: Chamy and Kleah went to an amusement park. They bought the same number of ride tickets, but Kleah…

A: Given: Chamy and Kleah bought same number of ride tickets. Kleah bought the tickets in pack of 16…

Q: A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd…

A: Given

Q: 9. Knights always tell the truth and knaves always lie. A knight sits in a circle with 8 other…

A: According to the given information, it is required to determine the maximum possible number of…

Q: There were 7066 known nesting pairs of bald eagles in the lower 48 states in 2008. This is 6649 more…

A: Given that, the number pair of eagles in 2008 is 7066,the number of eagles in 2008 is 6649 more…

Q: theater has 41 rows of seats. If there are 22 seats in the 1st row, 26 in the 2nd row, 30 in the 3rd…

A:

Q: three positive n umberu whoce Find the is and the the maximum Sum OF Sum numbers is 100 OF there…

A: This is a problem of conditional maximum. So, we have to use Lagrange multipliers in this problem as…