Swim2433

19 Questions
9 Answers

0

637

1

+83

INSANE ALGEBRA

How many ordered pairs of positive integers $(m,n)$ satisfy $\gcd(m,n) = 2$ and ?

Swim2433 27 jul 2020

0

472

3

+83

Super difficult problem

Let be a real number for which there exists a unique value of x^2 + 2bx + (a-b) = 0 such that the quadratic equation has one real solution. Find a .

Swim2433 27 jul 2020

+1

937

4

+83

Very Interestign Problem

What is the greatest whole number that must be a divisor of the product of any three consecutive positive integers?

Swim2433 26 jul 2020

+1

646

2

+83

EXPECTED VALUE HARD PROBLEM

Suppose that we win $2 if we flip a heads on a coin toss, but lose $1 if we flip tails. What is the expected value, in dollars, of our winnings after one flip?

Swim2433 26 jul 2020

+1

634

1

+83

SUPER HARD COUNTING AND PROB

A cube 4 units on each side is composed of 64 unit cubes. Two faces of the larger cube that share an edge are painted blue, and the cube is disassembled into 64 unit cubes. Two of the unit cubes are selected uniformly at random. What is the probability lee mas ..

Swim2433 26 jul 2020

+1

481

1

+83

Expected Value Probabilities

Two jokers are added to a 52 card deck and the entire stack of 54 cards is shuffled randomly. What is the expected number of cards that will be strictly between the two jokers?

Swim2433 26 jul 2020

0

475

2

+83

Help!

Given and , what are the coordinates of the point on segment two-thirds of the distance from to ?

Swim2433 26 jul 2020

0

878

2

+83

Think About it Counting and Prob

An octahedron consists of two square-based pyramids glued together along their square bases to form a polyhedron with eight faces. Imagine an ant that begins at the top vertex and walks to one of the four adjacent vertices that he randomly selects and calls lee mas ..

Swim2433 25 jul 2020

0

862

1

+83

Advanced Probability with Combinations

Forty cards are placed into a box, each bearing a number 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, with each number entered on four cards. Four cards are drawn from the box at random and without replacement. Let $p$ be the probability that all four cards bear the lee mas ..

Swim2433 25 jul 2020

0

856

5

+83

NT problem

What is the probability that the same number will be facing up on each of three standard six-sided dice that are tossed simultaneously? Express your answer as a common fraction.

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Swim2433 25 jul 2020

0

1017

8

+83

Remainders problem

Lucy was born on Wednesday, December 1st, 2004. That Wednesday was the first day of her life. Her parents held a party for her on the $1000$th day of her life. On which day of the week was the party?

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Swim2433 25 jul 2020

0

1068

2

+83

Super hard NT

On a true-false test of 100 items, every question that is a multiple of 4 is true, and all others are false. If a student marks every item that is a multiple of 3 false and all others true, how many of the 100 items will be correctly answered? lee mas ..

Swim2433 25 jul 2020

0

859

2

+83

INSANE NT PROBLEM

Find the smallest positive integer $N$ with the following property: of the three numbers $N$, $N+1$, and $N+2$, one of them is divisible by $2^2$, one of them is divisible by $3^2$, one is divisible by $5^2$, and one is divisible by $7^2$.

Swim2433 25 jul 2020

0

651

2

+83

Hard Probability Problem

A turn consists of rolling a standard die and tossing a fair coin. The game is won when the die shows a 1 or a 6 and the coin shows heads. What is the probability the game will be won before the fourth turn? Express your answer as a common fraction. lee mas ..

Swim2433 25 jul 2020

+2

1006

1

+83

Question

$2\sqrt[3]{2}$ is the sixth root of what positive whole number?

Swim2433 14 jul 2020

+2

602

1

+83

Not sure how to solve this

A proposal will make years that end in double zeroes a leap year only if the year leaves a remainder of 200 or 600 when divided by 900. Under this proposal, how many leap years will there be that end in double zeroes between 1996 and 4096?

Swim2433 14 jul 2020

+83

0

What's aops??

Edit: uhhh is it? Abstract of Operations System (US Coast Guard)?

Swim243327 jul 2020

+83

0

Thx!

Swim243327 jul 2020

+83

0

Thx!

Swim243326 jul 2020

+83

0

Thx!

Swim243326 jul 2020

+83

0

Sorry, it's incorrect

Swim243326 jul 2020

+83

0

Incorrect

Swim243326 jul 2020

+83

0

It's correct :) thanks so much!

Swim243325 jul 2020

+83

0

It's not Tuesday :(

Swim243325 jul 2020

+83

0

Thank you so so much! :)

Swim243325 jul 2020