A prism has 406 vertices, how many faces does this prism have?

A pyramid has 405 vertices, how many edges does this pyramid have?]]>

What is Math - II]]>

1.) So we just had a discussion on determining probability given a card is removed and not shown to the player. It was proved with the law of total probability that the probability would not change. So 1 card is removed and then 1 card is drawn, the probability of a 2 is 4/52 = 4/52.

2.) I believe this extends to more cards being removed. So if 10 are removed and then 1 is drawn, the chance of getting a is 2 still 4/52.

For case 1.) Now what if the card that is removed is known...

Probability when cards are removed and when you know what they are]]>

Basically what's in the parenthesis goes from a subtraction to a sum (which is what I need for the particular problem, I just don't know why or the steps to get there algebraically step by step). It...

Step by step explanation plz (shouldn't be complicated)]]>

It all started with an innocuous TikTok video posted by a high school student named Gracie Cunningham. Applying make-up while speaking into...

What Is Math? - Part I]]>

2. For all numbers x, x+x>x

3. For all numbers x, x^3

4. For all numbers x, |x+3|=|x|+3

5. For all numbers x, -x<x]]>

I think I know order if operation, but can't make this work please help. ]]>

f(x)=5x1+3x2f(x)=5x1+3x2

Subject to

g1(x)=x1+2x2+x3−6=0g1(x)=x1+2x2+x3−6=0

g2(x)=3x1+x2+x4−9=0g2(x)=3x1+x2+x4−9=0

x1,x2,x3≥0]]>

Find the \(3 \times 3\) matrix that produces the described composite \(2\)D transformation below, using homogeneous coordinates.

Translate by \((-3,2)\), and then scale the \(X\)-coordinate by \(0.2\) and the \(Y-\)coordinate by \(1.2.\)

I have the answer key and don't need to send in an answer, so I'm not simply looking for the solution. I want to know how to solve it so I can solve similar problems.

Can anyone help me out at all?

I would like...

Finding the matrix to do given transformations]]>

One hundred prisoners are given the chance to be set free tomorrow. They are all told that each will be given a red or blue hat to wear. Each prisoner can see everyone else's hat but not his own. The hat colors are assigned randomly and once the hats are placed on top of each prisoner's head they cannot communicate with one another in any form, or else they are immediately executed. The prisoners will be called out in random order and the...

The prisoners brainteaser]]>

MY SOLUTION: each unique arrangement of 3 letters word can be made using {a,a,b,b} with no duplicates denoted by

for each unqiue arrangement i will get

SO total permutations with repetions = 4p3 =24 words

24...

PERMUTATION]]>

Whats an antilog ? Why is there an exercice where log is swaping over and it does not make it an antilog ? Not much about it on the net

Edit : notice that im a junior member now]]>

As hungry child walks into a store where the cost of a gum is $0.5, a snickers is $4, and a cola is $9. The child buys a few of each sort adding up to a total of 34 items for the exact cost of $97. How many of each did he get?

My attempt:

0.5x+4y+9z=97 since we only deal with integers I multiply by 2:

x+8y+18z=194, I also know that x+y+z=34 hence x=34-y-z. I plug that into my diophantine equation.

7y+17z=160, Solving with Euclid's Algorithm I eventually...

diophantine equation with 3 variables]]>

the problem is g=c/x + d/r, solve for x.

the answer I keep getting is cr/gr-d but that's not the right answer. how do I solve this?]]>

If one draws a single card from the deck of 52, and sees the face, say a 2, then if asked what is the probability your next draw will make a two of a kind, you would say

(4-3)/51.

Can someone explain how to solve the following scenario?

If one draws a single card from the deck of 52, and sees the card, say a 2, then the dealer discards a single card from the deck to the a pile without showing you the face, if asked what is the probability, how would you solve? How do you account...

Accounting for Potential of Discarded Card]]>