help-0

[pallid trout]

This is Euclid's proof, right?

[plucky crow]

is this wrong?

because the remainder is not 1 here the remainder is 1/2

[minor heath]

try to familiarize yourself with the modulo function

[plucky crow]

they dont use modulo

they say

divide

[golden lantern]

Here the 1 is the remainder

[minor heath]

a mod b = q + r where q and r are integers

[golden lantern]

Not 1/3

[plucky crow]

oh

[plucky crow]

yeah but if you actually divide both sides by 3

[pallid trout]

The crux of Euclid's proof on infinite prime is that X must have a prime factor. If X has a prime factor (let's call it p) , it cannot be in the list of finite primes because p would divide X-(product of all prime) = 1, which is impossible. So X/p has to happen and p isn't part of the list of finite primes, therefore it's another prime.

[golden lantern]

@plucky crow the point is if I divide 4 by 3 I want to know how many times 3 goes into 4, which is once with one left over. Whatever is “left over” is the remainder by definition

[plucky crow]

oh

[golden lantern]

So 22 divided by 7 would be 3 remainder 1 etc

[plucky crow]

alright got it

ty

[alpine sable]

can someone help me find the inflection points for this function?

[gray isle]

what have you tried?

[alpine sable]

well I found one

I'm not sure if there's others

just wanted to make sure

F=(3;-1)

[gray isle]

and what method did you use?

[quick talon]

help

[alpine sable]

heyo

can someone help me?

C= (5AB) ^1/2 I got C as (10 · 2^499)

[opaque osprey]

@quick talon #❓how-to-get-help

[rich haven]

i need someone to help me understand this

[alpine sable]

thats tales's theorem

if you complete the following lines u can see it clearly

sorry for bad drawing

correct if im wrong

[sharp sail]

it's somewhat about basic proportionality theorem

And some logic :)

[alpine sable]

proportionality theorem is tales theorem right?

[sharp sail]

yea

:)

[wind storm]

plz help me

Exercise 6:

The sum of three consecutive whole numbers is greater than 1914, and less than 1918.

-What are these numbers?

[sharp sail]

ok lol

[wind storm]

[sharp sail]

let the numbers be x-1, x and, x+1

x-1+x+x+1 > 1914
=> x > 1914/3
=> x > 638

Also
x-1+x+x+1 < 1918
=> x < 1918/3
=> x < 639.3333

Now you know the numbers :)

Its the whole number between 638 and 639.33

Therefore the numbers are 638, 639 and 640

[atomic nymph]

Im guessing I can use this channel? Hopefully I can

i don't understand how it gets to the second step

especially the second part:

• ( 1 - 2 sin^2 y ) sin y

[sly mantle]

@atomic nymph see my trig sheet in pins, double angle

[lime axle]

need help how would this sequence work

wait..

[alpine sable]

put the value on n

[lime axle]

so if the n = 1

[alpine sable]

then

[lime axle]

(1+1) squared

its 2 sqaured

2x2 = 4

[alpine sable]

yup

[lime axle]

but

[alpine sable]

[lime axle]

4+4 isnt 9

so..

[alpine sable]

then why 4 if 1?

[lime axle]

what?

[alpine sable]

and why 9 if 2??

[lime axle]

but 1 is the figure number aka n

[alpine sable]

so....

[alpine sable]

how did you get 4+4

where does other 4 come from

[lime axle]

.

[lime axle]

from here

since the n was 1 and you had to +1 to it

i did that

then squared it

[alpine sable]

ok

[lime axle]

and thats how i got 4

[alpine sable]

then why is this

[lime axle]

what?

[alpine sable]

how did you get 4+4

[lime axle]

oh wait..

[alpine sable]

math requires patient

that's why i hate it

[lime axle]

it just it i have a exam tommorow i have been studying for well over 3 hours

and this is the final exersice

[alpine sable]

sounds like you're procrastinating

[lime axle]

not really

alright tso

so

[alpine sable]

...

[lime axle]

to get 9 i have to do n(which is 2 now)+1 = 3 squared

[alpine sable]

hence...

pretty sure you understand

[old flare]

[alpine sable]

[lime axle]

but 3 squared is 6

[alpine sable]

what...

[lime axle]

wait

[alpine sable]

why is 6

[lime axle]

my brain deid

died

[old flare]

[lime axle]

i thought every square was with 2

[alpine sable]

smh

[lime axle]

i want tod ie

[alpine sable]

c'mon man he wasn't be careful

[lime axle]

alr

[old flare]

Sorry

[lime axle]

i got it

woof

that took along time

[alpine sable]

no don't

[lime axle]

alright ill be on my way now

just 2 more pages then i can rest

ill come back here if i need more help

[alpine sable]

gl with the exam

[lime axle]

ty

[rich haven]

would it be e

[alpine sable]

i was thinking it was A, but turns out its E

[woeful ridge]

Hello quick question if I’m given the angle exp. Sec 8 . Cos would be 1/cos 8?

[pallid trout]

yes

[rugged pilot]

Could someone tell me what the answer is, please?

[alpine sable]

no

is this exam or quiz or what

@rugged pilot

#❓how-to-get-help

[mild cargo]

@rugged pilot buy me the new resident evil game

and ill tell you

[alpine sable]

<@&268886789983436800> someone wants resident evil so bad

this is fraud

[mild cargo]

im poor

[sly mantle]

@mild cargo stop trolling

[mild cargo]

im dead serious

but ok

[lean yacht]

I need help with binominal distribution propability im stuck

[alpine sable]

[lean yacht]

i got a 1) right and b 1) right

i think

<@&286206848099549185>

[rocky tinsel]

Can’t you use your calculator

[alpine sable]

<@&268886789983436800>

insulting is against rule amirite

[zinc ridge]

What do you need help with exactly? Want us to check your a1 and b1?

[alpine sable]

also please well behave this is not channel for drama

[sly mantle]

it's not particularly helpful but i don't see it as insulting either

[zinc ridge]

@lean yacht your answer for a1 and b1 should be correct (I didn;t check myself but the working is correct). The reason your answer for a2 is wrong because it ask for P(F=<3) = (F=0)+ (F=1) + (F=2) + (F=3)

or you could use complement probability P(F=<3) = 1 - [(F=4) + (F=5)]

[radiant blaze]

can anyone explain how xsqrt1+x^2/1+x^2 simplifies to x/sqrt1+x^2

[subtle mantle]

Multiply the numerator and denominator by sqrt(1+x^2) then cancel

[karmic rapids]

I need help with it, dont know how to proceed from here

[jovial reef]

my solution might be different from yours slightly

x^3-8 can be expressed as the product of (x-2)(x^2 +2x+4)

so in the fraction 1/(x-2)

[tight locust]

apply linearity of limits

[jovial reef]

we only have to multiply x^2 + 2x +4 to both the numerator and denominator

yielding (12-(x^2 +2x+4))/(x^3-8)

hence it becomes (12-x^2-2x-4)/(x^3-8)

(8-x^2 - 2x)/(x^3-8)

notice that when x=2

the denominator becomes 0

because of that

[karmic rapids]

ohh i guess that what i need, I didnt know how to make (x^3-8) to what you wrote

[jovial reef]

oh here is a tip but do try to research it to make sure

[(a^3) - (b^3)] = (a - b)[(a^2) + ab + (b^2)]

[(a^3) + (b^3)] = (a+b)[(a^2) - ab + (b^2)]

try it yourself and see if it is correct

in x^3-8, a=x and b=2

[karmic rapids]

yea i need that formula, thanks!

[jovial reef]

so use [(a^3) - (b^3)] = (a - b)[(a^2) + ab + (b^2)]

[jovial reef]

you're welcome

also when the x approaches 2 from the left we can see that the denominator is near zero but less than zero

and if x approaches 2 from the right we can see that the denominator is near zero but greater than zero

so the limit does not exist

because the left and right-hand limits approach -infinity and +infinity respectively

although I would want to be corrected if I am wrong

[gray sundial]

Can someone pls do this step by step

[karmic rapids]

yea i guess the limits are different from both sides although i didnt calculate

[gloomy lintel]

Ok so this is just the chain rule, derivative of e^kx is ke^kx
So this is just 28000(-0. 19)e^-0.19x

So the derivative is -5320e^-0.19x

Remember the derivative of the ‘inside’ function comes outside, multiplied by the derivative of the outside function

Here the inside function is -0.19x ( the power of e), and the outside function is 28000e^u

[alpine sable]

yo whats the coefficient of -7^6?

super quick question i have no idea what the coefficient of a squared term is

[plucky crow]

differentiate it twice and set it equal to 0

[gray sundial]

Thanks alot

[nimble elk]

someone please explain to me what I do

[tight minnow]

Solve for b using Pythagoras's theorem

[jovial reef]

also transpose the variables/values

[tight minnow]

Solve for angle of A by using sine relationships

Solve for angle of B by using cos relationships

[alpine sable]

why tf is this not x^3?

i saw the answer it said its x^2 ...

[rugged pilot]

im so confused

[jovial reef]

x^2 times x^6 equals x^8

[alpine sable]

that doesnt make sense

is it a fraction

[rugged pilot]

how do you solve this

matrix

[jovial reef]

(x^3)^2 = x^6

[alpine sable]

ye

and then

x^8 minus x^6

is x^2

right

oh

wait

wait

im stupid

:/

[ionic jewel]

notably it's division, not subtraction

$x^8-x^6 \neq x^2$

[ocean seal]

bunny

[ionic jewel]

just look up the formula for the inverse of a 2x2 matrix

you could do it the "long" way but no need

[alpine sable]

oh yea thanks for reminding me

if it was x^8 - x^6 then what would it be instead

[ionic jewel]

you can't simplify this

[alpine sable]

yea what i thought

ok thanks

[ionic jewel]

outside of $x^6(x^2-1)$

[ocean seal]

bunny

[ionic jewel]

which arkguably isn't simpler

[alpine sable]

large brain bunny

[gloomy lintel]

The inverse matrix is 1/det M with the top left and bottom right elements switching place, and the other two elements changing sign

It’s worth just learning that until you learn how to derive it at uni or something

[ionic jewel]

i doubt he knows what determinate is if he doesn't know inverse of a 2x2

[gloomy lintel]

@rugged pilot

[rugged pilot]

ohhhhhhhhhhhh

[ionic jewel]

perhaps he does then

[rugged pilot]

i watched a khan video

thanks

ok

but one more question

what is the transformation for a matrix for 270 degrees about the origin

i cannot figure it out

[alpine sable]

when they say evaluate, do i leave it as a base with an exponent or do i just sovle it

to a number without exponent

[calm anchor]

Definition for evaluate:

So i would guess to just solve it

[gloomy lintel]

Recall that the general rotation matrix for angle of theta anti-clockwise is (cos ø -sinø
sinø cosø) @rugged pilot

[alpine sable]

ok thanks

[gloomy lintel]

Or alternatively you can try seeing what happens to (1,0) and (0, 1) under the 270 degree rotation

[alpine sable]

i thought it was something else cause the previous questions were like that

[gloomy lintel]

Probs an easier way to do it

[calm anchor]

Im not sure though, its just a guess

[alpine sable]

is the answer -2^-1

isnt it -2^13 / -2^14

[gray isle]

neither sound correct

[tight minnow]

It is -2^9

[gloomy lintel]

How are you getting those values of -2^13/14?

[alpine sable]

uhhh

how

[gloomy lintel]

Ok so for the first bracket, this is (-2)^7 ( we add the powers of 3 and 4) to the power of 6
For a power to a power we multiply the powers so the first bracket is (-2)^42

[alpine sable]

uhhh

why is it times 6

tho

[gloomy lintel]

(a^b)^c = a^(bc)

It’s just an index rule you learn

[alpine sable]

is that a rule

oh ok

[gloomy lintel]

For eg

[alpine sable]

oh

[gloomy lintel]

(2^2)^3 is 2^2 x 2^2 x2^2 which is 2^6

Or you could do the 2x3 which is the short way

So that’s why it’s (-2)^42

[alpine sable]

ohh

so

basically

if a squared numer is squared again

then it just times the square

so like 2^2^3

is just

[gloomy lintel]

Yeah same principle

[alpine sable]

2^6?

[gloomy lintel]

Yes

[alpine sable]

POG

nice thanks man

[gloomy lintel]

No worries.
So now do you get the answer of (-2)^9?

[harsh acorn]

Does anyone know the name of this question? 3(x – 1)2 so I can watch a video on youtube that explains to me?

[low tusk]

I need help on my 8th grade math homework its on Multiplications of Exponents

I really need help on number 12 12.89x 10 =

I kinda need help on all of them- heh-

[alpine sable]

That means you should probably review the lesson. Do all the products involve powers of ten (10, 100, 1000, 0.1, 0.01, etc.)

When you are multiplying something by 10 for instance, you move the decimal place over to the right by one. So

10.54 * 10 = 105.4

[low tusk]

Mhm

Hold on

[alpine sable]

is this right?

[alpine sable]

everytime theres an extra 0, just move the decimal point one place to the right

so if its 12.89 x 100, its 1289.0

or just 1289 lol

[alpine sable]

yes

this is -2+1/10?

[glass lichen]

how did you get a negative?

[alpine sable]

i rlly dk

this is confusing

cause of the negatives lol

:/

[glass lichen]

$3\frac{3}{5}=\frac{18}{5}$

[ocean seal]

Mosh

[alpine sable]

yes

but uh

for the other one isnt it -11/2

[ionic jewel]

yes

[alpine sable]

ok so now its

[ionic jewel]

18/5-(-11/2)

[alpine sable]

uh yea

lemme solve that rq

uhh

[alpine sable]

is the numerator or denominator

[ionic jewel]

what happens when you subtract a negative number?

[alpine sable]

positive or negative

[ionic jewel]

a-(-b) = ???

[alpine sable]

its a + b

[ionic jewel]

yes so what's yours?

18/5-(-11/2)

[alpine sable]

18 + 11

wait

is -11/2 negative on both numerator and the denominator

[ionic jewel]

$\frac{18}5-(-\frac{11}{2})$

[ocean seal]

bunny

[alpine sable]

18/5 + 11/2

[ionic jewel]

yes

[alpine sable]

then i turn 5 and 2 to 10

[ionic jewel]

do you know how to add fractions?

yes

[alpine sable]

and then i multiply top by 2 and then 5

thats what i did

earlier

tho

and the asnwer was wrong

oh nvm

it wasnt wrong

:/

thanks bunny

[ionic jewel]

haha glad u got it

[alpine sable]

i have circle geometry to learn next

i need to master these concepts by next week :/

[glass lichen]

yes, $\theta \in [0,2\pi )$ is a fine restriction on $\theta$

[ocean seal]

Mosh

[glass lichen]

reverse the interval, then yes

it's a full rotation

to write an interval properly? Yes...

also "legal move"

this isnt chess

[ionic jewel]

check and mate

[glass lichen]

an interval is still an interval regardless of polar or rectangular

so they should be properly written

[slender girder]

are you guys nerds?

[alpine sable]

idk why the answer to this -3.8...

[ionic jewel]

,calc -5.7/1.5

[ocean seal]

Result:

-3.8

[alpine sable]

:/

wait

waittt

waitt

[alpine sable]

is that the equation..

[ionic jewel]

no

multiply both sides by x, then divide both sides by 1.5

then it is

[alpine sable]

wait ik that

its just

-x = 1.5 x 5.7

right

why is it divide

[ionic jewel]

no

[alpine sable]

arent u carrying the divisor to the other side

[ionic jewel]

what did you do to both sides to get this?

[alpine sable]

if its to the other side dont u do the opposite

ok ill show u

[ionic jewel]

... no

[alpine sable]

ok lemme take a pic first

[ionic jewel]

x-1 = 2
add +1 to both sides
x-1+1 = 2+1
x = 3

[alpine sable]

sorry for bad camera quality im using my macbooks

[ionic jewel]

whatever you think you did going from the first to the second line is wrong

not sure what its meant to be

[alpine sable]

when

u isolate x,

u have to move the numbers that dont include x right

[ionic jewel]

you isolated it wrong

[alpine sable]

so i moved it

[ionic jewel]

okay

[alpine sable]

and made it oppposite

[ionic jewel]

let me try another form

[alpine sable]

ok

cause i dont divide both sides or multiply

both sides

[ionic jewel]

$-5.7\cdot \frac1x = 1.5$

[alpine sable]

i jsut isolate

[ocean seal]

bunny

[ionic jewel]

this is the same thing

[alpine sable]

oh ye

wait

oh ya it is

[ionic jewel]

okay so we want to isolate x

[alpine sable]

yes

[ionic jewel]

but right now its on the bottom

oh no

so we want to multiply both sides by x, so it isnt on the bottom anymore

so we get $-5.7 \cdot \frac1x\cdot x = 1.5x$

[alpine sable]

when u say multiply boh sides by x,

x times x is x^2?

[ocean seal]

bunny

[ionic jewel]

no keep with me here

do you agree what I wrote here is true

[alpine sable]

ok

[ionic jewel]

multiplying both sides by x?

[alpine sable]

uhhh

why are we multiplying x by another x

[ionic jewel]

we arent

[alpine sable]

o

[ionic jewel]

1/x is not equal to x

[alpine sable]

1/x by x

oh.

so essentially

[ionic jewel]

$\frac1x \cdot x = 1$

[ocean seal]

bunny

[alpine sable]

im jsut multiplying 1.5 by x?

[ionic jewel]

you are multiplying both sides by x

do you see how I multiplied in an x on both sides?

[alpine sable]

oh yes

so its just -5.7 x 1 = 1.5x

[ionic jewel]

yes

exactly

[alpine sable]

or -5.7 = 1.5x

oko nice

[ionic jewel]

I think the important takeaway here is that $\frac1x \neq x$

[ocean seal]

bunny

[alpine sable]

And when you multiply them, you get 1

1/x is just 1?

ye

cuase 1 x 1 is 1

ok thats nice

thanks

Goji, if you had $\frac1x = 2$

[ocean seal]

Em

[alpine sable]

x is 2

wait

no

no

no

How would you solve for x

uhh

Not 2, you're right

2 x 1

wait

[ionic jewel]

remember the trick we used before to get x out of the bottom

[alpine sable]

x times 1/x

X x 1/x = 2 x 1

i make no sense lmaoo

[ionic jewel]

$\frac1x\cdot x = 2\cdot x$

[ocean seal]

bunny

[alpine sable]

You multiply both sides by x

oh yes

1/x = 2x

Almost

wait

x is still there

so 1 = 2x?

Good

How much is x

0.5

or 1/2

right

Yes

nice

What about this:

thanks for testing me btw

this is helpful

$\frac2x=4$

[ocean seal]

Em

[ionic jewel]

give him 1/x^2

[alpine sable]

ok so its

2/x = 4x

then its 2 = 4x

x is 1/2

Yes, but you wrote the first step wrong

o

[ionic jewel]

(2/x)*x = 4x

[alpine sable]

How about this one:

[alpine sable]

times?

not add

Times yes

ok

Both sides is times

ohh yea

[ionic jewel]

we are multiplying both sides by x, yes

[alpine sable]

i forgot

What about this

$-\frac2x=\frac12$

[ocean seal]

Em

[alpine sable]

ok back

uhh

ok so its

still isolate x

-2/x multiplied by x = 1/2x

then its

-2 = 1/2x

[ionic jewel]

this doesnt sound right

[alpine sable]

o

[ionic jewel]

this is true tho so i guess ur thinking about something right

[alpine sable]

ye

whats wrong

about my earlier statement

(1/2)x

oh

yea oops

[ionic jewel]

$-\frac2x\cdot x \neq \frac12x$

[alpine sable]

i meant that

[ocean seal]

bunny

[ionic jewel]

oh

i get what you were doing

[alpine sable]

uh

yea

[ionic jewel]

thats not the right way to write it but its fine ig

[alpine sable]

-2 = 1/2x

so

[ionic jewel]

yes

[alpine sable]

x is

uhh

-4

Now apply the same logic for the 1/2. Multipl both sides by the denominator

[ionic jewel]

yes

[alpine sable]

And -4 is right

[ionic jewel]

here have another

$\frac2x = \frac1x + 1$

[alpine sable]

:D

[ionic jewel]

slightly harder

[alpine sable]

ok

[ionic jewel]

wait this is a dumb question but thats ok

[alpine sable]

so its

1/x - 1 = 1/x

Bunny we should open up a school

[ionic jewel]

true

[ionic jewel]

ok sure

[alpine sable]

lmao u should

[ionic jewel]

i accidentally made this a trick question, but solve as far as you can

[alpine sable]

i can tell its tricky

[ionic jewel]

here lemme edit it

[alpine sable]

is it

[ocean seal]

bunny

[alpine sable]

1 = 1 / x^2 - 1

[ionic jewel]

the other one had no solutions, this one is better

try this one

[alpine sable]

o

so the question i jsut tried to solve has no correc answer?

[ionic jewel]

yes, there were no solutions for x

[alpine sable]

ok

[ionic jewel]

this one does have a solution to x though

[alpine sable]

is one of the steps

1/x = 2/x - 1

[ionic jewel]

i mean thats valid, but it doesnt help you solve it I dont think

[alpine sable]

o

makes sense i have no clue

How about moving 1/x instead of 1

uh i tihnk its this

1 = 2/ x^2 - 1

moving 1/x ?

[ionic jewel]

this is incorrect

[alpine sable]

so is it this instead

[ionic jewel]

how did you get to it?

[alpine sable]

move x to the other side and leave 1

and then x goes to the other x

[ionic jewel]

so you are multiplying both sides by x?

[alpine sable]

uh yes i tihnk

[ionic jewel]

$\frac2x\cdot x = \left(\frac1x + 1\right)\cdot x$

[ocean seal]

bunny

[ionic jewel]

like this?

[alpine sable]

no x times x

the x in 1/x

times x

so its 1/x^2

[ionic jewel]

we already established that $\frac1x \cdot x = \frac xx = 1$

[ocean seal]

bunny

[alpine sable]

yes

em said to

move 1/x

so is it

1/x dvided by 2/x

or multiplied

when u move a number to another side of the equal side is it the opposite of it

Listen to bunny, we can do my method after

ok

[alpine sable]

imma focus on this

[ionic jewel]

yes

[alpine sable]

OH

[ionic jewel]

if you agree multiplying by x makes this true perhaps that helps

[alpine sable]

I SOLVED IT

[ionic jewel]

what did you get

[alpine sable]

IS X 1?

[ionic jewel]

yeah i think so

[alpine sable]

1 = 2 -1

[ionic jewel]

lemme see

yes but not for that reason i dont think

[alpine sable]

o

[ionic jewel]

how did you get that?

[alpine sable]

u said that

[alpine sable]

this

1/x times x - x/x = 1

so if i plug 2/x and 1/x to ur solution

it comes out as that

[ionic jewel]

not sure what that means, perhaps you could write out your steps

[alpine sable]

ok

lemme show u

i gnore the scribbles

@ionic jewel

[ionic jewel]

we said that $\frac1x \cdot x = 1$. but you said $\frac2x=1$, which isnt true

[ocean seal]

bunny

[alpine sable]

no 2/x is 2

[ionic jewel]

no it is not

[alpine sable]

o

[ionic jewel]

$\frac2x \cdot x = 2$

[ocean seal]

bunny

[ionic jewel]

you have to mutiply by x to get rid of the x on the bottom

[alpine sable]

oh yea

[plucky crow]

18/5+11/2

[alpine sable]

thanks we solved that tho

[plucky crow]

oh

what u solving now

[alpine sable]

this for now

[plucky crow]

so something + 3/4 = -5/2

[alpine sable]

when a fraction is negative does it mean that numeratior and denominator are both negative

[plucky crow]

no

just one

[alpine sable]

so what ur saying is

negative 5 / 2

[plucky crow]

if the numerator and denominator was negative both negatives cancel

[alpine sable]

and 2 is positive

oh yea...

wow im dumb

LOL

so its -5 and pos 2

[pliant ingot]

-5/2 is the same as 5/-2

[shut tartan]

A bag contains several balls. There are 4 red balls, 3 yellow balls, 4 green balls and 8 purple balls. If you pull out one ball from the bag, the probability, as a percentage, that you get a yellow or purple ball is

[plucky crow]

the answer is x + 3/4 = -5/2

solve for x

[shut tartan]

so do i jsut add the nubmers

?

i do fav divide by total and add the the 4 numbers>

?

[plucky crow]

add all of them

and divide the total by 3

4+3+4+8

is 19

3/19

[pliant ingot]

"yellow OR purple"

not just yellow

[plucky crow]

oh then add 8

[alpine sable]

what does it mean when a negative sign is in front of a fraction

[plucky crow]

it means either the top is negative OR the bottom

[alpine sable]

ohhh

ok

[shut tartan]

wait i add al

[alpine sable]

thanks

[shut tartan]

all of therm and i divide by 4

?

[pliant ingot]

you can just think of it as -1 * (fraction)

[pliant ingot]

can you move to a room that's open? someone was already here

[shut tartan]

so i do 19 divide by 4?

[alpine sable]

is the answer -13/4

[plucky crow]

yes

[plucky crow]

?

[plucky crow]

what question r u doing

[alpine sable]

it said the answer is -2 1/2

[shut tartan]

A bag contains several balls. There are 4 red balls, 3 yellow balls, 4 green balls and 8 purple balls. If you pull out one ball from the bag, the probability, as a percentage, that you get a yellow or purple ball is

this one

[plucky crow]

oh

so how many yellow and purple are there

11

so its 11 out of the total

thats the probably

then *by that by 100

for a percentage

if you roll a dice, whats the probaibility of getting a 6

its getting a 6

DIVIDED by the total

so 1/6

same thing here

[shut tartan]

how do i convert it into a perctnage

[plucky crow]

all probabilities add to 1

percentage is out of 100

so * by 100

to go from 1 to 100

[shut tartan]

yeah 57.9 percent

@plucky crow
If Event X = 0.22, Event Y = 0.41, and (A U B)' = 0.37, then Events X and Y are non-mutually exclusive.

You roll a die. Rolling an odd number or a prime number are mutually exclusive events.

Even odds means that favourable and unfavourable outcomes are the same.

You draw two cards out of a standard deck without replacement. Drawing a face card and then an 8 are dependent events.

can you tell me what are the false statements

[plucky crow]

statements that arent true

[plucky crow]

if they overlap

then theyre mutually exclusive

so if they overlap

x+y does not equal x and y

because theres the overlap that youre counting twice

but if they dont overlap

then x +y = the union

not union = 0.31

0.37*

so 1-0.37 = union

the union = x+y

so the first statement is not true

[shut tartan]

then the 2nd and 4th statements are untrue correct?

[plucky crow]

3 is an odd number and a prime, so the two probabilites overlap so they arent mutually exclusive

so 1 and 2 arent true

[plucky crow]

4 is true

you know what im just gonna give you the definition of the key words

so youc an do it yourself

mutually exclusive = there is no intersection in the probabilites if you draw a venn diagram, so one probability is has no relation with the other

dependent = the probability changes due to another probability,

[noble sinew]

look at 1 again - its event X, event Y and complement of A or B

[plucky crow]

so that probability happening only happens because of the change due to the first one

[noble sinew]

that statement is true

[plucky crow]

how is it true

[noble sinew]

they are not mutually exxclusive

[plucky crow]

thats what the statement says

they are arent they

[noble sinew]

if they were mutually exclusive

[plucky crow]

a union b is 0.63

make suvat equations for both i guess

find a using f = ma

[hybrid owl]

Did that too

[plucky crow]

did it not work?

show me ur working

[noble sinew]

then P(A^c and B^c)=0.37 not something with P(X^c and Y^c)=something

but okay it isn't always true but your argument is false

[plucky crow]

aub = 0.63 p(aub) = p(a) + p(b) - p(anb) = 0.63 = 0.63 - p(anb) = anb = 0 = mutually exclusive

[noble sinew]

events X and Y

not A and B

[plucky crow]

ok use x and y then

lol

[hybrid owl]

Oh sry, didn’t realise you asked for help here, didn’t mean to interrupt

[plucky crow]

just swap x and y for a and b

[plucky crow]

ill try in dms

[noble sinew]

that is not how it works

[shut tartan]

In the game of Bingo, there are 75 balls in a Bingo cage, numbered 1 to 75. One ball is selected at a time, and when a ball is taken from the cage, it is set aside before another ball is selected.

One ball is removed and then a second one is removed. Are these two events independent or dependent? Explain

is this dependent or indep

[noble sinew]

think about it logically first then preferably use definition of independence

[shut tartan]

its a independent event i think

[noble sinew]

lets say you start with drawing ball number 1 - what can we draw for 2nd draw then?

[shut tartan]

2-75

[noble sinew]

notice anything that changed?

[shut tartan]

less balls to choosed from so its an indepent even becasue it event 1 affects event 2

[noble sinew]

sounds like you mean dependent

[shut tartan]

yeah i mean its dependent

[noble sinew]

exactly so if we for example drew ball number 1 then the prob we draw the same ball number again has prob 0

so P(A)*P(B) is not equal to P(A and B)

which means from definition of independence that they aren't independent

[shut tartan]

What is the probability that the first ball is less than 20 and the second ball is greater than 70? Round your answer to the nearest two decimal places.

how would i do this

[noble sinew]

what is the prob the first ball is less than 20?

[shut tartan]

26.666666666666%

[noble sinew]

and the prob 2nd ball greater than 70?

[shut tartan]

im not sure do i use the dependent formula?

[bitter oracle]

can any body help?

whats the value of x

[noble sinew]

could - could also just think we now have 1 ball less left and we want either 71,72,73,74 or 75

[shut tartan]

ok so how would i asnwer the question

[noble sinew]

same way you found for 1st ball find it for 2nd ball

[shut tartan]

75 divide by 5?

[noble sinew]

how many balls are there left?

[shut tartan]

55 balls

[noble sinew]

if you had 75 balls and already picked 1 from 1st draw

how many balls are there left

[shut tartan]

74

[noble sinew]

indeed

[shut tartan]

so i would do 20/75 and 70/74 or 5

[noble sinew]

you wanted greater than 70

[shut tartan]

so 5/74

yeah?

i suck at probalbity lol

[noble sinew]

si

[shut tartan]

so there is a 0.2 chance ?

[timid wind]

can someone explain basic concepts on how to do these

[noble sinew]

,calc 20/75*5/74

[ocean seal]

Result:

0.018018018018018

[glass lichen]

$x\in\mathbb{Z}_{19}$ such that you get a multiple of 5 which is 6 more than a multiple of 19

[ocean seal]

Mosh

[glass lichen]

for part a

[timid wind]

?

[shut tartan]

it says to round it to two decimel places

[timid wind]

hmm

so what that mean

its 6?

[glass lichen]

list out numbers of the form 19n+6 for natural numbers n

[timid wind]

hmmmm

n can be anything

[glass lichen]

${6,25,44,63,...}$

[ocean seal]

Mosh

[shut tartan]

@noble sinew i got 0.02 because i rounded it to 2 decimel places

[noble sinew]

Otherwise you can solve it like normally - so normally you would isolate x so we can do the same here, however you need to use the multiplicative inverse of 5 to do that

So the number such that 5*y=1 mod 19

0.018 would be to 2 sf right?

[shut tartan]

Sf?

[timid wind]

can u explain tho idk

i dont ge it

[noble sinew]

@timid wind

[timid wind]

hm

i dont get can u explain in a simplier way

and how to find the answers

sry lol im stupid

[noble sinew]

If we just had to solve 5x=6 we would multiply both sides by 1/5 right?

[timid wind]

mhm?

wait are there multiple answers or only 1

[noble sinew]

No modulu stuff

Just a normal equation

[timid wind]

o

[noble sinew]

You would do that agree?

[timid wind]

ok keep going

yes

in normal equation

[noble sinew]

We can do the same here however instead of 1/5 we need the multiplicative inverse of 5 mod 19

[timid wind]

mhmhmhmhmhm

[noble sinew]

So the number in {1,2,...,19} such that 5*y=1 mod 19

[noble sinew]

Significant figures

[timid wind]

wait i watched a vid it says if it doesnt divide it has no solutions

[shut tartan]

Yeah it would be

[noble sinew]

It has a solution here

[noble sinew]

Can you find the value of y that makes this true?

[timid wind]

hu

wait so

x has to be below 19

because its mod 19

am i correct?

[noble sinew]

No

[timid wind]

huh

[noble sinew]

Can you do this?

[timid wind]

idk that way im watching a vid rn

[noble sinew]

It should take you 15 sec if you just start from y=1 and go on

And then you have the solution in 15 sec

[timid wind]

ah

1 2

i think

[noble sinew]

What does 1 2 mean?

[timid wind]

1, 2

for y

[noble sinew]

Remember 5*y=1 mod 19

[timid wind]

ye

[noble sinew]

Is 5*1=1 mod 19?

[timid wind]

wait

no

2

my bad

[timid wind]

=1????

[noble sinew]

Is 5*2=10=1 mod 19?

[timid wind]

i thought it was 6

[noble sinew]

We need this

[timid wind]

wait

sry i got confused

by 5^2 and 5*2

[noble sinew]

So this number

[timid wind]

k

y can equal 5

[noble sinew]

Is 5*5=1 mod 19?

[timid wind]

4

[noble sinew]

Feels like just random guessing at this point

But yes 5*4=20=1 mod 19

[timid wind]

no sry because the question asked 5x=6 i was confused

k

[noble sinew]

So that means if we multiply both sides by 4

[timid wind]

mhm?

[noble sinew]

Then we get 5*4=1 on LHS

[timid wind]

yes

[noble sinew]

So only x is left on LHS

[timid wind]

what does * mean again

multiply right

[noble sinew]

So 5x=6 <=> 5x * 4=6 * 4 <=> x=24

Yes

[timid wind]

ok....

is there anythin else

[noble sinew]

No so x=24=5 mod 19 is the solution

[timid wind]

hmmm

so thats another method of doing it

there should be other solutions tho right

[noble sinew]

If 5 is a solution then so is 5+19k

Because we are working mod 19

[timid wind]

yes

so thats the answer

[noble sinew]

Indeed

[timid wind]

so k E z

idk how else to write it

on pc

or aka k can be anything

[noble sinew]

An integer yes

[timid wind]

k

thanks a 5 minute tutorial is apparently better than a stupid 2 and a half hour math class

[rugged shore]

can anyone help me?

[alpine sable]

Did you pay attention in class or are you completely unsure of what to do?

Well this seems to be on the easier spectrum of uh.....whatever these are called

Most important thing to know is that each line is 180 degrees on either side

Think of it as a protractor

when u put a pencil in the middle, one angle is 90 and the other is 90 too

and if u put the pencil at the 170 mark, the other side is 10

and in the case of this question, the 95 degree you see will have an 85 degree where the 4 is because 95 + angle 4 has to equal 180

and adjacent corners will have the same measurement generally

i may be using the term adjacent wrong so ill explain it in another way

the 95 degree angle u see

angle 1 will also be 95 degrees

and then that will go in a zig zag pattern in both direction

[rugged shore]

i did not pay attention

[alpine sable]

well if ur confused by my explanation, look up a tutorial on YT

its the easiest thing you will ever learn in any grade

[rugged shore]

ok i think ill be good

[alpine sable]

👍

[timid wind]

wait so for questions like n(x) = p ( mod m)
and all of the variables are integers, the answer is always like that right

[random umbra]

hey guys, can anyone help me with a probability question?

[brave fossil]

i dont know how to do this question:/

[glass lichen]

know what f'' and concavity have to do with each other

[brave fossil]

i think

if f''>0 concave up

f''<0 concave down?

[glass lichen]

yes

one of the options says that

[brave fossil]

um

its f' not f''

or is there a step im missing

oh if f' is decreasing we know that f'' is less than 0?

so its concave down?

b?

[glass lichen]

yes

f' is decreasing -> f''<0

[brave fossil]

thank!

[rocky dock]

why didnt he add 2 to each side?

[wanton spoke]

hello. how can I find angles A, B, C, and D?

I already solved for others except for these angles

[ionic jewel]

A = 180-120

idk the name of the thm

then once you have A, you can use the line rule (add to 180) to solve for both C and B

once you have C you can use the same line thing to solve for the angle underneath C and D, then use that and B to solve for D

[wanton spoke]

where did 120 came from, sorry

[glass lichen]

supplementary angles

[ionic jewel]

its the 120 on the bottom of the image

appearently its a supplementary angle

[wanton spoke]

ohh yeah

alright, thanks

[rocky dock]

@wanton spoke it's fine now, but next time you have to make sure the channel is not occupied

[glass lichen]

Oh you meant that theorem, F pattern

[harsh acorn]

does anyone know any keywords I can type on bing videos so I can get an explanation of the question: 3(x-1)2 ?

[wanton spoke]

im sorry, what?

[rocky dock]

@wanton spoke

[ionic jewel]

you did this right, but $-3x+2 =0$ goes to $-3x = -2$ then $x = \frac23$

[ocean seal]

bunny

[rocky dock]

i had asked a question 2 minutes before you

[ionic jewel]

yeah

[rocky dock]

@wanton spoke

[ionic jewel]

you got it right

whats the questoin

[rocky dock]

@ionic jewel sorry, thats not my work. i was watching a video following along

why didnt he add 2 to each side

[ionic jewel]

in which part?

[rocky dock]

he adds a 3x

x-int:

[ionic jewel]

hes just solving $-3x+2=0$

why would he add 2 to each side?

[vague coral]

= *

[ionic jewel]

if you mean subtract 2 from each side, he does do that, then he divides by 3 immediately after (in the same step)

[ocean seal]

bunny

[ionic jewel]

good catch @vague coral

[rocky dock]

i know we come to the same answer but i was just confused as to why he subtracted 3x when most would do the number without the variable

@ionic jewel you see what i mean?

[ionic jewel]

oh you mean why he moves the 3x to the other side instead of the 2?

either way your work is the same way I'd do it so its fine

[rocky dock]

yes!

[ionic jewel]

he just chose to do it that way

they both work

[rocky dock]

ok, thats what i was confused about

thanks

[ionic jewel]

as long as you dont break the algebra rules you can do whatever you want to simplify

👍

[brave fossil]

so for this one

i differentiated f(x) and got 1-sin (x)

[fallen prawn]

is it D

[brave fossil]

isnt it E?

total = 11C7

then men= 5C3

[fallen prawn]

oh thank you!!

[rocky dock]

why isnt the range for the second graph (-∞, 4]?