All Answers 356458 Answers

If 12 and 15 are factors then LCM(12,15)=60 is a factor

Thus 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

are the 12 factors of x=60

1) for each possible roll of 2 dice determine the absolute difference

2) for each value generated in (1) count the number of times it occurs.  Divide this count by 36.

This is the probability that this absolute difference occurs.

3) What you now have is a distribution on the absolute difference

4) multiply each value by it's probability and sum up the results.  This is the mean value.

5) multiply each value squared by it's probability and sum the results.  The is the expected value of of the absolute difference squared.

6) Find the variance as The number you found in (5) minus the number you found in (4) squared.

i.e. var = E[|roll diff|²] - (E[|roll diff|])² 

7) standard deviation is the square root of variance

Im sorry I still dont understand!! Can you please explain how you got that. I have a assignment due every week in this class and its online. Ive took many online classes but i now know cant teach myself Math :/ 

\(\text{The largest angle is opposite the longest side}\\ \text{Use the law of cosines}\\ c^2 = a^2 + b^2 - 2 a b \cos(C)\\ \text{Where }c \text{ is the length of the longest side, and }\\ a,b \text{ are the lengths of the other two sides}\)

The answer is 'K'    This equation is a dome shaped parabola....when you change 'c' you shift it up or down and thus the h and the t and the max height change....take a look at this example....only the 'c' value changes in the two graphs:
 

reeeeeeeeeeeeee

thats a hard one

Thanks :D. Really helpful. I didn't realize that you should sqrt the equation to find out the equation for a rooted complex number :D

Okay thanks.  That was right!

P(none are defective)  = (.99)^5  ≈  .95  ≈  95%

P( more than 2 are defective)  =

P(3 are defective) =  C(5,3)(.01)^3(.99)^2 

P(4 are defective) = C(5,4)(.01)^4(.99)

P(5 are defective) = C(5,5) (.01)^4

Sum these probabilities  ≈  9.85 * 10^(-6)    (almost 0 probability that more than 2 are defective)

What do you mean by "Circumference of the sum"

What are the values of my question marks ?

Ask questions on your original post.

-1.4    is the same as   -1 4/10   as a mixed number=   -14/10  =   - 7/5

Unsure about this...but....here's my best attempt

Angle ABC  =  (1/2)(16/21)(360)  =  960/7°

Angle PBC = [ 180 - 960/7]° = [300/7]°

Angle DCB =  (1/2)(8/21)(360)  = 480/7°

Angle PCB = [ 180 - 480/7] = [780/7]°

Angle BPC =  180 - [ 300/7] - [ 780/7]  = [180/7]°

3/sin (BPC)  = PB / sin (PCB)

PB  =   3*sin(780/7) / sin(180/7)  ≈  6.44

If these are your points   4,5      5,6    and   7,2     then, yes it is a right triangle

Side 1  = sqrt( (4-5)^2 + (5-6)^2) = sqrt 2

Side 2 =sqrt( ((4-7)^2+(5-2)^2) = sqrt 18

Hypotenuse = sqrt( (5-7)^2 +(6-2)^2 ) = sqrt 20

side 1 ^2 + side2 ^2   = hyp^2     Yep, it is a right triangle!

let x be the number of fish with one strip and y be the number of fish will two stripes.

You have 

x+y = ?

and

x+2y = ?

Fill in the question marks and then solve the equations simultaneously.

Please no one answer over me.

-1 as a fraction is the same thing as -5/5. .2 goes into -.4 -2 times, while it goes into 1 five times. So you have -5/5 + -2/5 = -7/5

Hope this helps!

Rom can you please look at this for me?   

Jtbreezii, if you want to ask a new question you need to make a new post.

But I am interested in this one.  I think it is confusing too.

A manufacturer of phones realizes a profit of $350 for each telephone sold. However, defective phones can not be sold and cost $700 to produce. Find the expected profit if the probability that a phone is defective is 2.5%

Say the company makes 1000 phones 2.5% of them are faulty 

2.5% of 1000=25 phones

So they have really only made 1000-25=975 phones that will be sold

The cost to make them was   700*1000 = $700 000    (even the faulty ones had to be made.)  [don't actually need this]

The expected profit on a production of 1000 is  $350*975 = $341 250  (Remember that only 975 of them are sold.)

Expected profit on each  phone is  $341 250 / 1000 = $341.25

Rom I do not understand why you would take away $17.50 from this  ???????????

Rom's answer is different from mine and I would believe Rom over me.    

First one

From O.....draw a perpendicular bisector to chord DC...to meet DC at E

OE =  BA = 12

And DE  =  9

And....using the Pythagorean Theorem.....radius  OD =

sqrt ( OE^2 +  DE^2 )  =   sqrt (12^2 + 9^2 )  =  sqrt ( 144 + 81)  =  sqrt (225) =  15