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Enter sin(8+25/60+30/3600)  

(make sure the calculator is in degree mode).

.

\(\frac{3}{12}*\frac{4}{11}*\frac{5}{10}*6=\frac{36}{132}=\frac{3}{11}\)

4x + 5 – x – 7 = 10

4x - x = 10 + 7 - 5

3x = 12 divide both sides by 3

x = 12/3

x = 4

ANYTHING divided by ZERO is an error...it is undefined and not allowed.

512 * 10^9

7r+86=10r-35

7r-10r=-35-86

-3r=-121

-3r/-3=121/-3

r=40.3

Updated perspective:  If we can keep the disciminant (b^2-4ac) from being ZERO or a perfect square the quadratic will not have integer roots...... I tried to 'brute force' my way through the combinatins, but it was tedious  (kept running in to integer roots)....there must be another way...an Excel spreadsheet would be nice !  LOL

2x10^30  /  3x10^-27

I expect that you mean

(2x10^30 ) / ( 3x10^-27)

\(= (2/3)     *     10^{30--27}\\ =0.\dot6*10^{57}\\ =6.\dot6*10^{-1}*10^{57}\\ =6.\dot6*10^{56}\\\)

A man has a two pairs of black shoes and three pairs of brown shoes. He also has three pairs of red socks, four pairs of brown socks, and six pairs of black socks. If he chooses a pair of shoes at random and a pair of socks at random, what is the probability that he chooses shoes and socks of the same color?

A schoolboy wakes up late on average of 3 days in every 5 days. If he wakes up late, the probability that he is late for school is 9/10 . If he does not wake up late, the probability that he's late for school is 3/10 . On what percentage of days does he get to school on time?

4×(-p)

= 4 × (-1) × p

= -4×p

= -4p

Let P(E) denotes the probability of event E happening.

 P(takes train to work)

\(=\dfrac{3}{7}\times \dfrac{1}{10}+\dfrac{4}{7}\times \dfrac{3}{9}\\ =\dfrac{3}{70} + \dfrac{4}{21}\\ =\dfrac{7}{30}\)

Let P(E) denote the probability of event E happening.

P(He drives to work)

 \(=\dfrac{3}{7}\times \dfrac{2}{10}+\dfrac{4}{7}\times \dfrac{5}{9}\\ =\dfrac{127}{315}\)

therefore number of days he is likely to drive to work = 315 x 127/315 = 127 days. :D

~The smartest cookie in the world.

P(get to school on time)

= 1 - P(late for school)

= \(1- \left(\dfrac{3}{5}\times \dfrac{9}{10}+\dfrac{2}{5}\times \dfrac{3}{10}\right)\\ \)

= 17/50

Therefore percentage of days he gets to school on time is 17/50 x 100% = 34%

Two dice are thrown together. 
Use a tree diagram to find the probability that both numbers are less than five.

Poor Adam, I do not think he is handsome at all!  

Like most 'people', he would look far more handsome if he was fashionable covered !!

When  he took on Occam's razor, he definitely  LOST!!       

Poor poor Adam :((  

I'll let you fill in the "tree" part

      cooks pasta                                     doesn't cook  pasta

            1/7                                                            6/7

   2/3                 1/3                                   1/4                  3/4 

ice cream      no ice cream                    ice cream       no ice cream

P [ice cream]  =   (1/7)(2/3)  + (6/7) (1/4)  =     2/21  + 6/28  =

                              2 / 21   +  3 / 14      =     [28 + 63] /  294  =

                              91 / 294   =  13 / 42   ≈ 30.95%

Two dice are thrown together. 
Use a tree diagram to find the probability that one number is even and the other is odd.

Oh, that’s Cousin Adam. He’s a nudist. Rather handsome, I think.  I’m wondering if I would recognize him if he had fur on. 

The biographies, published anecdotes from family and friends, and personal letters indicate a great love and devotion between them.   His wife lamented to him that he often worked all night and slept all morning.  To me, her lament seems more like a tease than a nag.   

The one thing Bell did not like was a telephone. He would disconnect it because he didn’t want to be disturbed. Joseph-Ignace Guillotin didn’t much care for his invention either. 

No, thanks....I have plenty.....

See ????

Would you like to borrow my glasses Chris ???

All true, GA......however.....I believe that at least one of your chimps had a brief fling with Occam's Razor.....

The results got mixed reviews :

Mmmmm...he bears a faint resemblance to Sisyphus......except more handsome.....

My last answer is not showing up in the answer list :(  

That is becasue I wrote it while I was logged into the German forum I guess.  Interesting :///

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