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Ok I think I have it now :))

It is noted that 8% of students are left handed. If 20 (TWENTY) students are randomly selected,

P( no one in a class of 20 is left handed) = 0.92^20            =  0.18869

P( one or more in a class of 20 is left handed = 1-0.18869 =   0.81131

(b) If 50 (FIFTY) classes of 20 (TWENTY) students are randomly selected, what is the probability that 10 (TEN) classes have no left-handed students?

P(10 classes of 20 students have no left-handed students)   

= 50C10 * 0.18869^10 * 0.81131^40

nCr(50,10) * 0.18869^10 * 0.81131^40 = 0.1369710474047608673359021944148508674768838

The probability is 0.137   

Thanks guest,

I do not have irish ancestry but I certainly enjoyed your offering of irish humour :))

=1 x 10^-6=0.000001

GingerAle: Since you are of Irish Heritage, here is some typical Irish Humour that you could share with family and friends:

A MOTHER'S LETTER

Dear Son.
Just a few lines to let you know that I’m still alive.  I’m writing this slowly because I know that you can’t read fast.  You won’t know the house when you come home, we have moved.

About your father.  He’s got a lovely new job.  He has 500 men under him.  He cuts grass at the cemetery.  Your sister Mary had a baby this morning. I haven’t found out yet whether it’s a boy or a girl so I don’t know if you are an aunt or an uncle.

I went to the doctors on Thursday and your father came with me.  The doctor put a small tube in my mouth and told me not to talk for 10 minutes.  Your father offered to buy it from him.  Your uncle Patrick drowned last week in a vat of Irish whiskey at the Dublin brewery.  Some of his workmates tried to save him but he fought them off bravely.  They cremated him and it took three days to put the fire out.

It only rained twice this week, first for 3 days then for 4 days.  We had a letter from the undertaker.  He said if the last payment on your grandmother’s plot wasn’t paid in 7 days, up she comes

                             Your loving mother.

P. S.  I was going to send you 5 pounds but I have already sealed the envelope.

Hi Cole :)

Also, if the square root is in the question the answer muct be positive.  This is by convention.

so although

\(4^2=16 \qquad    and\qquad (-4)^2=16\\~\\ \sqrt{16}=+4\)

Your posts are unmistakable Ginger.  :)

If you have had some posts disappear someone must have thought they were worth while scooby snacks, but to be fair scooby snacks come in many different flavours. :)

Your Dad sounds like a LOT of fun.  What a lucky child you were.   

I am a bit confused Ginger, does your cat share your banana daiquiri with you as you drip in the imperial minims of rum?

Sounds like it to me.  Does you daiquiri have the added flavour of cat fur ?

That is amazing you could tell it was me. I’ve made only a few posts using my account name and some as a guest. Some were snarky, trolling-posts and were deleted – they were not Scooby-snack-worthy.

My popping on and off happened because I logged on through a university library network.  I was going to post a question (details below) because my “private tutor” was off the grid.  When I realized I couldn’t log on, my Irish temper took over and I flamed the post with two of Naus’ thermonuclear grenades of humor and fire. It did cheer me up. It was still anonymous 10 hours later when I checked for responses.  It’s not beyond me to post something like this with my name attached, but it’s kind of dumb to do it and expect anything except an in-kind retort. 

When I was 7-years-old, I learnt it was much more fun to sneak a cookie than to ask. My mom and dad were amused by behavior, but my dad, being somewhat of a practical joker, stuffed a jack-in the-box, springy, caterpillar in the cookie jar. On top of that, he hid in the pantry with a cookie monster mask.  I managed not to drop the cookie jar when the caterpillar popped out, but when cookie monster jumped out of the pantry, the last thing I remember before fainting, was throwing the cookie jar at him, which he caught (it was Rubbermaid—my mother is a smart cookie).  I’m sure my father was more scared than I was at that point. 

I didn’t eat any cookies for weeks afterward.  It was at least a year before I again started sneaking cookies, but I carefully and slowly opened the jar. To this day, after more than 20 years, I still half believe something will jump out whenever I open a cookie jar. 

Hi 315 :)

Let K be the average number of Kilometres per year

Let C be the yearly compensation

The first one,

C1 = 0.223K+2000

when k=18000    C1= 0.223*18000+200 = 4214

The second one, 

C2 = 0.32K

When K=18000  C2=0.32*18000 = 5760

So at 18,000 km per year the second one gives the better compensation

The reimbursements will be the same when  C1=C2

0.223K+2000=0.32K

             2000= (0.32-0.223)K

2000/(0.32-0.223) = 20618.5567010309278350515463917525773195876288659793814432989691

the reimburements will be the same if the annual distance travelled is  20619 km

Here is the graph :)

Thank you for the reply. I actually did find these numbers, but not directly. I did this by creating a spread sheet starting with a value of X and incremented each successive value of X by multiplying by 1.05. I also kept a running total.  When the 10th value = 100,000,000, I knew that was the correct starting value. (The 10th value was actually = 100,000,000.04 – a rounding error, I guess).  It took about a half-hour to zero in on the starting value.

What I didn’t know how to do was find the starting value directly. Even though it is not an interest rate problem, I tried using the present value formula, with the interest rate set at 105% per year with a FV set at 100,000,000. . . . Nope! Not even close.  I tried adjusting the “interest rate” by using a harmonic average, geometric average, and the median.  Nope!

Now that you‘ve pointed out this is a geometric series, I read the wiki on this subject and found the formula relating to this.

Because: 4 x 4 =16 !!!. What number did you have in mind as the correct answer?

Oh, I hadn’t put the rum in it, yet. This banana daiquiri recipe calls for 80 ml of rum which is too much for me –and my cat :). I drizzle the rum (a few dozen imperial minims at a time) on top as I drink it. I drink this slowly otherwise it gives me a “brain freeze” headache.  My cat seems immune to these, but he wouldn’t be immune to the alcohol in the rum, though he probably could handle it better than me.

I am of very Irish heritage but I didn’t inherit much of a tolerance for alcohol. I would get a light buzz from just a few sips of communion wine.  In the scheme of life, this is probably a good thing.

sketch the triangle.

Remember that the longest side is opposite the biggest angle and vise verse.

Use the cosine rule

NO # 2 IS CORRECT! COUNT FROM LEFT UNTIL THE DECIMAL POINT. THAT NUMBER WOULD BE THE EXPONENT OR POWER OF 10.

3-3*6+2

=3 - 18 +2

=  -13

0+1-1+1-1+1-1+1-1x0

=0  +1-1    +1-1   +1-1   +1-1x0

=0  +0    +0  +0   +1-0

=1

Sorry, I am not sure how to do part b - I am still considering . ://

I may answer it later.

(a/b), when a is the numerator and b is the denominator.

which is correct? xD

3/4 * (2 4/6) = Turn the mixed fraction into an improper fraction:

3/4 * 16/6 =

48/24 =2

thank u for your helping!!!

i got it!

and then (b)question is what mean ,i dont understand and i dont know how to do it

Hi Why

I am on my phone do layout is difficult.

P of no lefts = 0.92^20

P ( at most 2 lefts )

=P ( no  lefts )+P ( 1 lefts )+P ( 2 lefts )

=20C0×0.92^20+20C1×0.08×0.92^19+20C2×0.08^2×0.92^18

Etc

Mean=20×0.08

SD=sqrt( 20×0.08×0.92  )

There are a number of ways of solving this question using only TVM formulas. But at least 2-3 of them would have to be used to solve this. Most of these TVM formula use PV to find the amount of the loan. But here, I'm going to use "Summation Formula" and have a solver such as Wolfram/Alpha to give an instantaneous answer.Here is the "Summation Formula":

∑[(200+10n) /1.005^(n+1), n=0 to 59] =$24,831.57 Is the loan that Joe can afford.

Simplify the following:
2/3-1/2-5/7

Put 2/3-1/2-5/7 over the common denominator 42. 2/3-1/2-5/7  =  (14×2)/42-(21)/42+(6 (-5))/42:
(14×2)/42-(21)/42+(6 (-5))/42

14×2  =  28:
28/42-(21)/42+(6 (-5))/42

6 (-5)  =  -30:
28/42-(21)/42+-30/42

28/42-21/42-30/42  =  (28-21-30)/42:
(28-21-30)/42

28-21-30 = 28-(21+30):
28-(21+30)/42

 | 3 | 0
+ | 2 | 1
 | 5 | 1:
(28-51)/42

28-51  =  -(51-28):
-(51-28)/42

 | 4 | 11
 | 5 | 1
- | 2 | 8
 | 2 | 3:
Answer: | (-23)/42