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## Jim S.'s Resources

Hannah,             It's important to distinguish between the distribution of binge drinkers in the world and the distribution of sample means of size 900. From Wikipedia   the central limit theorem (CLT) states that, given certain conditions, the arithmetic...

Hi Rebecca,           There a multiple ways to form the groups of ten honor students all of which meet the stated constraints. Let S=#of seniors and J=#of juniors then   S     J 6     4 7     3 8    ...

First notice the factors of 12 are 6*2, 4*3,12*1 also notice the sum of 4 and 3=7 so the factors are (M+3)(M+4)   In general if the coefficient of the squared term is 1 then x2 + ax + b can be factored into (x+c)(x+d) if c+d=a and c*d=b so the trick is to...

Allen,         I order for the two cars to come to a dead stop after colliding the momentum of each vehicle had to be exactly equal in magnitude and opposite  in direction since momentum is conserved and it must have been zero initially so it will remain zero after...

Hi Kalista,   Lets do the second part first.   You want to use the Binomial distribution and we have 32 trials (each question is a trial and is either right or wrong) 60% of 32 is 19(rounded) and the probability of success is .5 (two choices and he just guesses)   In...

Jed,         The first thing to notice is that you can factor out a 2 which gives 2*(k2+2k+4) but the quantity in ( ) has no real factors?? Are you sure of the coefficients and signs?   Jim

Jose,       If you use the work-energy relationship we have:   Initial kinetic energy, Ki=(1/2)mVi2 Final kinetic energy, Kf=(1/2)mVf2  Let y= distance traveled by the arrow between the initial and it maximum height. We know equate the change...

Looks right so far A/B =(1/4)/(9/16)=(1/4)*(16/9)=4/9....make sense?   Jim

Hi,     The reason you are having a hard time finding the answer is that you weren't given enough information.   The average of a set of numbers, in this case the set of numbers would be the individual agents' commissions in May, is the total of the set divided by the...

This is not a trivial problem a good treatment of it can be found at http://www2.hcmuaf.edu.vn/data/phamducdung/thamkhao/truyendong/ly%20thuyet-truyendong/friction-rolling/Rolling%20Motion%20Continued.htm   Jim

Mike,         The number of ways of choosing 4 dems out of 8 is 8C4=70         The number of ways of choosing 2 reps out of 5 is  5C2=10   So the number of different 6 person committees having 4 dems and 2 repubs is 70*10=700 The...

Chad,           In order for a function to be a discrete probability distribution the elements must add to 1. So 4c+6c+2c+3c+5c=1 which simplifies to 20c=1 so c=1/20,,,,, make sense?   Jim

Chad,          The probability that at least one person of the 3 has type O blood is equal to 1-prob that no one has type O blood.   P(not typ O) =1-.38=.62 and P(no type O out of 3)=.623= .2383... so P(at least one)=1-.2383=.7616...   This...

Hi BryAnna,               The question asks: If you borrowed \$2300 at 7% per year interest and you agreed to pay it back in 9 years how much interest would you pay? The way loans work is the amount of your monthly payment (28.76 per month) is subtracted...

Dona,          The intuitive way to find the limit is to expand sin(x) in a power series around 0, i.e. sin(x)≈x-x3+x5/120+.....for x near 0. so sin(x)/x≈1-x2+x4/120+.... we can now take the limit limx→0sin(x)/x=1. QED :)   Hope this...

Cassie,          This problem is best done by starting with a tree with 3 branches, A,C &NM named for the states of manufacture. From each of the branches draw 2 branches representing D and notD. Put the fractions on each branch. So for example P(A)P(A/D)=.6*...

Kelly,          Using the definition of an average i.e. Xave=∑Xi /n where Xi are the individual data points and n=the number of dat points in the sample.   For our problem Xave≥93, n=6 and Xi=98,91,94,89,97,g  the equation is (98+91+94+89+97+g)/6≥93,...

Constance,              A Abs(62-71.4)=9.4 in   B.9.4/2.8 =3.357....   C.Z=(62-72.4)/2.8=-3.357..   D. since Z is outside the "usual" interval of -2 and 2 Johnson's height would be considered unusual.   Hope...

Two lines are parallel if their slopes are equal so the line we are looking for has a slope of -5/2 and must satisfy the following relation y-4=(-5/2)(x+2) this is the "point slope from"   so y=(-5/2)x-1 is the equation.   Hope this helps   J...