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Answers by Jim S.

N^3+N^3=N^3 (answer)

Hi Explorer,             The equation you have N2+N2 =N2 is not the same as x2+ y2=z2 , the first one has no solution because there is no real number that when you square it and double it is equal to the number you started with squared...

Hi Hannah,            We are talking about the mean or average of 4 measurements taken from a population whose mean and standard deviation are known i.e. μ=122 and σ=12. These are called the population parameters and are symbolized using greek letters...

Brandon,               Earnings or profit P = R-C as you stated above so P=50x-.0004*x2-10x-130,000 =40x-.0004*x2-130,000 Hope this helps Jim

Hi Vo,         I'll try and get you started first we can put the above equation in the following form which will help when we try and find a solution.                               (x+sin(y))dx...

Drawing line (answer)

Deirdre,             Aline with a negative slope means that for every positive increment in x there will be a negative increment in y.For example a line with a slope of say -3 will have an equation y=-3x so for x=1 y=-3 and for x=2 y=-6. so you can see that for...

Chi Square (answer)

Hi Syed,         The chi sq tests whether the observed frequency is statistically the same as the expected frequency or not. In this problem the expected frequency is 200*.5= 100 left turns, 50 straight and 50 right turns. The observed are 90 60 50   Next you...

Andrew,             This is the notation that tell you that the random variable X has been chosen from a normal distribution with a mean of 12 and a variance of 64. Since the variance is 64 what is the standard deviation (s2=64). Since we are dealing with a...

4cos^2(4x)-3=0 (answer)

Hi Cece,         There are two ways to verify if π/12 is a solution. The easiest way is substitute π/12 in the equation. 4*cos2(4*π/12)-3=4*(1/4)-3=-2 which is not zero so you can conclude that π/12 is not a solution and the answer is false. The other...

Antara,             The index of refraction is defined as the ratio of the sped of light in a vacuum to the speed of light in the meduiu of interest, in the is case diamond.   So n=c/v, n= index, c=speed of light and v= speed of light in diamond...

Antonio,              I'm assuming the Z you refer to is the Z statistic of the normal distribution, if that is correct then you can look at any table of the area under the normal curve and you will find the area to the right of 1.43 is .0736.  ...

Hi Keisha,         The correlation coefficient is a measure of how much of the deviation is explained by the model. So the .7 would generally appear as a "tighter" fit of the data around a plot of the regression line than the R2 of .4. The b coefficient of each...

Probability (answer)

Shannon,                There are 8C4=70 ways to choose 4 balls out of 8 balls and there are 5C4=5 ways to choose 4 blue balls out of the five available so the probability they are all blue is 5/70=.071.   Hope this helps &n...

Zandalee, (interesting name)       We usually model radioactive decay with an exponential model A(t)=A0*e-kt where A0 is  the amount present at t=0 and k is a constant. The half-life is the time it takes for an initial amount to defy to 1/2 it's initial value.   So...

Samantha,             You have _ _ _ _ _ spaces to fill with 3 4 4 so there are 3 choices for the first space, 3 choices for the second, 3 choices for the third......3 choices for the fifth space Using the fundamental rule of counting you have a total of 3x3x3x3x3 or...

Katie,        I'll outline how to do problem 1. the other two are very similar.   19  Frozen dinners 10  Pasta   6  Chicken   3  Seafood   Select 5 at random find p(that at least 2 are pasta}   we...