Search 74,153 tutors
FIND TUTORS

John M.'s Resources

Answers

Cashlin, these kind of problems involve converting the ratio or percentage into a number of people.  Check your numbers though, my math is giving me fractional people, which is always suspect in these kinds of problems).  There are often faster ways to do these kinds of problems for...

Answers

Edward,   1st, recognize that csc=1/sin and sec=1/cos.  So we can simplify the equation to sin(6b+pi/8)=cos(2b-pi/8).  Generally trig problems are easier if you convert everything to sines and cosines.   2nd, sin & cos are 90 degrees out of phase or pi/2...

Answers

Brenda, the key is to recognize that you need to convert the percentages into amounts.   You start with 2 quarts of liquid that is 25% antifreeze, or you have 2 x .25 = .5 quarts of antifreeze to start with.   You are going to add another amount of liquid that is 100% antifreeze...

Answers

Todd, the key is to translate the sentences into equations. Let's define L=Length of the rectangle and W=Width of the rectangle   The word "is" tells you where the equals sign is.   Your first sentence translates: (a rectangles length) [is] 8 cm more than...

Answers

Emily, the key is to turn this geometry problem into a 2-equation / 2-unknown algebra problem. A = Angle S = Supplement   A + S = 180 degrees (definition of supplementary angles) S = A - 78 (The supplement (S) has a measure (=) of the angle (A) less 78)   Substituting...

Answers
Statistics (answer)

Anna,   There is a good explanation of the model I'm using below at http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0CCsQFjAA&url=http%3A%2F%2Fwww.csus.edu%2Findiv%2Fb%2Fblakeh%2Fmgmt%2Fdocuments%2FOPM101SupplC...

Answers

Jeff, I think you have an error in your transcription   Take a look at this link   http://www.numberempire.com/graphingcalculator.php?functions=%281%2Bsin%282*x%29%29%2F%281-sin%282*x%29%29%2C%28cot%282*x%29^2%29&xmin=-3&xmax=3&ymin=-3&ymax=3&var=x   I've...

Answers

Heather,   Drexel has a good webpage describing the calculations using matrix algebra at https://www.math.drexel.edu/~jwd25/LM_SPRING_07/lectures/Markov.html   If its a little to technical, I'll summarize as needed for your problem   Given a transition...

Answers
can someone help (answer)

Heather,   We need a matrix where the items are each Probabilities (P), P(i,j), where P(1,2) is the probability of going from group 2 to group 1 in one step so P(F,C) is the probability from shifting from a Chevy to a Ford and P(F,F) is the probability of staying with a ford. ...

Answers

Vivian, this involves reverse engineering the solution.  In your previous problems you had a known sample size and wanted to compute the confidence interval, now you know the interval, and want to compute the sample size.   Standard Error of the Mean (SEM) = σ/√n   Confidence...

Answers

Vivian, the Standard error of the mean (SEM) is the standard deviation (s or σ) divided by the square root of the sample size or in this case σ/√n = 0.001/√8   Since we are given the population standard deviation (σ, rather than s), you can use a z-table value for the 99% confidence...

Answers

Vivian,   Generally, margin of error and confidence intervals require knowing not only the mean and the sample size, but the standard deviation (of either the population or the sample).   The formula for standard error of the mean is the standard deviation divided by the...

Answers
Kx^2-16x+32=0 (answer)

Mol, for the roots to be equal their factored equations have to be the same, i.e. in the form of (ax+b)^2=0 or a^2x^2 + 2abx + b^2 = 0, so if we replace the numbers in front of the x terms in the given equation with the coefficients above, we'll get 3 equations:   a^2=k, 2ab=-16,...

1 2 3 4 5