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Write an equation and solve: The cellular phone service for a business executive is $30 per month plus $.50 per minute of phone use. In a month when the executive's phone bill was $67.50, how many minutes did the executive use the phone?
a. 75 minutesb. 85 minutesc. 95 minutesd. 105 minutes
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
Binomial distribution with parameters, Suppose only 70% of all drivers in a certain state regularly wear a seat belt. A random sample of 500 drivers is selected. What is the probability that
The following data sets shows the ages of the first seven presidents (president washington through president jackson) and the seven most recent presidents including president obama. Age is given at time of inauguration.
Find the principal amount
A new bone study is being planned that will measure the biomarker TRAP described in Exercise 6.17. Using the value of σ given there, 6.5 U/l, ?nd the sample size required to provide an estimate of the mean TRAP with a margin of error of 1.5 U/l fo..
What is the line of symmetry? Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h)2 + k.
Adams High School has 165 freshman, 177 sophomores, 214 juniors, and 227 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
Find the eigenvalues and eigenvectors.
Investigate the presence of limit cycles both analytically and numberically and investigate the presence of homoclinic/heteroclinic orbits and global bifurcations numerically.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
If f is a reimann integrable function on [a,b], and if [c,d] is a subset of [a,b], prove that f is reimann integrable on [c,d] hint: if P is any partition of [c,d], P can be extended to a partition P* of [a,b] with ||P*||
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