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The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75?
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
Real Life Application of Linear Eqations : A mathematician has developed a model indicating a woman with x years of education can expect to earn y = 1200x + 6300 dollars a year.
Adams High School has 151 freshman, 198 sophomores, 221 juniors, and 242 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..
A rectangular page is to contain 52 square inches of printable area. The margins at the top and bottom of the oage are 1 inch, one side margin is 1 inch and the other side margin is 2 inches. What should the dimensions of the page be so that the l..
A pendulum swings through an angle of 20° each second. If the pendulum is 55 inches long, how far does its tip move each second? If necessary, round the answer to two decimal places.
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
Different ways to schedule appearances of 4 performers. There are 4 performers who will present their comedy this weekend at a comedy club
A palindrome is a number such as 131 that reads the same backward and forward. How many 3-digit palindromes are there between 100 adn 200 and what are they?
A particle is moving along the curve y=35x+1 . As the particle passes through the point (312) , its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
write the related multiplication or division sentence. draw a quik picture that shows the sentence.
Find the points of inflection and discuss the concavity of the graph of the function f(x)=(x-2)^3(x-1).
The life span of television sets built by a particular manufacturer is normally distributed, with a mean of 10.2 years and a standard deviation of 1.7 years. The manufacturer will replace a television set if it breaks before the guarantee period i..
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