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A radio disc jockey has 8 songs on this upcoming hour's playlist: 3 are rock songs, 2 are reggae songs, and 3 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are country songs? Write your answer as a fraction in simplest form.
Express the construction cost of the box as a function of the length of its base.
seven women and nine men are on the faculty in the mathematics department at a school.a how many ways are there to
Which of these best represents how much the manager will save on milk each day if she buys the milk in 1-gallon containers?
Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
The number of rabbits in a forest varies with time. During the period of 1980 to 1990 the number is given approximately by the formula where t is the number of years after 1980. (a) Sketch on graph paper the population during 1980-1990
One day, a person went to horse racing area, Instead of counting the number of human and horses, he instead counted 74 heads and 196 legs. Yet he knew the number of humans and horses there. How did he do it, and how many humans and horses are ther..
What is the value of an annuity at the end of 5 years if $125 is deposited monthly into an account that pays 8% compounded monthly? Calculate the amount of interest earned.
The cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side. What are the dimensions of the least expensive can?
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
A small business has an average income of $3,000.00 per month with a standard deviation of $250.00. If the income in a given month is $3,300.00, what z-score corresponds to this value?
Use implicit differentiation to find an equation of the tangent line to the hyperbola at the point (6, 8)?
The formula d = sqrt 15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
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