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Arjun's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 5 adult tickets and 3 student tickets for a total of $58. The school took in $52 on the second day by selling 5 adult tickets and 2 student tickets. What is the price each of one adult ticket and one student ticket?
A light bulb manufacturer knows that 0.08% of all bulbs manufactured are defective. A testing machine is 98% effective. If a randomly selected light bulb is tested and found to be defective, what is the probability that it actually is defective?
in a test of a gender-selection technique 150 couples each have one baby and the results consist of 100 girls and 50
Find the value of the integral of g(z) around the circle |z - i| = 2 in the positive section when g(z) = 1/(z^2+4)
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
If the surface area decreases at 240 cm2/year due to corrosion, how fast is the radius changing when it is 30 cm?
Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
a larger number is one more than twice the smaller. if ten more than the sum of the numbers is equal to four more
A company's projected worth (in millions of dollars) is modeled by the equation y=231(1.04)^x. The variable x represents the number of years since 1997. What is the projected annual percent of growth, and what should the company be worth in 2007?
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground.
Given that the mean of a set of data is 25 and the standard deviation is 3, what would be the coefficient of variation?
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