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A study conducted at a certain college shows that 64% of the schools graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
A poster is to have an area of 160 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
A closed rectangular box having a volume of 7 ft3 is to be constructed. If the material for the sides costs $1.2/ft2 and the material for the top and bottom costs $1.3/ft2, find the dimensions of the box that can be constructed with minimum cost. ..
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
The perimeter of a square garden is 248 metres. What is the length of each side?
A building casts a shadow 345 ft long when the angle of elevation of the sun is 48°. Find the height of the building.
A helicopter flies 192 miles against the wind in 2 hours. With the wind, it can fly 288 miles in the same amount of time. Find the speed of the helicopter in still air.
Suppose that he must add the same number of bags to each side. How many bags must he add to each side in order to balance the scale?
The displacement s cm of the end of a stiff spring at time t seconds is given by: s = a (e^-kt) sin 2πft. Determine the velocity and acceleration of the end of the spring after 2 seconds if a = 3, k = 0.75 and f = 20.
Find the resultant (sum) of the complex numbers. Express in rectangular form
A recent survey showed that among 2013 randomly selected adults, 1358 (or 67.5%) stated that they are Internet users (based on data from Pew Research Center). If the proportion of all adults using the Internet is actually 2/3
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