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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? 4 decimals.
how green theorem is applicable in finding the area of region? use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x=a(t-sint), y=a(1-cost)
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
A colony of bacteria increases according to the law of uninhibited growth (exponentially). How long will it take for the size of the colony to triple?
The perimiter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and width?
If the televison camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing in radians/s at that moment?
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.
the perimeter of a rectangle is 54 feet. describe the possible lengths of a side if the area of the rectangle is not to exceed 152 square feet.
This year, 230 million test kits are expected to be sold. this represents a 122% increase from the number of kits that were sold last year. How many medical test kits were sold last year?
Find the prime of function
A projectile is fired straight upward from ground level with an initial velocity of 112 feet per second. At what instant will it be back at ground level?
A Norman window consists of a rectangle surmounted by a semicircle. The window has rectangular portion of the window has width 4" and height 6". (a) Find the area of the window. (b) How much wood trim is needed to boarder the window?
If an open box has a square base and a volume of 97 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
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