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1. In a right triangle with an acute angle?, if cot ?-7/3, find sin?. Leave the answer as a fraction in exact form - do not round and draw a diagram.
2. What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
3. The city of Pittsburgh, Pennsylvania, is directly north of of West Palm Beach, Florida. Pittsburg is at 40° 18´ north latitude, while West Palm Beach is at 26° 24´ north latitude. Assuming the Earth has a radius of 3960 mi, how far apart are these cities?.
Find the least squares approximation of e^x over the interval [0,1] by a polynomial of the form ao+a1x. Find the mean square error of the approximation.
Calculation of Probability - Normal Distribution - find the probability that a randomly selected employee
Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
How many passengers are required in the sample to reduce in half the sampling error within which we need to estimate the proportion of passengers who had purchased tickets for more than $400 over a year's time?
Show that == (where == is the equivalence relation defined below) is an equivalence on A, and find a (well-defined) bijection %: A== -> B, where
A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
Kent worked in the housewares section of a department store. This year he set a record high for vacuum sales with 567 vacuums sold. The previous high was last year, when 540 vacuums were sold. What is the percent of increase in sales from last yea..
The strategy that maximizes the campus bookstore earnings.
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get (a) a pair
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
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