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1. Find the area of a sector having a central angle of 60° in a circle of radius 8 inches.
2. Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
3. A point on the wheel of radius 10 feet moves with a linear velocity of 40 feet per second. Find the angular velocity of the wheel in radians per second and in RPM
4. Find the speed in radians and in degrees per second of disc revolving at 90 RPM.
5. A belt moving at 60 feet per second drives a pulley at 240 RPM. Find the diameter of the pulley
6. A car's wheel is 3 feet in diameter. Find its angular velocity if the car travels at 60 miles per hour.
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!"
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
Information about "Poisson Distribution". During cross country pipeline construction, day production rates of more than 120 girth welds are not unusual. On pipe laying barges operating around the clock,
The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
Flying with the jetstream, the same jet travels 4600km in 4 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?
Find p-value and interpret its meaning
Define the function f: (0, 1) -> A as follows: For x in the open interval (0,1), let f(x) be the element of A with the property that for every positive integer k, the digit i_k in the kth decimal place of f(x) is the least i in I such that x has a..
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
Three balls are to be randomly selected with replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the drawn balls
Finding the density of y and then finding the expectation and (b) using theorem A
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