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a rectangle has a lenght that is 3 feet more than two time the width. the area of the rectangle is 152 ft^2 draw a daigram of the rectangle write an equation from the diaphram determine the dimension of the rectangle
a kite is currently flying at an altitude of 17 meters above the ground. if the angle of elevation from the ground to the kite is 30 degrees, find the length of the kite string to the nearest meter.
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
Apply normal distribution methods to approximate this binomial distribution.
What is the probability density function for the lifetime of the machine assuming that it will only function if all 10 components are working. The pdf for one component is f(x)=Ax(12-x) for 0
Two trains leave stations 266 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hour How long will it take for the two trains to meet?
What is the ant's linear velocity? Include appropriate units in your answer.
A chemist needs 140 ml of a 66% solution but has only 51% and 93% solutions available. Find how many ml of each that should be mixed to get the desired solution.
The BETWEEN groups sum of squares was calculated to be 1,892.6, and the WITHIN groups sum of squares was calculated to be 14,482.9. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.
A fluid has density 4 and velocity field v=-yi+xj+4zk. Find the rate of flow outward through the sphere x^2+y^2+z^2=16
Solve the following problem by simplex method
at the instant when the water is 5 m deep find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 m/hr.
cylender find the shaded area diameter small inside cylender is 1 and the height is 5 the shadded area the radius is 3 and the height 5 what is the shaded area.
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