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Suppose CUNY professors have an average life, normally distributed, of 80 years with a population standard deviation of 9 years.
a) What percent of CUNY professors will live more than 86 years?b) What percent of CUNY professors will not make it past the age of 50?c) Calculate the 96th percentile.d) Calculate the 5th percentile.e) What proportion of CUNY professors will live between 75 and 85 years?
a bicylclist races on a bicycle with 14-inch0radiuswheels. when she is traveling at a speed of 45 ft/sec, how many revolutioins per minute are her wheels making?
the perimeter of a standard high school basketball court is 268 feet. the length is 34feet longer than the width. Find the dimension of the court.
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
Find the number of pitchers that she should produce and the price she should charge in order to maximize profit. Also find the maximum profit.
The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.22 mm.
A particle is moving along the curve y= 2 sqrt{4 x + 4}. As the particle passes through the point (3, 8), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this i..
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
How would you find the definite integral for the following functions: f(X) = 67 over the interval [0,1]
If 9 less than the product of a number and -4 is greater than 7, which of the following could be that number?
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
The length of one leg of a right triangle is twice the length of the second leg. The hypotenuse is 15 meters. Find the length of the two legs.
Use Equation Editor to write mathematical expressions and equations when completing Appendix E.
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