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Job offers for a college graduate arrive according to Poisson process with mean 2 per month. A job offer is acceptable if the wages are at least $32,000.
A rabbit moves at 7 m/s and a tortoise at 0.05 m/s. They are 90 m apart when they start to move towards each other. How far has the tortoise moved when they meet.
The maximum patent life for new drug is 17 years. Subtracting length of time needed by the FDA for testing and approval of the drug provides the actual patent life of the drug-that is, the length of
Find the derivative of the following functions:
A family drives at average rate of 60mi/h on the way to visit relatives and then at an average rate 40mi/h on the way back. The return trip takes 1h longer than the trip there.
A slow train travelling at 25 km/h leaves station 1/2 h before another train travelling at 40 km/h. If the trains travel in the same direction on parallel routes, when does the faster train pass th
Bret started upon a 80-mile bicycle ride at 19 miles for each hour. After time he became little tired and slowed down to 12 miles per hour for the rest of the trip.
A passenger upon the front train A observes that he passes the complete length of train B in 33 seconds when traveling in the same direction as B and in 3 seconds when traveling in the opposite dir
amika is restoring an antique storage chest that is in shape of a rectangular prism. She is painting the outside only of the trunk. The trunk is 4 feet long, 18 inches wide, and 2 feet tall.
Determine the probability that the voltage regulator fails throughout your ownership? (Round the answer to 3 decimal places.) If your regulator fails after you own automobile three years and it is re
Assume the counts recorded by Geiger counter follow Poisson process with the average of two counts per minute. Round the answers to 3 decimal places.
Assume that U and V are isomorphic vector spaces. Prove that there're infinitely many isomorphisms between U and V?
A rectangular box has square base with area of 9 square feet. If the volume of the box is 36 cubic feet, what is the length of the longest object that can fit in the box?
Two seconds after firing the rifle at the target, the shooter hears the impact of the bullet. Sound travels at 1100 feet per second and the bullet at 1865 feet per second. Find out the distance to t
A car travels at 60 mph east for 20 min then at 30 mph north for 30 min. Determine the average speed and average velocity?
A plane flys 2400 miles one way and takes 4 hours, then fly's back the same manner and takes an hour and half longer. Determine the speed of the plane in still air and what is the wind speed?
Jack has two jobs, his annual income from first job being $37,600 and that of second job being $9,400. Write down the relation of the second income to the first in ratio format.
Kathy charges $7.50 per hour to mow lawn Sharon charges 1.5 times as much to do the same job. How much does Sharon charge to mow a lawn?
Provide examples of 2 × 2 matrices such that A, B are invertible but A + B is not.
How many ozs of gold that cost $320 per oz should a man mix with 100 ozs of an alloy that costs $100 per oz to make new alloy that costs $160 per oz?
A deck of cards has the Jacks, Queens and Kings removed. Four cards are chosen and lined up on table.
What is the number of 15-centimetre square tiles required to cover a rectangular floor 5.4 m long and 4.05 m wide?
Compute the length of the diagonal of a rectangular box whose edges are 3 cm, 4 cm, and 12 cm.
Compute the length of the altitude through A of an isosceles triangle in which AB=AC=26 cm and BC=20 cm
Determine the area of this square in feet?