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284 people apply for 3 jobs. 61 of the applicants are women. What is the probability that none selected is a woman? Enter your answer with 3 decimal places.
Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.
Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
A machine produces widgets at a defective rate of 10%. A sample of 5 widgets is taken, What is the probability that less than 2 of them are defective?
You are designing a rectangular poster to contain 80 in^2 of printing with 3 inch margins at the top and bottom and 1.5 inch margins at each side. What are the overall dimensions that will minimize the amount of paper use?
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
For each of the following vector spaces, give its dimension and a basis. The set of all symmetric 4 x 4 matrices,
A 30 year old man pays $350 for a one year life insurance policy with coverage of $50,000. If the probability that he will live through the year is 0.9975, what is the expected value of the insurance policy?
at 2p.m., the shadow of a lighthouse is 19 feet long and the angle of elevation is 75 degrees. find the height of the lighthouse.
If you purchase a six-pack of sodas, and measure the amount in each can and find the average, the probability that the average of the six cans will be between 11.9 and 12.1 oz equals which standard normal probability?
The price of a gallon of unleaded gas has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Business and finance. In Bucks County, the property tax rate is $25.32 per $1000 of assessed value. If a house and property have a value of $128,000, find the tax the owner will have to pay.
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