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Professor Sofya oers you a chance to get an A++ in the course by playing a simple game. She gives you 50 cookies with white chocolate chips, 50 cookies with dark chocolate chips, and 2 empty identical containers. She asks you to put these 100 cookies into the two containers. For each cookie, you must decide which container to put it in. Then you will be blindfolded, and the positions of the containers will be mixed up. After that, you can choose one container and take ONE cookie. (All cookies feel identical to the touch, and you are not allowed to modify them in any way.) If the cookie you took has dark chocolate chips, you get an A++ for the course. Otherwise,you have to do all homework assignments and take three exams to earn at most A.Figure out which cookies to put in each container so that you have the greatest prob-ability of choosing a cookie with dark chocolate chips.
One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached? You may assume that the pole is perpendicul..
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?
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?
Answer the following questions about the standard normal random variable Z. (Use 4 decimal places in your answers to parts a. through, What is the 97.5th percentile of the standard normal distribution?
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,
Problem solving on single mean
a room measures 16fy by 19 ft the ceiling is 9 ft above the floor a gallon of paint will cover 77.8 ft^2 how many gallons are needed to paint the room.
A team of students seeks to make a flag representing their commitment to the earth. They will be using a green triangle inscribed in a yellow semi-circle.
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
Find the equation of the tangent line
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