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In a card game, we remove the Jacks, Queens, Kings, and Aces from a deck of ordinary cards and shuffle them. You draw a card. If it is an Ace, you are paid a dollar and the game is repeated. If it is a Jack, you are paid two dollars and the game ends; if it is a Queen, you are paid three dollars and the game ends; and if it is a King, you are paid four dollars and the game ends. What is the maximum amount of money a rational person would pay to play this game?
b. Calculate the number of days with a demand for 3 days. Calculate the probability of two bottles per day
The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.
Find the future value annuity factor for a term of 29 years with an interest rate of 6.75% compounded annually and determine the total amount of interest you will be earning.
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
A particle starts from a point 0 with an initial velocity of 2m/s and travels along a straight line with a constant acceleration of 2m/(s*s).
The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance beiween the tips of the hands changing at one o'clock?
In a large city, the proportion of households having a dog is 0.4. The proportion of households having a cat is 0.3. The proportion of households having both a dog and a cat is 0.15. What proportion of households has neither a dog nor a cat?
Problem on correlation coefficient
Let M>0, and let f:[a,b]-->R be a function which is continuous on [a,b] and differentiable on (a,b), and such that |f'(x)|
An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in stocks with a 9% return, and a relatively safe bond investment with a 5% return. He has $50,000 ..
A particular company produces widgets. Each widget sells for $9, and the variable cost of producing each unit is 40% of the selling price. If the monthly fixed costs incurred by the company are $50,000, what is the break-even point?
simple pendulum is related to the length L (in feet) of the pendulum by the formula 87t^2=(3.14)^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete on cycle on the swing?
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