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An insurance policy sells for $1000. Based on past data, an average of 1 in 100 policyholders will file a $25,000 claim, an average of 1 in 200 policyholders will file a $40,000 claim, and an average of 1 in 500 policyholders will file a $200,000 claim. Find the expected value (to the company) per policy sold. Also, If the company sells 10,000 policies, what is their expected profit or loss?
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
At the same time that a 60-foot tall building casts a shadow that is 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closest to the height of the tree?
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
A set of data whose histogram is bell shaped yields a sample mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations are.
If the diameter of a sodium atom is 3.14×10^-8 , how many sodium atoms would fit along a line exactly 9.00 inch long?
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when the rider is 25 m above ground level?
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Lumber costs have increased by 7.5% since last year. If a new home last year cost $237,400, what would be the new cost?
a motel clerk counts his $1 and $10 bills at end of a day. He finds that has a total of 51 bills having a combined montary value of $177. Find the number of bills of each denomination that he has.
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