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A professor provides 12 review problems for an exam and tells the students that the actual exam will consist of 6 problems chosen randomly from the 12 review problems. Alex decides to memorize the solutions to 8 of the 12 problems. If Alex cannot solve any of the other 4 problems that he did not memorize, what is the probability that he is able to solve 4 or more problems correctly in the exam?
the boat's position during the interval of time from t=2s to t=10s is given by s= 4t+2.6t^2-0.08t^3 m
An open (no top) rectangular box with square ends, having a volume of 6400 ft^3 is to be built at a cost of $3 per square foot for the base and $1 per square foot for the sides. Find the dimensions of the least expensive box.
Math 252 The Fundamental Theorem (of Calculus). Find the minimum and maximum values of F(x) on [0, 5]. Suppose it is given that -2∫2f(t)dt = 5. Find -2∫-1f(t)dt
Find how fast the number of potential customers is growing when this ad has run for 5 days.
You know that the venue will cost $1500 to rent for an evening. You also know that it will cost $25 dollars per person. Create an equation in slope-intercept form (y=mx+b) to represent this scenario, where m is the slope (change per person) and b ..
Lars Pacheco has a gross biweekly income of $1,730. How much Social Security tax and Medicare tax should be withheld?
the well circulated air mixture is vented from the room at the same rate, find a formula for the percentage of carbon monoxide in the room at time t?
Find the equation for the set of points whose distance from the x-axis equals the distance from the yz-plane.
If one ball is drawn at random, find the probability it is red. If two balls are drawn, find the probability both are green. If two balls are drawn, find the probability one is red and the other is blue
What is the rate of markdown based on the selling price of a scanner that sells for $498 and is marked down $142? Round to the nearest tenth percent.
DESIGNING A GRAIN SILO A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the accompanying figure).
The integers could represent the results of the "quantization" step in a JPEG image compression, and the number of occurrences of each in the image.
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