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A window has a lower section in the shape of a rectangle and an upper portion in the shape of a semicircle surmounted on the upper side of this rectangle. The perimeter of the window is 15 units. Find the ratio of the radius of the circle to the height of the rectangle so that the area of the window is a maximum.
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
Framing algebraic equations
A triangle with base 1 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
Find a linear model for the cost, of waste collection as a function of the number of kilograms.
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Upstream, downstream: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Describe the first step to solving the power of a power compared to solving the power of a product of two factors. Give an example of solving a problem containing the power of a power.
A total of 393 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
Determine the boundary values of the 95 percent confidence band for the regression line when Xh = 28. Is your-confidence band wider at this point than the confidence interval in part (a)? Should it be?
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
The length of the transverse axis is 8, and the length of the blue line segment is 7. How long is the red line segment?
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