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you are designing a wok frying pan that will be shaped like a spherical bowl with handles. A bit of experimentation at home persuades you that you can get one that holds about 3L if you make it 9 cm deep and give the sphere a radius of 16 cm. To be sure, you picture the wok as a solid of revolution, and calculate its volume with an integral. To the nearest cubic centimeter, what volume do you really get?
The standard error of the sample mean is equal to 5 when n=25. If the sample size increases by a factor of four, how will the standard error change?
Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?
Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.
Show your results numerically and graphically. What can you conclude about the affect of the rate of return on your retirement plans ?
Make a chart of the possible dimensions for a rectangle with an area of 196 m2. What are the optimum dimensions of the rectangle for minimizing the perimeter?
What is the range value of the ages of children in the skate park?
In the questions I have below it says a bowl has eight ping pong balls numbered 1,2,2,3,4,5,5,5. You pick a ball at random.
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
Find the missing dimension for this three-demensional figure to the nearest tenth, given the volume and other demensions.
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
How might you involve children in learning geometric concepts? Which geometric concept do you think will be most difficult for children to learn and why?
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
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