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A rectangular city park has a jogging loop that goes along a length, width, and diagonal of the park. To the nearest yard, find the length of the jogging loop, if the length of the park is 125 yards and its width is 75 yards.
In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability..
find the center and the radius of the circle with equation (4x^2+40x)+(4y^2-8y)=-20
The length of a rectangular garden is 7 feet longer than its width. If the garden's perimeter is 182 feet, what is the area of the garden in square feet?
Draw the diagram for each and discuss the part of the solution that would be different to finding the requested probabilities.
Evaluate the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
About 20% of the population is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic?
A plane headed due east is traveling with an airspeed of 270 miles per hour. The wind currents are moving with constant speed in the direction 240°. If the ground speed of the plane is 135 miles per hour, what is its true course?
Jim Smith believes in 30 years he will need $80,000 to buy a retirement cottage. Assuming he gets an interest rate of 9% compounded annually, how much will he have to invest today to reach his retirement goal?
If 8.5 by 11 paper is available to make a box with a square base and an open top, find the largest possible volume of the box.
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