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The Clarke family went sailing on a lake. Their boat averaged 6 kilometers per hour. The Rourke family took their outboard runabout for a trip on the lake for the same amount of time. Their boat averaged 14 kilometers per hour. The Rourke family traveled 20 kilometers farther than the Clarke family. How many hours did each family spend on their boat trip?
A building 260 feet tall casts a 70 foot long shadow. Find the angle of elevation of the sun to the nearest degree.
The concessions manager at our local college baseball game must decide whether to have the vendors sell sun visors or umbrellas. There is a 30% chance of rain, a 15% chance of overcast skies, and a 55% chance of sunshine, according to the weather ..
What is the expected value of the expense forecast for the coming year? C. what is the variance of the expense forecast for the coming year?
apply Newton's method to f(x)= the tired norm of x using unit step size. show that it is linearly convergent. Why does quadratic convergence not occur?
The cost C to produce x number of tennis rackets is The tennis rackets are sold wholesale for each, so revenue R is given by Find how many tennis rackets the manufacturer needs to produce and sell to break even.
The dimensions of a closed rectangular box are measured as 73 cm, 67 cm, and 48 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
How many revolutions will a car wheel of diameter 20 inches make as the car travels a distance of 3.14 miles?
k is the growth constant equal to the percent of growth per unit of time. An artifact is discovered at a certain site. If it has 65% of the carbon- 14 it originally contained, what is the approximate age of the artifact?
Of the 1,005 adults surveyed, 673 responded yes. The headline in the article reporting the survey results stated, "Most Americans' Favor the Death Penalty." Use a test of significance to support or refute this headline. use the P-Value method.
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
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