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1. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8 × 103 miles per hour, to reach the sun? (Round to three places)
2. A circular window of radius 13 inches is to be laminated with a sun block coating that costs $0.95 per square inch to apply. What is the total cost of coating the window, to the nearest cent?
3. A cubical box measures 55 centimeters on each side. If the contents are worth $0.17 per cubic centimeter, how much are the contents worth?
4. For a holiday party, Sarah is making a four-layer torte, which consists of four 8-inch diameter cake layers with a cream topping on each layer. She knows that one recipe of cream will cover 45 square inches of cake. How many batches of the topping must she make to complete her torte? (Use ? = 3.14 as an approximate value)
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
Find the Type II error value.
Probability Definition of Continuity. Suppose that f_x is the probability density function (PDF) of a continuous random variable X. Also suppose that f_x is continuous on (a, b)
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
the length of a rectangular room is 9 feet longer than twice the width. if the room's perimeter is 186 feet, what are thr room's dimensions?
A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 92 km. Find the longest of the real-life distances to the nearest tenth of a kilometer.
A cup of coffee at 179 degrees is poured into a mug and left in a room at 66 degrees. After 7 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case)dT/dt=k(T-66).What is the t..
The cross section of an irrigation canal are isoscles triangles of which three sides are 8 feet long. Determine the angle of elevation.
A new drug cures 80% of the patients to whom it is administered. It is given to 25 patients. Find the probabilities that among these patients, the following results occur.
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
How many students like at most 2 kinds of these chocolate candies?
Objective question based on probability distribution.
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