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A person is holding a rope on a hot air balloon that is rising straight up. The person is a constant 93 feet away from the balloon's starting point and the angle that the rope makes with the ground increases at a rate of 0.01 radians/minute. How fast is the balloon rising when the angle is 0.6 radians?
Use the discriminant to determine how many real-number solutions the equation has. Show steps.
Use the binomial approximation to calculate the probability of accepting the batch of tiles for various values of the proportion of cracked tiles p. Draw the operating characteristic curve.
You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in. margin at the top and bottom and a 1-in. margin at each side. What overall dimensions will minimize the amount of paper used?
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
How many bit strings of length n are palindromes? Hint: Consider two cases n is even and n is odd. Note a palindrome is a "string" of letters or numbers which read the same frontwards and backwards.
Long Term Interest of Stockholders, Which of the following goals is in the best long-term interest of stockholders?
what is the probability that all will make a purchase and evaluate the probability that a light bulb will burn out in less than 1000 hours.
thin plate has the shape of an isosceles triangle wide at the bottom and high. If the plate is submerged vertically in water with the top vertex below the surface and the bottom edge horizontal, find the total force against the (two sides of ) the..
Estimate rate of changes.
Evaluate the integral: Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
Important information about Probability, Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?
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